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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Higher-order topological superconductor on the bipartite triangular lattice
Место публикации : Phys. Rev. B. - 2022. - Vol. 105, Is. 15. - Ст.155423. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.105.155423
Примечания : Cited References: 68. - The author thanks M. M. Korovushkin, S. V. Aksenov, M. S. Shustin, V. A. Mitskan, A. O. Zlotnikov, and D. M. Dzebisashvili for the fruitful discussions and valuable remarks. The reported study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: “Study of edge states in one- and two-dimensional topological superconductors” (Grant No. 20-42-243005)
Аннотация: In order to investigate the possibility of construction of the higher-order topological superconductor on the triangular lattice, the different types of the coupling of chiral topological superconductor edge states are considered. It is demonstrated that the widespread criterion of the topological corner mode's appearance consisting in edge-state effective mass changing at the corner has to be modified in the case of multiple Dirac points in the edge-state spectrum. It is shown that the effective mass must be of the same sign at all Dirac points on one edge adjacent to the corner and be opposite at all the Dirac points on another one. For a two-dimensional system constructed from two chiral topological superconductors on the triangular lattice with inverted bands, two types of interactions leading to the higher-order topological superconducting phase are revealed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pilipchuk A. S., Sadreev A. F.
Заглавие : Desktop laboratory of bound states in the continuum in metallic waveguide with dielectric cavities
Место публикации : Phys. Rev. B. - 2022. - Vol. 106, Is. 7. - Ст.075304. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.106.075304
Примечания : Cited References: 64. - We are grateful to Lujun Huang, Andrey Miroshnichenko and Yi Xu for presentation of unpublished paper and discussions. The research was supported by Russian Science Foundation No. 22-12-00070
Аннотация: We consider dielectric cavities whose radiation space is restricted by two parallel metallic planes. The TM solutions of the Maxwell equations of the system are equivalent to the solutions of periodical arrays of dielectric cavities. The system readily allows to achieve bound states in the continuum (BICs) of any type including topological BICs as dependent on position and orientation of the cavities relative to the planes and that extremely facilitates experimental studies in comparison to infinite arrays of the cavities. We show the effect of merging of topologically protected BICs that pushes the square asymptotic of the Q factor into the power degree 4 or even 6.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zlotnikov A. O., Shustin M. S., Fedoseev A. D.
Заглавие : Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology
Коллективы : Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42240011, 20-42-243001]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
Место публикации : J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P.3053-3088. - ISSN 1557-1939, DOI 10.1007/s10948-021-06029-z. - ISSN 1557-1947(eISSN)
Примечания : Cited References: 230. - The study was funded by the Russian Foundation for Basic Research (Project No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Grants No. 19-42240011, 20-42-243001). A.O.Z. and M.S.S. are grateful to the support of the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
Предметные рубрики: D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
Аннотация: The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range noncollinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Corner excitations in the 2D triangle-shaped topological insulator with chiral superconductivity on the triangular lattice
Место публикации : J. Phys.: Condens. Matter. - 2020. - Vol. 32, Is. 40. - Ст.405302. - ISSN 09538984 (ISSN), DOI 10.1088/1361-648X/ab9e2f
Примечания : Cited References: 49. - The author thanks D M Dzebisashvili, M S Shustin, V A Mitskan and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was funded by the Russian Foundation for Basic Research (Projects Nos. 19-02-00348, 19-42-240011) and the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK-1641.2020.2)
Аннотация: The 2D triangle-shaped C 3-symmetric topological insulator with the chiral superconducting coupling on the triangular lattice is investigated. While such a system cannot provide the topologically protected corner excitations, we report the presence of the nontopological corner excitations with energy value to lie in the first-order edge spectrum gap. Though these excitations are not topologically protected, they appear for a rather wide range of the parameters values and are robust against the boundary defects and weak disorder. We reveal the presence of the Majorana corner states, which appear along the line in the parameter space.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Realization conditions and the magnetic field dependence of corner excitations in the topological insulator with superconducting coupling on the triangular lattice
Коллективы : Russian Foundation for Basic Research, Government of Krasnoyarsk Territory [19-02-00348]; Krasnoyarsk Regional Fund of Science [20-42-243005]; "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK1641.2020.2]
Место публикации : J. Exp. Theor. Phys. - 2021. - Vol. 133, Is. 1. - P.71-76. - ISSN 1063-7761, DOI 10.1134/S1063776121060029. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 38. - This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: "Study of edge states in oneand two-dimensional topological superconductors" (no. 20-42-243005), "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (no. 19-42-240011), and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Project MK1641.2020.2)
Предметные рубрики: EDGE
STATES
ORDER
Аннотация: The studies of the topological properties of systems have recently been extended due to a new concept of higher-order topological insulators and superconductors. Many models were proposed for two-dimensional systems on a square lattice, where corner excitations can appear; however, the problem of existence of such excitations in superconducting systems with a triangular crystal lattice is still poorly understood. Using a topological insulator in the form of a triangle with a chiral superconducting order parameter as an example, we shows that corner excitations can exist in C3-symmetric systems. In spite of a nontopological character, these excitations have energies inside the gap of the first-order edge excitation spectrum over a wide parameter range and are well localized at the corners of the system. Gapless corner excitations are shown to exist in the system at certain parameters. The application of a magnetic field in the system plane removes the triple degeneracy of the corner excitation energy and makes it possible to control the position of the minimum-energy corner excitation using a magnetic field. At the same time the fine adjustment to achieve the gapless excitations at the chosen corner can be made with changing of the magnetic field value.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ivanov D. A., Togushova Y. N., Korshunov M. M.
Заглавие : Changes of the Fermi surface topology in the three-orbital model for iron pnictides with the spin-orbit coupling
Колич.характеристики :9 с
Место публикации : J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P.795-803. - ISSN 19971397 (ISSN); Журн. СФУ. Матем. и физ. - ISSN 23136022 (eISSN)
Примечания : Cited References: 28
Аннотация: Effect of the spin-orbit coupling on the band structure and the Fermi surface of the three-orbital model is studied. The inter-orbital part of the model is reformulated to fully conform with the iron lattice symmetry. Because there are two iron ions in the unit cell, we introduce the intra-and inter-ion spin-orbit coupling constants to separate the effect of the related couplings on the band structure and the Fermi surface. Both the intra-and inter-ion parts lift the degeneracy of some bands at the Γ = (0, 0) point and the splitting of bands along the (0, π) ‒ (π, π) direction of the Brillouin zone. We show that the inter-ion part of the spin-orbit coupling leads to the topological change of the Fermi surface — the splitting of two Fermi surface sheets around the M = (π, π) point.Изучено влияние спин-орбитального взаимодействия на зонную структуру и поверхность Ферми в трехорбитальной модели. Межорбитальная часть модели изменена для полного соответствия с симметрией решетки железа. Из-за наличия двух ионов железа в элементарной ячейке мы вводим внутри- и межионную константы спин-орбитального взаимодействия для разделения эффектов соответствующих взаимодействий на зонную структуру и поверхность Ферми. И внутри, и межионная части снимают вырождение некоторых зон в точке Γ = (0, 0) и вырождение вдоль направления (0, π) − (π, π) зоны Бриллюэна. Показано, что межионная часть спин-орбитального взаимодействия приводит к изменению топологии поверхности Ферми, а именно к разделению листов поверхности Ферми вблизи точки M = (π, π).
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Andriushin N. D., Sukhanov A. S., Korshunov A. N., Pavlovskii M. S., Rahn M. C., Nikitin S. E.
Заглавие : Phonon topology and winding of spectral weight in graphite
Колич.характеристики :6 с
Место публикации : Phys. Rev. Lett. - 2023. - Vol. 131, Is. 24. - Ст.246601. - ISSN 00319007 (ISSN), DOI 10.1103/PhysRevLett.131.246601. - ISSN 10797114 (eISSN)
Примечания : Cited References: 42. - We thank R. Coldea for stimulating discussions. A. Bosak participated in the discussion and preparation of the experiment. We acknowledge financial support from the Swiss National Science Foundation, from the European Research Council under the grant Hyper Quantum Criticality (HyperQC), the German Research Foundation (DFG) through the Collaborative Research Center SFB 1143 (Project No. 247310070), and from the European Union Horizon 2020 research and innovation program under Marie Skłodowska-Curie Grant No. 884104. We acknowledge the European Synchrotron Radiation Facility (ESRF) for provision of synchrotron radiation facilities
Аннотация: The topology of electronic and phonon band structures of graphene is well studied and known to exhibit a Dirac cone at the K point of the Brillouin zone. Here, we applied inelastic x-ray scattering (IXS) along with ab initio calculations to investigate phonon topology in graphite, the 3D analog of graphene. We identified a pair of modes that form a very weakly gapped linear anticrossing at the K point that can be essentially viewed as a Dirac cone approximant. The IXS intensity in the vicinity of the quasi-Dirac point reveals a harmonic modulation of the phonon spectral weight above and below the Dirac energy, which was previously proposed as an experimental fingerprint of the nontrivial topology. We illustrate how the topological winding of IXS intensity can be understood in terms of atomic displacements and highlight that the intensity winding is not in fact sensitive in telling quasi- and true Dirac points apart.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Gamov A.
Заглавие : Interplay of ferromagnetism and nontrivial topology in triple layers Te-Mn-Te of MnBi2Te4
Коллективы : "Spin physics, spin chemistry, and spin technology", Internnational conference, Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН, Казанский (Приволжский) федеральный университет, Казанский научный центр РАН
Место публикации : Spin physics, Spin chemistry and Spin technology", International conference: abstracts : Kazan science week. - Kazan, 2023. - P.210-211
Примечания : Cited References: 4. - РФН № 23-22-10021 ; Красноярский регион. фонд науки
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V.
Заглавие : Features of physical observables of a strongly correlated superconducting nanowire with Rashba spin–orbit interaction
Место публикации : J. Exp. Theor. Phys. - 2022. - Vol. 135, Is. 4. - P.500-512. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776122100181. - ISSN 10906509 (eISSN)
Примечания : Cited References: 66. - This study was supported by the Russian Foundation for Basic Research (project nos. 19-02-00348 and 20-02-00015), the administration of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation (project nos. 20-42-243001 and 20-42-243005), and the Council for Grants from the President of Russian Federation (projects nos. MK-1641.2020.2 and MK-4687.2022.1). One of the authors (Sh.M.S.) thanks the Foundation for the Development of Theoretical Physics and Mathematics “BASIS”
Аннотация: We analyze the behavior of caloric characteristics and the electron component of the spin polarization of excitations in the regime of strong electron correlations of a nanowire, which is characterized by induced superconductivity of the extended s-type symmetry, the Rashba spin–orbit interaction, and the Zeeman splitting of on-site energy. The problem has been analyzed using the density matrix renormalization group method. It is shown that for unambiguous identification of different phases (the topologically trivial phase with edge excitations and without them, as well as topologically nontrivial phases with one or several pairs of Majorana modes), it is insufficient to analyze each of the aforementioned characteristics separately; it is necessary to consider their features simultaneously.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Gamov A.
Заглавие : Interplay between magnetism and topology in MnBi2Te4
Колич.характеристики :8 с
Место публикации : JETP Lett. - 2023. - Vol. 118, Is. 5. - P.328-335. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364023602336. - ISSN 10906487 (eISSN)
Примечания : Cited References: 37. - This work was supported by the Russian Science Foundation (project no. 23-22-10021, https://rscf.ru/project/23-22-10021/) and by the Krasnoyarsk Regional Fund of Science
Аннотация: The dependence of the topology of the fermion excitation spectrum on the magnetic state of the system is analyzed taking into account the structure of the Te–Mn–Te trilayer in the Te–Bi–Te–Mn–Te–Bi–Te layer sequence of the MnBi2Te4 van der Waals single crystal, crystal field effects, spin–orbit coupling, and the covalent mixing of electronic states of Mn2+ ions with electronic states of Te2– ions in the strong electron correlation regime. The Chern number in the ferromagnetic phase, which is due to the kinematic interaction between Hubbard fermions, is equal to 1; i.e., the topology of the band structure of the Te–Mn–Te trilayer is nontrivial. The Chern number in the paramagnetic phase is zero; i.e., the topology is trivial. The magnetic moments of Mn2+ ions for the constructed spin orbitals are perpendicular to the layers. The magnetic moments of Mn2+ ions in the nearest layers are antiferromagnetically ordered via the Anderson mechanism.
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Mitskan V. A., Shustin M. S.
Заглавие : Ground-State Fermion Parity and Caloric Properties of a Superconducting Nanowire
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 129, Is. 3. - P.426-437. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776119080144
Примечания : Cited References: 74. - This work was supported by the Russian Foundation for Basic Research (project nos. 16-02-00073, 18-32-00443, 18-42-243017, 18-42-243018), the Government of the Krasnoyarsk Kray, the Krasnoyarsk Kray Science Foundation within the scientific projects “Contact Phenomena and Magnetic Disorder in the Formation and Detection of Topologically Protected Edge States in Semiconductor Nanostructures” (project no. 18-42-243018), “Manifestation of Coulomb Interactions and Bounded-Geometry Effects in the Properties of Topological Edge States of Nanostructures with Spin–Orbit Interactions” (project no. 18-42-243017). One of us (Sh. M. S.) thanks the Council for Grants of the Russian President (project nos. MK-3594.2018.2 and MK-3722.2018.2).
Аннотация: Abstract: The ground-state structure and fermion parity have been determined for a semiconductor nano-wire with a strong Rashba spin–orbit interaction and proximity-induced superconductivity placed in an external magnetic field under periodic boundary conditions. Allowance for the open boundaries is shown to cause the topologically nontrivial parameter region to be partitioned into a set of subregions with a different ground-state fermionic parity. This peculiarity is related to the emergence of edge modes with nonmonotonically changing excitation energies in the system as its parameters change. At the quantum transition point, at which the ground-state fermionic parity changes, the edge-mode energy is zero. The magneto- and electrocaloric effects are shown to be effective characteristics that allow the series of quantum transitions in an open nanowire to be identified experimentally. These effects at low temperatures exhibit an anomalous behavior in the parameter region for which topologically stable Majorana modes are realized in long nanowires. © 2019, Pleiades Publishing, Inc.
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Rotter I., Sadreev A. F.
Заглавие : Avoided level crossings, diabolic points, and branch points in the complex plane in an open double quantum dot
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2005. - Vol. 71, Is. 3. - Ст.36227. - ISSN 1063-651X, DOI 10.1103/PhysRevE.71.036227
Примечания : Cited References: 49
Предметные рубрики: BERRY TOPOLOGICAL PHASE
EXCEPTIONAL POINTS
GEOMETRIC PHASES
NUCLEAR REACTIONS
RESONANCE STATES
UNIFIED THEORY
S-MATRIX
CONTINUUM
REPULSION
INTERFEROMETER
Ключевые слова (''Своб.индексиров.''): branch points in the complex plane (bpcp)--diabolic points (dp)--geometric phases--riemann sheets--eigenvalues and eigenfunctions--electron energy levels--functions--hamiltonians--quantum theory--resonance--topology--semiconductor quantum dots
Аннотация: We study the spectrum of an open double quantum dot as a function of different system parameters in order to receive information on the geometric phases of branch points in the complex plane (BPCP). We relate them to the geometrical phases of the diabolic points (DPs) of the corresponding closed system. The double dot consists of two single dots and a wire connecting them. The two dots and the wire are represented by only a single state each. The spectroscopic values follow from the eigenvalues and eigenfunctions of the Hamiltonian describing the double dot system. They are real when the system is closed, and complex when the system is opened by attaching leads to it. The discrete states as well as the narrow resonance states avoid crossing. The DPs are points within the avoided level crossing scenario of discrete states. At the BPCP, width bifurcation occurs. Here, different Riemann sheets evolve and the levels do not cross anymore. The BPCP are physically meaningful. The DPs are unfolded into two BPCP with different chirality when the system is opened. The geometric phase that arises by encircling the DP in the real plane, is different from the phase that appears by encircling the BPCP. This is found to be true even for a weakly opened system and the two BPCP into which the DP is unfolded.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Komogortsev S. V., Fel’k V. A., Iskhakov R. S., Shadrina G. V.
Заглавие : Micromagnetism in a planar system with a random magnetic anisotropy and two-dimensional magnetic correlations
Место публикации : J. Exp. Theor. Phys.: MAIK Nauka-Interperiodica / Springer, 2017. - Vol. 125, Is. 2. - P.323-332. - ISSN 10637761 (ISSN), DOI 10.1134/S1063776117070196
Примечания : Cited References: 68. - This work was supported by the Russian Foundation for Basic Research, project no. 16-03-00256.
Ключевые слова (''Своб.индексиров.''): anisotropy--crystallite size--defects--magnetic domains--magnetic materials--magnetism--magnetization--microstructure--stochastic systems--topology--dipole interaction--dipole interaction energy--magnetic correlation--magnetic microstructures--micromagnetic simulations--micromagnetic structure--random magnetic anisotropies--two-dimensional magnetization--magnetic anisotropy
Аннотация: The hysteresis loops and the micromagnetic structure of a ferromagnetic nanolayer with a randomly oriented local easy magnetization axis and two-dimensional magnetization correlations are studied using a micromagnetic simulation. The properties and the micromagnetic structure of the nanolayer are determined by the competition between the anisotropy and exchange energies and by the dipole–dipole interaction energy. The magnetic microstructure can be described as an ensemble of stochastic magnetic domains and topological magnetization defects. Dipole–dipole interaction suppresses the formation of topological magnetization defects. The topological defects in the magnetic microstructure can cause a sharper change in the coercive force with the crystallite size than that predicted by the random magnetic anisotropy model. © 2017, Pleiades Publishing, Inc.
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Korshunov M. M., Kozeeva L. P., Lavrov A. N.
Заглавие : Peculiarity of interrelation between electronic and magnetic properties of HTSC cuprates associated with short-range antiferromagnetic order
Коллективы :
Место публикации : J. Exp. Theor. Phys.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2010. - Vol. 111, Is. 1. - P104-113. - ISSN 1063-7761, DOI 10.1134/S1063776110070101
Примечания : Cited References: 48. - This study was financially supported by the Russian Foundation for Basic Research (project nos. 09-02-01224 and 09-02-00127) and under the program "Quantum Physics of Condensed Media" of the Presidium of the Russian Academy of Sciences (project no. 5.7).
Предметные рубрики: T-J MODEL
NORMAL-STATE
FERMI-SURFACE
RESISTIVITY ANISOTROPY
3-CENTER INTERACTIONS
OPTICAL CONDUCTIVITY
COPPER OXIDES
CUO2 PLANES
SUPERCONDUCTORS
TRANSPORT
Ключевые слова (''Своб.индексиров.''): anisotropic resistivity--antiferromagnetic orders--concentration dependence--cuprates--doping levels--electronic and magnetic properties--fermi surface topology--high temperature superconducting--magnetic orders--magnetic state--maximum values--pseudo-gap--short-range magnetic orders--strong electron correlations--temperature dependence--anisotropy--antiferromagnetic materials--antiferromagnetism--copper compounds--correlators--electronic properties--high temperature superconductors--hole concentration--magnetic properties--neon--superconducting magnets--single crystals
Аннотация: We report on the results of measurements of anisotropic resistivity of RBa(2)Cu(3)O(6 + x) (R = Tm, Lu) high-temperature superconducting single crystals in a wide range of doping levels, indicating a nontrivial effect of magnetic order on the electronic properties of cuprates. In particular, our results visually demonstrate the crossover from the state with moderate anisotropy of resistivity rho (c) /rho (ab) similar to 30 to a strongly anisotropic state with rho (c) /rho (ab) similar to 7 x 10(3) upon cooling as well as upon a decrease in the hole concentration in the CuO(2) planes. It is also shown that anisotropy is sensitive to the magnetic state of CuO(2) planes and attains its maximum value after the establishment of the long-range antiferromagnetic order. The results are discussed in the framework of the theory based on the t-t'-taEuro(3)-J model of CuO(2) layers taking into account strong electron correlations and short-range magnetic order. In this theory, anomalies of spin correlators and Fermi surface topology for a critical hole concentration of p* a parts per thousand 0.24 are demonstrated. The concentration dependence of the charge carrier energy indicates partial suppression of energy due to the emergence of a pseudogap at p p*. This theory explains both the experimentally observed sensitivity of anisotropy in conductivity to the establishment of the antiferromagnetic order and the absence of anomalies in the temperature dependence of resistivity rho (ab) (T) in the vicinity of the N,el temperature.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Nikolaev S. V.
Заглавие : Calculation of the Fermi Surface with Complex Topology from Norm-Conserving Cluster Perturbation Theory for Doping Dependent Electronic Structure of the Hubbard Model
Место публикации : JETP Letters. - 2011. - Vol. 93, Is. 9. - P.517-520. - ISSN 0021-3640, DOI 10.1134/S0021364011090116
Примечания : Cited References: 27. - This work was supported by the Presidium of the Russian Academy of Sciences (program no. 18.7); the Russian Foundation for Basic Research (project nos. 09-02-00127, 10-02-90725-mob_st); Siberian Branch, Russian Academy of Sciences (Integration Project no. N40); and the Ministry of Education and Sciences of the Russian Federation (state contract no. P891, Program "Kadry").
Предметные рубрики: QUANTUM OSCILLATIONS
SUPERCONDUCTORS
EVOLUTION
Аннотация: The results of recently developed norm-conserving cluster perturbation theory for doping dependent electronic structure of the Hubbard model are reported. We have found that the momentum distribution of the spectral weight strongly depends on the broadening value delta. At delta = 0.1t, we reproduce the angle-resolved photoemission spectroscopy data, while at delta = 0.01t we obtain two quantum phase transitions. DOI: 10.1134/S0021364011090116
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Shneyder E. I., Korshunov M. M.
Заглавие : From underdoped to overdoped cuprates: two quantum phase transitions
Разночтения заглавия :авие SCOPUS: From underdoped to overdoped cuprates: Two quantum phase transitions
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 2011. - Vol. 23, Is. 4. - Ст.45701. - ISSN 0953-8984, DOI 10.1088/0953-8984/23/4/045701
Примечания : Cited References: 58. - We would like to thank S Sakai for useful discussions. The authors acknowledge support by the Russian Foundation for Basic Research (grant N 09-02-00127), by the Integration Program of SBRAS N40, the Presidium RAS Program 5.7, President of Russia (grant MK-1683.2010.2), FCP Scientific and Research-and-Educational Personnel of Innovative Russia for 2009-2013 (GK P891), and in part by the National Science Foundation under grant NSF PHY05-51164.
Предметные рубрики: HIGH-TEMPERATURE SUPERCONDUCTORS
T-J MODEL
CORRELATED FERMION SYSTEMS
VALENCE BOND STATE
MEAN-FIELD-THEORY
CRITICAL-POINT
HEISENBERG-ANTIFERROMAGNET
EXCITATIONS
PSEUDOGAP
OSCILLATIONS
Ключевые слова (''Своб.индексиров.''): critical concentration--critical points--cuprates--density of state--fermi surface topology--hall effect measurement--high-t--optimal doping--overdoped--pseudo-gap--quantum phase transitions--theoretical study--copper compounds--hall effect--magnetic field effects--phase diagrams--phase transitions
Аннотация: Several experimental and theoretical studies indicate the existence of a critical point separating the underdoped and overdoped regions of the high-T-c cuprates' phase diagram. There are at least two distinct proposals on the critical concentration and its physical origin. The first one is associated with the pseudogap formation for p p*, with p* approximate to 0.2. The other relies on the Hall effect measurements and suggests that the critical point and the quantum phase transition (QPT) take place at optimal doping, p(opt) approximate to 0.16. Here we have performed a precise density of states calculation and found that there are two QPTs and the corresponding critical concentrations associated with the change of the Fermi surface topology upon doping.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedoseev A. D.
Заглавие : Size Effects on the Conditions of Edge State Formation in 1D Systems
Место публикации : J. Exp. Theor. Phys. - 2019. - Vol. 128, Is. 1. - P.125-132. - ISSN 10637761 (ISSN), DOI 10.1134/S106377611812004X
Примечания : Cited References: 28. - The reported study was funded by Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund according to the research project 17-42-240441 "Majorana bound fermions in the nanomaterials with strong electron correlations and quantum electron transport in the devices containing these materials," project no. 18-32-00443 "Finite-size effects and the role of electron correlations in the formation of the Majorana modes in low-dimensional systems with the spin-orbit interaction," project no. 18-42-243017 "Manifestation of Coulomb interactions and limited geometry effects in the properties of topological edge states of nanostructures with the spin-orbit interaction," project no. 18-42-243018 "Contact phenomena and magnetic disorder in the problem of formation and detection of topologically protected edge states in semiconducting nanostructures," as well as grant of the President of the Russian Federation no. MK 3722.2018.2.
Ключевые слова (''Своб.индексиров.''): cylinders (shapes)--1d systems--cylindrical geometry--edge state--finite length--kitaev model--localization length--size effects--topological index--topology
Аннотация: A criterion for revealing edge states in the case when the size of a system is comparable with the localization length of these states has been proposed. The application of the algorithm for determining edge states in short systems has been demonstrated on examples of the Bernevig–Hughes–Zhang (BHZ) model in the cylindrical geometry, the Kitaev model, and a chain with the spin–orbit interaction and induced superconductivity. It has been shown that for finite-length 1D systems, there exist ranges of parameters in which the edge states are not formed, although the topological index is nontrivial; conversely, the emergence of the Majorana modes in regions with a trivial topological index has been demonstrated.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Stability of the Coexistence Phase of Chiral Superconductivity and Noncollinear Spin Ordering with a Nontrivial Topology and Strong Electron Correlations
Место публикации : JETP Letters. - 2019. - Vol. 109, Is. 11. - P.736-743. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364019110158
Примечания : Cited References: 37. - We are grateful to M.S. Shustin for stimulating discussions. This work was supported by the Russian Foundation for Basic Research (project nos. 19-02-00348-а and 18-32-00443-mol-a); jointly by the Russian Foundation for Basic Research, the Government of Krasnoyarsk Region, and the Krasnoyarsk Region Science and Technology Support Fund (project no. 18-42-243002 “Manifestation of Spin–Nematic Correlations in Spectral Characteristics of the Electronic Structure and Their Effect on the Practical Properties of Cuprate Superconductors”); and by the Presidium of the Russian Academy of Sciences (program no. I.12 “Fundamental Problems of High-Temperature Superconductivity”). A.O.Z. acknowledges the support of the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project no. MK-3594.2018.2).
Аннотация: It has been shown that quantum charge and spin fluctuations in a strongly correlated 2D system with a triangular lattice, significantly renormalizing the magnetic order parameter, do not destroy the coexistence phase of chiral d + id superconductivity and 120° spin ordering. The region of realization of nontrivial topology determined by the topological index N3 holds. It has been shown that edge states for the topologically non-trivial phase include a Majorana mode. The spatial structure of this mode has been determined. It has been found that spin and charge fluctuations shift the critical electron densities at which quantum topological transitions occur. It has been shown that an increase in the intersite Coulomb repulsion reduces the number of such transitions. © 2019, Pleiades Publishing, Inc.
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O.
Заглавие : Topological phase of coexisting superconductivity and 120-degree magnetic order on a triangular lattice
Место публикации : Bull. Russ. Acad. Sci. Phys. - 2018. - Vol. 82, Is. 5. - P.588-590. - ISSN 10628738 (ISSN), DOI 10.3103/S1062873818050325
Примечания : Cited References: 12. - This study was supported by the Russian Foundation for Basic Research, the Government of Krasnoyarsk krai, and the Krasnoyarsk Territorial Foundation for Science and Technology, project nos. 16-02-00073, 17-42-240441, and 16-42-243069. A.O. Zlotnikov acknowledges the support of the RF Presidential Grant Council, project nos. SP-1370.2015.5 and MK-1398.2017.2.
Ключевые слова (''Своб.индексиров.''): linear combinations--nontrivial topology--self-consistent calculation--spin wave approximation--sublattice magnetization--superconducting order parameters--topological phase--triangular lattice
Аннотация: Using the t–J–V model, self-consistent calculations of the superconducting order parameter described by a linear combination of dx2−y2+idxy and p x + ip y chiral invariants are performed in the phase of coexistence with 120-degree magnetic ordering. Sublattice magnetization is determined in the spin-wave approximation for the case of half-filling. A nontrivial topology of the coexistence phase is demonstrated, testifying to the possibility of obtaining edge states and Majorana modes.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Zlotnikov A. O., Shustin M. S.
Заглавие : The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120 degrees magnetic order on a triangular lattice [Electronic resource]
Место публикации : ArXiv. - 2017. - Ст.1707.04422
Вид и объем ресурса: Electronic text data
Примечания : Cited References: 19. - This study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Kranoyarsk Region Science and Techonology Support Fund according to the research projects Nos. 16-02-00073-a (calculation of the topological invariant of a 2D lattice) and 16-42-243069-mol-a (calculation of the Z2 invariant). A.O.Z. is grateful for support of the Grant of the President of the Russian Feeration SP-1370.2015.5. The work of M.S.S. was supported by the Grant of the President of the Russian Federation MK-1398.2017.2.
Ключевые слова (''Своб.индексиров.''): majorana zero modes--topological invariant--chiral superconductivity--noncollinear magnetic order--triangular lattice
Аннотация: The Z2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120 degrees magnetic ordering. By analyzing the Z2 invariant, we determine the conditions of implementing nontrivial phases in the model with regard to superconducting pairings between nearest and next nearest neighbors. It is often supposed in such system that the pairing parameter between nearest neighbors should be equal to zero due to influence of the intersite Coulomb interaction. We show that taking into account even weak pairings in the first coordination sphere leads to the disappearance of the gapless excitations of the bulk spectrum in the wide region of the parameter space. Thus topological invariants can be defined in such region. Solving the problem of open edges it is shown that the zero energy modes are realized basically in the topologically nontrivial phases. Such zero modes are topologically protected Majorana modes. A connection between the Z2 invariant calculated at the symmetric points of the Brillouin zone with respect to the electron-hole symmetry and the integer topological invariant of the ground state of the 2D lattice expressed in terms of the Green functions is established in the presence of noncollinear magnetic ordering.
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