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1.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Val'kov V. V., Ulanov E. A.
Заглавие : A Fano resonance in transport characteristics of 1D atomic spin structures
Коллективы : Институт теоретической физики им. Л. Д. Ландау РАН, Институт физики твердого тела РАН, "Mesoscopic and Strongly Correlated Electron Systems", conference (6; 2012 ; июнь ; 17-23; Черноголовка, Моск. обл.)
Место публикации : Book of abstracts of Advances Research Workshop "Meso–2012". - 2012. - P.37
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2.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Andreev bound states and the Josephson current through a spin dimeric structur
Коллективы : "Spin Waves", International Simposium, Физико-технический институт им. А.Ф. Иоффе РАН
Место публикации : Spin Waves 2015, Int. Symp.: abstracts. - СПб., 2015. - P.126
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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Kagan, M. Yu.
Заглавие : Collapse of the Fano resonance caused by the nonlocality of the majorana state
Коллективы : Presidium of the Russian Academy of SciencesRussian Academy of Sciences [32]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348, 20-32-70059, 20-02-00015]; Krasnoyarsk Science Foundation [19-42-240011]; Government of the Krasnoyarsk Territory; Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK3722.2018.2]; National Research University Higher School of Economics
Место публикации : JETP Letters. - 2020. - Vol. 111, Is. 5. - P.286-292. - ISSN 0021-3640, DOI 10.1134/S0021364020050057. - ISSN 1090-6487(eISSN)
Примечания : Cited References: 37. - The work was supported by the Presidium of the Russian Academy of Sciences (Program of Basic Research no. 32 "Nanostructures: Physics, Chemistry, Biology, and Fundamentals of Technologies"), by the Russian Foundation for Basic Research (project nos. 19-02-00348, 20-32-70059, and 20-02-00015), and by the Government of the Krasnoyarsk Territory together with the Krasnoyarsk Science Foundation (project no. 19-42-240011 "Coulomb Interactions in the Problem of Majorana Modes in Low-Dimensional Systems with Nontrivial Topology"). S.V. Aksenov acknowledges the support of the Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific Schools, grant no. MK3722.2018.2. M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (program of basic research).
Предметные рубрики: BOUND-STATES
QUANTUM TRANSITIONS
TRANSMISSION
CONTINUUM
CASCADE
Аннотация: Owing to the nonlocal character of the Majorana state, the corresponding excitations are of great interest. It is demonstrated that the direct consequence of such nonlocality is the collapse of the Fano resonance manifesting itself in the conductance of an asymmetric interference device, the arms of which are connected by a one-dimensional topological superconductor. In the framework of the spinless model, it is shown that the predicted effect is associated with an increase in the multiplicity of the degeneracy of the zero-energy state of the structure arising at the critical point of the Kitaev model. Such an increase leads to the formation of a bound state in the continuum.
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4.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kagan, M. Yu., Val'kov V. V., Aksenov S. V.
Заглавие : Coulomb interactions-induced perfect spin-filtering effect in a quadruple quantum-dot cell
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : J. Magn. Magn. Mater.: Elsevier Science, 2017. - Vol. 440: EURO-Asian Symposium on Trends in Magnetism (EASTMAG) (AUG 15-19, 2016, Siberian Fed Univ, Krasnoyarsk, RUSSIA). - P.15-18. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2016.12.106. - ISSN 1873-4766(eISSN)
Примечания : Cited References:29. - We acknowledge fruitful discussions with P.I. Arseyev, N.S. Maslova, V.N. Mantsevich and R.Sh. Ikhsanov. This work was supported by the Comprehensive programme SB RAS no. 0358-2015-0007, the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund to the research projects nos. 15-02-03082, 16-42-243056, 16-42-242036, 17-42-240441. M.Yu.K. thanks the Program of Basic Research of the National Research University Higher School of Economics for support.
Предметные рубрики: SPINTRONICS
TRANSPORT
MODEL
Ключевые слова (''Своб.индексиров.''): spin filter--quantum interference--fano-feshbach resonance--coulomb--correlations
Аннотация: A quadruple quantum-dot (QQD) cell is proposed as a spin filter. The transport properties of the QQD cell were studied in linear response regime on the basis of the equations of motion for retarded Green's functions. The developed approach allowed us to take into account the influence of both intra-and interdot Coulomb interactions on charge carriers' spin polarization. It was shown that the presence of the insulating bands in the conductance due to the Coulomb correlations results in the emergence of spin-polarized windows (SPWs) in magnetic field leading to the high spin polarization. We demonstrated that the SPWs can be effectively manipulated by gate fields and considering the hopping between central dots in both isotropic and anisotropic regimes.
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5.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Zlotnikov A. O., Fedoseev A. D., Shustin M. S.
Заглавие : Edge states and Majorana modes in condensed matter
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016): abstracts/ ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk: KIP RAS SB, 2016. - Ст.I1.14. - P.31. - ISBN 978-5-904603-06-9 (Шифр -478014040)
Примечания : References: 3
Ключевые слова (''Своб.индексиров.''): majorana fermions--edge states--triangular lattice--honeycomb lattice--electronic transport
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6.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of local coulomb interaction on majorana corner modes
Коллективы : International Conference on Supercondactivity and Magnetism
Место публикации : 8th International conference on supercondactivity and magnetism (ICSM2023): abstract book. - 2023. - P.454
Примечания : Cited References: 4. - РНФ № 22-22-20076
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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits
Место публикации : Phys. Rev. B. - 2023. - Vol. 107, Is. 12. - Ст.125401. - ISSN 24699950 (ISSN), DOI 10.1103/PhysRevB.107.125401. - ISSN 24699969 (eISSN)
Примечания : Cited References: 63. - We acknowledge fruitful discussions with D. M. Dzebisashvili and V. A. Mitskan. The reported study was supported by Russian Science Foundation Project No. 22-22-20076, and Krasnoyarsk Regional Fund of Science
Аннотация: Here we present an analysis of the evolution of Majorana corner modes realizing in a two-dimensional higher-order topological superconductor (HOTSC) on a square lattice under the influence of local Coulomb repulsion. Both weak- and strong-interaction regimes are studied. It is shown that in the homogeneous system, the weak repulsion widens the region of the topologically nontrivial phase on the phase diagram. The open-boundary effect, resulting in spatial inhomogeneity of the system, leads to the appearance of the ground-state crossover as the repulsion intensity increases. Before the crossover, concentration correlators are C4 symmetric and spin independent, and the corner states have energies that are determined by the overlap of the excitation wave functions localized at the different corners. After the crossover, the concentration correlators are spin dependent and possess the spontaneously broken symmetry. In turn, the corner excitation energy is size independent and defined by the Coulomb repulsion intensity with a quadratic law. In the strong-repulsion regime we derive the effective HOTSC Hamiltonian in the atomic representation and found a rich variety of interactions induced by virtual processes between the lower and upper Hubbard subbands. It is shown that Majorana corner modes still can be realized in the limit of the infinite repulsion, although the boundaries of the topologically nontrivial phase are strongly renormalized by Hubbard corrections.
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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Effect of magnetic field orientation and disorder on Majorana polarization in wires with topological superconductivity
Место публикации : Low Temp. Phys: American Institute of Physics, 2017. - Vol. 43, Is. 4. - P.437-441. - ISSN 1063777X (ISSN), DOI 10.1063/1.4983331
Примечания : Cited References: 20. - This work was supported by the Complex program of the Siberian Branch of the Russian Academy of Sciences Grant No. 0358-2015-0007, the Russian Foundation for Basic Research, the government of Krasnoyarsk region, and the Krasnoyarsk region foundation for support of scientific and technical activity (Grant Nos. 15-42-04372, 16-02-00073, and 16-42-242036).
Аннотация: Majorana polarization, previously introduced by Sticlet et al. [Phys. Rev. Lett. 108, 096802 (2012)], is studied for wires in a topological superconductive state with varying orientation of the magnetic field. Numerical calculations show that in the case of a canted field, this polarization can differ in sign, as well as absolute magnitude, at the opposite ends of a wire. Since the Majorana polarization changes sign at one end when the orientation of the magnetic field is changed from perpendicular to longitudinal, there is always a range of angles for which this quantity is significantly suppressed or equals zero. Thus, the Majorana polarization does not always appear as a local order parameter for an arbitrary angle of the magnetic field in the plane perpendicular to the effective Rashba spin-orbital interaction field. It is shown that the introduction of disorder does not lead to qualitatively new effects. At the same time, additional regions with weak Majorana polarization do show up in high magnetic fields. © 2017 Author(s).
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9.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Ulanov E. A.
Заглавие : Effect of multiple scattering on the quantum transport of electrons through a magnetic impurity with a single-ion anisotropy : abstract
Коллективы : "Functional Materials", International Conference , Taurida National V. I. Vernadsky University
Место публикации : Functional materials: Abstracts/ ed. V. N. Berzhansky. - Simferopol, 2013. - Ст.BP2-1P/2. - P. - ISBN 978-966-491-465-6
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10.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Ulanov E. A.
Заглавие : Effect of multiple scattering on the quantum transport of electrons through a magnetic impurity with a single-ion anisotropy : abstract
Коллективы : Российская академия наук, Физико-технический институт им. А.Ф. Иоффе РАН, "Spin Waves", International Symposium
Место публикации : Spin Waves 2013, Int. Symp.: Program. Abstracts. - СПб., 2013. - P.75. - ISBN 978-5-91918-334-1
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11.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Effect of spin-flip processes on the Josephson current through a layer containing spin dimers
Коллективы : "Spin physics, spin chemistry, and spin technology", Internnational conference, Физико-технический институт им. А.Ф. Иоффе РАН, Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН, "Инно-мир", центр межрегионального инновационного развития
Место публикации : Int. conf. "Spin physics, spin chem., and spin technol.". - 2015. - P.44
Примечания : Библиогр.: 3 назв.
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S., Aksenov S. V.
Заглавие : Effect of strong intersite Coulomb interaction on the topological properties of a superconducting nanowire
Место публикации : Phys. Solid State. - 2022. - Vol. 64, Is. 13. - P.2047-2053. - ISSN 10637834 (ISSN), DOI 10.21883/PSS.2022.13.53972.23s. - ISSN 10906460 (eISSN)
Примечания : Cited References: 55. - This study was supported by the Russian Foundation for Basic Research, the Government of the Krasnoyarsk Territory and the Krasnoyarsk Regional Fund of Science, projects nos. 20-42-243001 and 20-42-243005. M.S.S. thanks the Foundation for the Advancement of Theoretical Physics and Mathematics ”BASIS“. S.V.A. is grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, project No. MK-1641.2020.2
Аннотация: For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This problem is investigated on the basis of the density matrix renormalization group numerical method. It is shown that with an increase in the repulsion intensity of electrons located at the neighboring sites, two subbands emerge in the lower Hubbard band of the open system. Based on calculations of the Majorana polarization and degeneracy of the entanglement spectrum, it was found that a topologically nontrivial phase with one edge state survives at the edge of each of the subbands where the concentration of electrons or holes is minimal.
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13.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effect of weak hubbard repulsion on spectrum and transport in higher-order topological superconductor
Коллективы : Российская академия наук, Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН, Казанский (Приволжский) федеральный университет, Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : VIII Euro-Asian symposium "Trends in magnetism" (EASTMAG-2022): Book of abstracts/ program com. S. G. Ovchinnikov [et al.]. - 2022. - Vol. 2, Sect. I: Magnetism and superconductivity. - Ст.I.P1. - P.153-154. - ISBN 978-5-94469-051-7
Примечания : Cited References: 5. - The study was supported by Russian Science Foundation, project 22-22-20076
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14.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Aksenov S. V., Fedoseev A. D., Shustin M. S., Zlotnikov A. O.
Заглавие : Effective interactions in higher-order topological superconductors with strong electron correlations
Коллективы : Российская академия наук, Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН, Казанский (Приволжский) федеральный университет, Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : VIII Euro-Asian symposium "Trends in magnetism" (EASTMAG-2022): Book of abstracts/ program com. S. G. Ovchinnikov [et al.]. - 2022. - Vol. 2, Sect. I: Magnetism and superconductivity. - Ст.I.P7. - P.164-165. - ISBN 978-5-94469-051-7
Примечания : Cited References: 7. - The study was supported by Russian Science Foundation, project 22-22-20076
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kagan, M. Yu., Val'kov V. V., Aksenov S. V.
Заглавие : Effects of anisotropy and Coulomb interactions on quantum transport in a quadruple quantum-dot structure
Место публикации : Phys. Rev. B: American Physical Society, 2017. - Vol. 95, Is. 3. - Ст.035411. - ISSN 2469-9950, DOI 10.1103/PhysRevB.95.035411. - ISSN 2469-9969(eISSN)
Примечания : Cited References:62. - We acknowledge fruitful discussions with P. I. Arseyev, N. S. Maslova, V. N. Mantsevich, and R. Sh. Ikhsanov. This work was financially supported by the Comprehensive programme SB RAS No. 0358-2015-0007, the RFBR, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund, Projects No. 15-02-03082, No. 15-42-04372, No. 16-42-243056, and No. 16-42-242036. M. Yu. K. thanks the Program of Basic Research of the National Research University Higher School of Economics for support.
Предметные рубрики: 2-BAND HUBBARD-MODEL
ONE NARROW-BAND
ANOMALOUS RESISTIVITY
Аннотация: We present an analytical and numerical investigation of the spectral and transport properties of a quadruple quantum-dot (QQD) structure which is one of the popular low-dimensional systems in the context of fundamental quantum physics study, future electronic applications, and quantum calculations. The density of states, occupation numbers, and conductance of the structure were analyzed using the nonequilibrium Green's functions in the tight-binding approach and the equation-of-motion method. In particular the anisotropy of hopping integrals and on-site electron energies as well as the effects of the finite intra- and interdot Coulomb interactions were investigated. It was found out that the anisotropy of the kinetic processes in the system leads to the Fano-Feshbach asymmetrical peak. We demonstrated that the conductance of the QQD device has a wide insulating band with steep edges separating triple-peak structures if the intradot Coulomb interactions are taken into account. The interdot Coulomb correlations between the central QDs result in the broadening of this band and the occurrence of an additional band with low conductance due to the Fano antiresonances. It was shown that in this case the conductance of the anisotropic QQD device can be dramatically changed by tuning the anisotropy of on-site electron energies.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Effects of inelastic spin-dependent electron transport through a spin nanostructure in a magnetic field
Место публикации : J. Exp. Theor. Phys.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2011. - Vol. 113, Is. 2. - P266-275. - ISSN 1063-7761, DOI 10.1134/S1063776111060070
Примечания : Cited References: 30. - This study was carried out under the program of the Physical Science Department of the Russian Academy of Sciences, Federal Target Program "Scientific and Scientific-Pedagogical Personnel of Innovative Russia in 2009-2013," Interdisciplinary Integration project no. 53 of the Siberian Branch of the Russian Academy of Sciences, and under partial support from the Russian Foundation for Basic Research (project no. 09-02-00127). The research work of one of the authors (S.V.A) was supported by grant no. MK-1300.2011.2 from the President of the Russian Federation.
Предметные рубрики: CONDUCTION
ANISOTROPY
JUNCTIONS
Ключевые слова (''Своб.индексиров.''): antiferromagnetic coupling--colossal magnetoresistance effect--iv characteristics--metallic contacts--potential profiles--spectral characteristics--spin dependent transport--spin dimer--spin moments--spin-dependent electron transport--spin-flip process--tight-binding approximations--transmission coefficients--antiferromagnetism--colossal magnetoresistance--current voltage characteristics--electric resistance--nanostructures--transport properties--magnetic field effects
Аннотация: The transport properties and current-voltage (I-V) characteristics of a system of spin dimers with antiferromagnetic coupling arranged between metallic contacts are investigated in the tight binding approximation using the Landauer-Buttiker formalism. It is shown that the s-d(f) exchange interaction between the spin moments of the electrons being transported and the spins of the nanostructure leads to the formation of a potential profile as well as its variation due to spin-flip processes. As a result, the spin-dependent transport becomes inelastic, and the transmission coefficient and the I-V characteristic are strongly modified. It is found that the application of a magnetic field induces additional transparency peaks in the spectral characteristic of the system and causes the colossal magnetoresistance effect.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V., Ulanov E. A.
Заглавие : Effects of multiple reflection in the process of inelastic electron transport through an anisotropic magnetic atom
Коллективы : Presidium of the Russian Academy of Sciences; Ministry of Education and Science of Russian Federation [16.740.11.0644]; Russian Foundation for Basic Research [12-02-31130, 13-02-00523, 13-02-98013]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools [MK-526.2013.2, SP-6361.2013.5]
Место публикации : JETP Letters. - 2013. - Vol. 98, Is. 7. - P.403-409. - ISSN 0021-3640, DOI 10.1134/S0021364013200162
Примечания : Cited References: 27. - This work was supported by the Presidium of the Russian Academy of Sciences (program "Quantum Mesoscopic and Disordered Systems"), the Ministry of Education and Science of Russian Federation (state contract no. 16.740.11.0644, federal program "Human Capital for Science and Education in Innovative Russia" for 2009-2013), and the Russian Foundation for Basic Research (project nos. 12-02-31130, 13-02-00523, and 13-02-98013). S. V. A. is grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, project nos. MK-526.2013.2 and SP-6361.2013.5.
Предметные рубрики: QUANTUM
SPECTROSCOPY
STATE
Аннотация: The effect of multiple reflection in the process of electron transport on the current-voltage characteristics of an adsorbed magnetic atom with single-ion anisotropy has been investigated. All orders of the perturbation theory with respect to the parameter of coupling between the contacts and the multilevel impurity have been taken into account by the Keldysh diagram technique with the use of Hubbard operators. It has been shown that the current-voltage characteristics of the system in a strongly nonequilibrium regime contains regions of negative differential conductance. The ways of enhancing this effect are discussed.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Electron transport through Josephson junction containing a dimeric structure
Место публикации : J. Low Temp. Phys.: Springer, 2016. - Vol. 185, Is. 5-6. - P.446-452. - ISSN 00222291 (ISSN), DOI 10.1007/s10909-016-1545-5
Примечания : Cited References: 23. - This study was supported by the Presidium of the Russian Academy of Sciences, Program "Actual problems of low temperature physics”; the Russian Foundation for Basic Research, Projects Nos. 13-02-00523, 14-02-31280, and 15-42-04372; and the Scholarship of the President of the Russian Federation No. SP-6361.2013.5
Ключевые слова (''Своб.индексиров.''): josephson junction--andreev reflection--spin-flip processes--spin dimer
Аннотация: The dc Josephson effect in a superconductor/dimeric molecule/superconductor junction has been investigated by means of the nonequilibrium Green’s function method and the Keldysh diagram technique. The application of the atomic representation has allowed to simplify considerably the computation of the supercurrent and occupation numbers and receive the general expressions which take into account all processes of the Andreev reflection in the loopless approach. It is significant that the expressions for the current and occupation numbers are valid for different multilevel structures in the Josephson junction. The sf-exchange interaction between the electron spin and the spins of the dimer leads to the suppression of the critical current due to a new set of Andreev bound states. © 2016, Springer Science+Business Media New York.
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Aksenov S. V.
Заглавие : Electronic spin polarization in the Majorana bound state in one-dimensional wires
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : J. Magn. Magn. Mater.: Elsevier, 2017. - Vol. 440. - P.112-115. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2016.10.155
Примечания : Cited References: 22. - This work was financially supported by the Comprehensive programme SB RAS no. 0358-2015-0007, and the RFBR, projects nos. 15-42-04372, 16-02-00073, 16-42-242036 and partly by Government of Krasnoyarsk Region.
Предметные рубрики: NON-ABELIAN STATISTICS
FERMIONS
Ключевые слова (''Своб.индексиров.''): majorana bound state--topological superconductivity--spin polarization
Аннотация: We have studied the effect of magnetic field and disorder on the electronic z-spin polarization at the ends of the one-dimensional wire with strong Rashba spin-orbit coupling deposited on an s-wave superconductor. It was shown that in the topologically nontrivial phase the polarization as well as the energy of the Majorana bound state oscillate as a function of the magnetic field. Despite being substantially nonzero in the low transversal and longitudinal fields the polarization at one of the wire's ends is significantly suppressed at a certain range of the magnitudes and angles of the canted magnetic field. Thus, in this case the polarization cannot be regarded as a local order parameter. However, the sum of the absolute values of the polarization at both ends remains significantly nonzero. It was demonstrated that Anderson disorder doesn't seriously affect observed properties but leads to the appearance of the additional areas with weak spin polarization at the high magnetic fields.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Kagan, M. Yu, Aksenov S. V.
Заглавие : Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
Коллективы : RAS Presidium program for fundamental research [32]; Russian Foundation for Basic Research [16-02-00073, 17-02-00135, 18-32-00443]; Government of Krasnoyarsk Territory; Krasnoyarsk Regional Fund of Science [17-42-240441, 18-42-243017]; Russian Federation [MK-3722.2018.2]; Program of Basic Research of the National Research University Higher School of Economics
Место публикации : J. Phys.: Condens. Matter. - 2019. - Vol. 31, Is. 22. - Ст.225301. - ISSN 0953-8984, DOI 10.1088/1361-648X/ab0b8c. - ISSN 1361-648X(eISSN)
Примечания : Cited References: 69. - The reported study was funded by the RAS Presidium program for fundamental research No. 32 'Nanostructures: physics, chemistry, biology and technology fundamentals', Russian Foundation for Basic Research (projects Nos. 16-02-00073, 17-02-00135, 18-32-00443), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: 'Majorana bound fermions in the nanomaterials with strong electron correlations and quantum electron transport in the devices containing these materials' (No. 17-42-240441), 'The manifestation of Coulomb interactions and effects of bounded geometry in the properties of topological edge states of nanostructures with spin-orbit interaction' (No. 18-42-243017). SA is grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, project No. MK-3722.2018.2. MYK thanks the Program of Basic Research of the National Research University Higher School of Economics for support.
Ключевые слова (''Своб.индексиров.''): topological superconductivity--majorana bound state--andreev bound state--aharonov-bohm ring
Аннотация: Taking into account an inner structure of the arms of the Aharonov-Bohm ring (AB ring) we have analyzed the transport features related to the topological phase transition which is induced in a superconducting wire (SC wire) with strong spin-orbit interaction (SOI). The SC wire acts as a bridge connecting the arms. The in-plane magnetic-field dependence of linear-response conductance obtained using the nonequilibrium Green's functions in the tight-binding approximation revealed the Breit-Wigner and Fano resonances (FRs) if the wire is in the nontrivial phase. The effect is explained by the presence of two interacting transport channels in the system. As a result, the FRs are attributed to bound states in continuum (BSCs). The BSC lifetime is determined by both hopping parameters between subsystems and the SC-wire properties. It is established that the FR width and position are extremely sensitive to the type of the lowest-energy excitation in the SC wire, the Majorana or Andreev bound state (MBS or ABS, respectively). Moreover, it is shown that in the specific case of the AB ring, the T-shape geometry, the FR disappears for the transport via the MBS and the conductance is equal to one quantum. It doubles in the local transport regime. On the contrary, in the ABS case the local conductance vanishes. The influence of the mean-field Coulomb interactions and diagonal disorder in the SC wire on the FR is investigated.
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