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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
Коллективы : RAS Presidium programs for fundamental research [32, 12]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-32-00443, 19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42-240011]; Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-1641.2020.2, MK-3594.2018.2]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" [18-46-007]
Место публикации : Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст.125431. - ISSN 2469-9950, DOI 10.1103/PhysRevB.101.125431. - ISSN 2469-9969(eISSN)
Примечания : Cited References: 60. - We acknowledge fruitful discussions with V. V. Valkov and V. A. Mitskan. The reported study was funded by the RAS Presidium programs for fundamental research Nos. 12 and 32, Russian Foundation for Basic Research (Projects No. 18-32-00443 and No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project: "Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology" (Grant No. 19-42-240011). S.V.A. and A.O.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, Projects No. MK-1641.2020.2 and No. MK-3594.2018.2. S.V.A. acknowledges the support from the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" (Grant No. 18-46-007).
Предметные рубрики: QUANTUM
POLARIZATION
TRANSITION
FERMIONS
SPECTRUM
STATE
Аннотация: In this study, the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To analyze properties of edge states in the BDI-class structure, a quantity called Majorana polarization is used. From its dependence on wire length and an entanglement-spectrum degeneracy, topological phase diagrams are obtained. The DMRG calculations for the Shubin-Vonsovsky-type model of the wire show the transformation of phases with Majorana single and double modes (MSMs and MDMs, respectively) under the increase of onsite and intersite correlations. In particular, we demonstrate different scenarios including the possibilities of both induction and suppression of the MSMs and MDMs. It is shown that in the strongly correlated regime, the contributions of single-particle excitations to the Majorana-type states significantly decrease at low magnetic fxields. Moreover, the t-J*-V model is derived allowing to study the effective interactions and improve the DMRG numerics. It is found out that in the limiting case of the effective Hamiltonian with infinitely strong onsite repulsion, t model, the topological phases are destroyed. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aksenov S. V., Zlotnikov A. O., Shustin M. S.
Заглавие : Majorana modes in BDI-class wire with strong Coulomb correlations [Electronic resource]
Место публикации : ArXiv. - 2019. - Ст.1911.01035
Вид и объем ресурса: Electronic text data
Примечания : Cited References: 55. - We acknowledge fruitful discussions with V.V. Valkov and V.A. Mitskan. The reported study was funded by the RAS Presidium programs for fundamental research Nos. 12 and 32, Russian Foundation for Basic Research (projects Nos. 18-32-00443, 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research projects: ”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), ”Coulomb interactions in the problem of Majorana modes in low-dimensional systems with nontrivial topology” (No. 19-42-240011). S.A. and A.Z. are grateful to the Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools, projects Nos. MK-3722.2018.2, MK-3594.2018.2.
Предметные рубрики: Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Superconductivity
Аннотация: In this study the problem of strong Coulomb interactions in topological superconducting wire is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To obtain the topological phase diagrams and analyze properties of edge states in the BDI-class structure the quantity called Majorana polarization is used. Its behavior agrees with the entanglement-spectrum degeneracy which has topological nature. The DMRG calculations for the Shubin-Vonsovsky-type model of the wire show the transformation of phases with Majorana single and double modes (MSMs and MDMs, respectively) under the increase of on- and inter-site correlations. In particular, the effects of MSM and MDM robustness as well as their induction are observed. It is shown that in the strongly correlated regime the contributions of single-particle excitations to the Majorana-type states significantly decrease if averaged on-site spin-dependent concentrations have comparable values. Moreover, the t−J∗−V-model is derived allowing to study the effective interactions and improve the DMRG numerics. In order to demonstrate the key role of spin and charge fluctuations in the revealed effects we analytically consider the limiting case of the effective Hamiltonian with infinitely strong on-site repulsion using the Hubbard-I approximation. Finally, the ways to probe the MSMs and MDMs via the features of caloric functions are discussed.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Вальков, Валерий Владимирович, Федосеев, Александр Дмитриевич
Заглавие : Квантовый транспорт через одномерную цепочку, согнутую в форме квадрата, при учете спин-орбитального взаимодействия Рашбы
Коллективы : Южный федеральный университет, "Порядок, беспорядок и свойства оксидов", международный междисциплинарный симпозиум, "Order, Disorder and Properties of Oxides", International meeting
Место публикации : 20-й Междунар. симп. "Порядок, беспорядок и свойства оксидов" (ODPO-20): труды симпозиума. - 2017. - Вып. 20, Т. 1. - С. 30-34
Примечания : Библиогр.: 5 назв.
Аннотация: В приближении сильной связи при использовании формализма Ландауэра-Бюттикера исследованы транспортные свойства одномерной цепочки, согнутой в форме квадрата при учете спин-орбитального взаимодействия Рашбы. Обнаружено, что такая геометрия устройства, приводит к возникновению антирезонансов Фано. Показано, что при критической величине спин-орбитального взаимодействия, когда характеристическая длина, связанная с величиной спин-орбитального взаимодействия, совпадает с длиной стороны квадрата, возникает полное отражение от устройства. При величине параметра спин-орбитального взаимодействия близкого к критическому значению прохождение электрона возможно только при энергиях, находящихся в пределах узких интервалов.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Avramov P. V., Minami S., Morokuma K., Irle S., Chernozatonskii L.A.
Заглавие : Atomic Structure and Energetic Stability of Complex Chiral Silicon Nanowires
Место публикации : J. Phys. Chem. C. - 2010. - Vol. 114, Is. 35. - P.14692-14696. - SEP 9. - ISSN 1932-7447, DOI 10.1021/jp1016399
Примечания : Cited Reference Count: 36. - Гранты: This work was supported by a CREST (Core Research for Evolutional Science and Technology) grant in the Area of High Performance Computing for Multiscale and Multiphysics Phenomena from the Japan Science and Technology Agency (JST) and a collaborative RFBR-JSPS grant No. 09-02-92107-Phi. S.I. also acknowledges support by the Program for Improvement of Research Environment for Young Researchers from Special Coordination Funds for Promoting Science and Technology (SCF) commissioned by the Ministry of Education, Culture, Sports, Science, and Technology (MEXT) of Japan. L.Ch. acknowledges support by the Presidium of Russian Academy of Sciences (Program No. 27).Финансирующая организация: CREST (Core Research for Evolutional Science and Technology); Japan Science and Technology Agency (JST); RFBR-JSPS [09-02-92107]; Special Coordination Funds for Promoting Science and Technology (SCF); Presidium of Russian Academy of Sciences [27]
Предметные рубрики: DENSITY-FUNCTIONAL METHODS
GROWTH
EXCHANGE
NANOHELICES
NANOSPRINGS
Ключевые слова (''Своб.индексиров.''): ab initio--atomic structure--chiral complexes--consecutive shifts--dft method--energetic stability--homo-lumo gaps--metastable structures--potential barriers--si atoms--silicon nanowires--unit cell parameters--atoms--chirality--electronic structure--enantiomers--metastable phases--nanowires--stereochemistry--wire--crystal atomic structure
Аннотация: Atomic and electronic structure and energetic stability of newly proposed pentagonal and hexagonal chiral complex silicon nanowires (NWs) composed of five or six (I 10) oriented crystalline fragments were studied using the ab initio DFT method. The chirality of the wires was caused by consecutive shifts of each fragment by 1/5 or 1/6 of the wire unit cell parameter and rotations of 4 degrees and 3.3 degrees for achiral pentagonal or hexagonal wires, respectively. Chirality causes the HOMO-LUMO gap to reduce by 0.1 eV. Chiral silicon nanowires are found to be metastable structures with a 4,5 (kcal/mol)/Si atom potential barrier for reversible chiral achiral transformation.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sorokin P. B., Ovchinnikov S. G., Avramov P. V., Chernozatonskii L.A., Fedorov D.G.
Заглавие : Atypical quantum confinement effect in silicon nanowires
Место публикации : J. Phys. Chem. A. - WASHINGTON: AMER CHEMICAL SOC, 2008. - Vol. 112, Is. 40. - С. 9955-9964. - OCT 9. - ISSN 1089-5639, DOI 10.1021/jp805069b
Примечания : Cited Reference Count: 25. - Гранты: This work was in part partially supported by a CREST (Core Research for Evolutional Science and Technology) grant in the Area of High Performance Computing for Multiscale and Multiphysics Phenomena from the Japan Science and Technology Agency (JST) as well as by Russian Fund of Basic Researches (grant 08-02-01096) (L.A.C.). P.V.A. acknowledges the encouragement of Dr. Keiji Morokuma, Research Leader at Fukui Institute for Fundamental Chemistry. The geometry of all presented structures was visualized by ChemCraft software.SUP25/SUP L.A.C. acknowledges I. V. Stankevich for help and fruitful discussions. P.B.S. is grateful to the Joint Supercomputer Center of the Russian Academy of Sciences for access to a cluster computer for quantum-chemical calculations.Финансирующая организация: Japan Science and Technology Agency (JST); Russian Fund of Basic Researches [08-02-01096]
Предметные рубрики: ELECTRONIC-STRUCTURE
OPTICAL-PROPERTIES
SI
DENSITY
WIRES
EXCHANGE
ATOMS
DOTS
Ключевые слова (''Своб.индексиров.''): electric wire--energy gap--gallium alloys--mathematical models--nanostructured materials--nanostructures--nanowires--quantum confinement--quantum electronics--semiconductor quantum dots--silicon--ami methods--band gaps--blue shifts--dinger equations--linear junctions--monotonic decreases--quantum confinement effects--quantum dots--semiempirical--silicon nanowires--system sizes--theoretical models--nanocrystalline silicon--nanowire--quantum dot--silicon--article--chemistry--electron--quantum theory--electrons--nanowires--quantum dots--quantum theory--silicon
Аннотация: The quantum confinement effect (QCE) of linear junctions of silicon icosahedral quantum dots (IQD) and pentagonal nanowires (PNW) was studied using DFT and semiempirical AM1 methods. The formation of complex IQD/PNW structures leads to the localization of the HOMO and LUMO on different parts of the system and to a pronounced blue shift of the band gap; the typical QCE with a monotonic decrease of the band gap upon the system size breaks down. A simple one-electron one-dimensional Schrodinger equation model is proposed for the description and explanation of the unconventional quantum confinement behavior of silicon IQD/PNW systems. On the basis of the theoretical models, the experimentally discovered deviations from the typical QCE for nanocrystalline silicon are explained.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shustin M. S.
Заглавие : Stable Majorana modes in spin-polarized wire with strong interactions
Место публикации : J. Supercond. Novel Magn. - 2022. - Vol. 35, Is. 8: The Kourovka Winter School of Theoretical Physics. - P.2209-2216. - ISSN 15571939 (ISSN), DOI 10.1007/s10948-022-06238-0
Примечания : Cited References: 42. - The study was funded by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (Grant No. 20-1-4-25-1); Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Project No. 20-42-243001); and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Grant No. MK-4687.2022.1)
Аннотация: For the 1D Hubbard model with spin-orbit coupling and proximity-induced s-wave superconductivity, the damping rates of quasiparticles are studied in the framework of density-matrix renormalization group (DMRG) approach. It is shown that low-energy excitations belonging to the Hubbard bands are stable against strong electron interaction at the spin-polarized regime. In order to confirm this result analytically, the low-energy model of the strongly interacting spin-polarized nanowire was derived in the second order of perturbation theory. This model generalizes Kitaev chain, taking into account the hoppings and anomalous pairings in the secondary coordination spheres as well as terms describing charge correlations. The amplitudes of the latter ones are small, and the system can be effectively described by quadratic Hamiltonian supporting stable Majorana excitations, which confirms numerical calculations. The topological phase diagram of effective model is studied in the framework of mean-field approximation. The evolution of topological phase boundaries under increasing of charge correlations is studied, and the important role of the joint realization of different types of interactions is noted. The results obtained can be applied when describing the Al-EuS-InAs hybrid system, recently synthesized and studied in searching for Majorana bound states.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sorokin P.B., Kvashnin D.G., Kvashnin A.G., Avramov P. V., Chernozatonskii L.A.
Заглавие : Theoretical study of elastic properties of SiC nanowires of different shapes
Место публикации : J. Nanosci. Nanotechnol. - 2010. - Vol. 10, Is. 8. - P.4992-4997. - ISSN 1533-4880, DOI 10.1166/jnn.2010.2424. - ISSN 1533-4899
Примечания : Cited Reference Count: 49. - Гранты: This work was partially supported by JSPS-RFBR collaborative grant 09-02-92107. The electronic structure calculations have been performed on the Joint Supercomputer Centre of the Russian Academy of Sciences. One of the authors (Pavel V. Avramov) acknowledges the encouragement of Professor K. Morokuma, research leader of Fukui Institute, Kyoto University and Dr. Alister Page for kind help and support. The geometry of all structures was visualized by ChemCraft software.SUP53/SUPФинансирующая организация: JSPS-RFBR [09-02-92107]; Fukui Institute, Kyoto University
Предметные рубрики: INITIO MOLECULAR-DYNAMICS
SILICON-CARBIDE
THERMAL-STABILITY
CARBON NANOTUBES
NANORODS
GROWTH
SURFACES
NANOCRYSTALS
POTENTIALS
CONSTANTS
Ключевые слова (''Своб.индексиров.''): silicon carbide--nanowires--elastic properties--dft--molecular mechanics--dft--elastic properties--molecular mechanics--nanowires--silicon carbide--atomic structure--cubic phasis--dft--effective size--elastic properties--sic nanowire--silicon carbide nanowires--theoretical study--wire geometries--young's modulus--crystal atomic structure--density functional theory--elastic moduli--elasticity--molecular mechanics--nanowires--wire--silicon carbide
Аннотация: The atomic structure and elastic properties of silicon carbide nanowires of different shapes and effective sizes were studied using density functional theory and classical molecular mechanics. Upon surface relaxation, surface reconstruction led to the splitting of the wire geometry, forming both hexagonal (surface) and cubic phases (bulk). The behavior of the pristine SiC wires under compression and stretching was studied and Young's moduli were obtained. For Y-shaped SiC nanowires the effective Young's moduli and behavior in inelastic regime were elucidated.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Fedoseev A. D.
Заглавие : The nonuniform spin polarization in the square-shaped 1D wire induced by spin-orbit coupling
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. - P.185-188. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2016.12.080
Примечания : Cited References: 9. - The reported study was funded by Russian Foundation for Basic Research project nos. 16-42-242036, 16-42-243056, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund to the research project nos. 21/16, 29/16.
Ключевые слова (''Своб.индексиров.''): spin polarization--rashba spin-orbit coupling
Аннотация: It is shown, that the Rashba spin-orbit coupling induces the spatially nonuniform spin state in the square-shaped 1D wire. The electron states of this type are characterized with spin orientation changing according to the harmonic motion along the square side. The period of the oscillation is determined only by the spin-orbital coupling and the hopping parameters ratio. The modulation of spin orientation is caused by step-like changing of Rashba field direction. The obtained results were generalized on the case of polygon-shaped wire.Показано, что спин-орбитальное взаимодействие Рашбы индуцирует пространственно неоднородное спиновое состояние в 1D цепочке формы квадрата. Такие электронные состояния характеризуются изменением ориентации спина по гармоническому закону вдоль стороны квадрата. Период осцилляций определяется только отношением параметров перескока и спин-орбитального взаимодействия. Модуляция спиновой ориентации вызвана скачкообразным изменением направления поля Рашбы. Проведено обобщение полученных результатов на случай цепочке формы правильного многоугольника.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Pilipchuk A. S.
Заглавие : Bound states in the continuum in zigzag quantum wire enforced by a finger gate
Коллективы : Russian Foundation for Basic Research [14-12-00266]
Место публикации : JETP Letters. - 2015. - Vol. 100, Is. 9. - P.585-590. - ISSN 0021, DOI 10.1134/S0021364014210139. - ISSN 10906487(eISSN)
Примечания : Cited References:41. - This work was supported by the Russian Foundation for Basic Research(project no. 14-12-00266).
Предметные рубрики: WAVE-GUIDE
DOUBLE-BEND
SYSTEMS
TRANSMISSION
RESONANCES
ELECTRON
Аннотация: We consider electron transport in a zigzag quantum wire by the effect of finger gate potential. Using a non-Hermitian effective Hamiltonian, we calculate resonance positions and widths to show that the resonance widths are easily governed by the gate potential. In particular, the resonance width can be enforced to be equal to zero, which leads to an electron localization with the Fermi energy embedded in the propagation band of the wire, i.e., the bound state in the continuum (BSC). We show that, for positive values of the potential, a zigzag wire becomes a Fabry-Perot resonator to give rise to BSC too.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ushakov A. V., Karpov I. V., Lepeshev A. A., Petrov M. I., Fedorov L. Y.
Заглавие : Study of magnetic flux pinning in granular YBa2Cu3O7-y / nanoZrO2 composites
Коллективы : Ministry of Education and Sciences of the Russian Federation [7.4484.2011]
Место публикации : JETP Letters. - 2014. - Vol. 99, Is. 2. - P.99-103. - ISSN 0021-3640, DOI 10.1134/S002136401402009X. - ISSN 1090-6487
Примечания : Cited References: 15. - This work was supported in part by the Ministry of Education and Sciences of the Russian Federation (project no. 7.4484.2011).
Предметные рубрики: TEMPERATURE SUPERCONDUCTING WIRE
CRITICAL-CURRENT-DENSITY
FILMS
Аннотация: IIn this work, the effect of ZrO2 nanoparticles prepared in a low-pressure arc discharge plasma on magnetic flux pinning of granular YBa2Cu3O7-y /nanoZrO2 composites has been studied. It has been shown that the ZrO2 nanoparticles do not change the superconducting transition and the microstructure of superconductors. At a temperature of 5 K, the addition of 0.5 and 1 wt % of ZrO2 nanoparticles may lead to the additional effect of magnetic flux pinning and the increase in the critical current density J c. The J c value for composites with 1 wt % is two times larger than that for the reference sample. The fishtail effect is observed for YBa2Cu3O7-y /nanoZrO2 composites at the temperatures of 20 and 50 K. The problems associated with the additional effect of magnetic flux pinning of granular YBa2Cu3O7-y /nanoZrO2 composites and the appearance of the fishtail effect have been discussed.
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