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1.


    Aksenov, S. V.
    Majorana modes in BDI-class wire with strong Coulomb correlations / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin. - Electronic text data // ArXiv. - 2019. - Ст. 1911.01035. - 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.
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович
}
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2.


    Aksenov, S. V.
    Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI / S. V. Aksenov, A. O. Zlotnikov, M. S. Shustin // Phys. Rev. B. - 2020. - Vol. 101, Is. 12. - Ст. 125431, DOI 10.1103/PhysRevB.101.125431. - 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). . - ISSN 2469-9950. - ISSN 2469-9969
РУБ Materials Science, Multidisciplinary + Physics, Applied + Physics, Condensed Matter
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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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Аксенов, Сергей Владимирович; 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]
}
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3.


   
    Coulomb repulsion of holes and competition between dx2−y2 -wave and s-wave parings in cuprate superconductors / V. V. Val'kov [et al.] // J. Exp. Theor. Phys. - 2017. - Vol. 125, Is. 5. - P. 810-821, DOI 10.1134/S1063776117110085. - Cited References: 51. - This work was supported by the Russian Foundation for Basic Research, the Government of Kras-noyarsk Region, the Krasnoyarsk Region Science and Technology Support Fund (project nos. 16-42-240435, 16-42-243056, and 16-42-243057), and the Program by the Siberian Branch, Russian Academy of Sciences (project no. 356-2015-0406). The work of A.F.B. was supported by the Russian Foundation for Basic Research (project no. 16-02-00304). The work of M.M.K. was supported by the Council for Grants of the President of the Russian Federation (MK-1398.2017.2). . - ISSN 1063-7761
Кл.слова (ненормированные):
Cooper instability -- Coulomb repulsions -- Crystallographic structure -- Inter-site coulomb interactions -- Order parameter symmetry -- Quasiparticles -- Self-consistency equations -- Super conducting phasis
Аннотация: The effect of the Coulomb repulsion of holes on the Cooper instability in an ensemble of spin–polaron quasiparticles has been analyzed, taking into account the peculiarities of the crystallographic structure of the CuO2 plane, which are associated with the presence of two oxygen ions and one copper ion in the unit cell, as well as the strong spin–fermion coupling. The investigation of the possibility of implementation of superconducting phases with d-wave and s-wave of the order parameter symmetry has shown that in the entire doping region only the d-wave pairing satisfies the self-consistency equations, while there is no solution for the s-wave pairing. This result completely corresponds to the experimental data on cuprate HTSC. It has been demonstrated analytically that the intersite Coulomb interaction does not affect the superconducting d-wave pairing, because its Fourier transform Vq does not appear in the kernel of the corresponding integral equation.

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Публикация на русском языке Кулоновское отталкивание дырок и конкуренция dx2-y2- и s-спариваний в купратных сверхпроводниках [Текст] / В. В. Вальков [и др.] // Журн. эксперим. и теор. физ. - 2017. - Т. 152 Вып. 5. - С. 957-969

Держатели документа:
Kirensky Institute of Physics, Federal Research Center “Krasnoyarsk Scientific Center,”, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation
Reshetnev Siberian State University of Science and Technologies, Krasnoyarsk, Russian Federation
Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences, Troitsk, Moscow, Russian Federation

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Dzebisashvili, D. M.; Дзебисашвили, Дмитрий Михайлович; Korovushkin, M. M.; Коровушкин, Максим Михайлович; Barabanov, A. F.
}
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4.


    Dzebisashvili, D. M.
    London penetration depth in the ensemble of spin polarons of cuprate superconductors / D. M. Dzebisashvili, K. K. Komarov // Eur. Phys. J. B. - 2018. - Vol. 91, Is. 11. - Ст. 278, DOI 10.1140/epjb/e2018-90266-6. - Cited References: 82. - We would like to thank V.V. Val'kov, A.F. Barabanov, and M.M. Korovushkin for helpful and stimulating discussions. The work was financially supported by the Russian Foundation for Basic Research (RFBR) (project no. 18-02-00837) and by the program of the Presidium of the Russian Academy of Sciences No. 12 "Fundamental problems of high-temperature superconductivity". The work of K. K. K. was supported by the grant of the President of the Russian Federation (project MK-1398.2017.2) and the RFBR and partly by the Government of Krasnoyarsk Region and the Krasnoyarsk Region Science and Technology Support Fund (project no. 18-42-243002). . - ISSN 1434-6028. - ISSN 1434-6036
РУБ Physics, Condensed Matter
Рубрики:
INTERSITE COULOMB REPULSION
   HIGH-TC SUPERCONDUCTIVITY

   NARROW

Кл.слова (ненормированные):
Solid State and Materials
Аннотация: Within the spin-polaron concept for hole-doped cuprates superconductors the temperature and doping dependence of the London penetration depth λ is studied. To calculate λ we developed a novel approach which (i) does not suppose the analytical expression for the quasiparticle spectrum to be known in advance, and (ii) allows to take into account the strong coupling between a spin localized on the copper ion and a hole residing on the four nearest oxygen ions rigorously. Within this approach the expression for supercurrent density j➝ is obtained in the long-wavelength limit for external magnetic field vector potential. It is shown that j➝ is mainly due to the spin-polaron quasiparticles rather then bare oxygen holes. Temperature dependence of λ−2 at various doping is calculated and compared with available experimental data. It is argued that the inflection point revealed experimentally in the temperature behavior of λ−2 in La1.83Sr0.17CuO4 may be considered as a manifestation of the spin-polaron nature of quasiparticles in cuprates.

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Держатели документа:
RAS, Kirensky Inst Phys, Fed Res Ctr, KSC,SB, Krasnoyarsk 660036, Russia.
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.

Доп.точки доступа:
Komarov, K. K.; Комаров, Константин Константинович; Дзебисашвили, Дмитрий Михайлович; Russian Foundation for Basic Research (RFBR) [18-02-00837]; Presidium of the Russian Academy of Sciences [12]; Russian Federation [MK-1398.2017.2]; RFBR; Government of Krasnoyarsk Region; Krasnoyarsk Region Science and Technology Support Fund [18-42-243002]
}
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5.


   
    Effect of local coulomb interaction on majorana corner modes / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // 8th International conference on supercondactivity and magnetism (ICSM2023) : abstract book. - 2023. - P. 454. - Cited References: 4. - РНФ № 22-22-20076

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Держатели документа:
Kirensky Institute of Physics, FRC KSC SB RAS

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Zlotnikov, A. O.; Злотников, Антон Олегович; International Conference on Supercondactivity and Magnetism(8 ; 2023 ; May 4-11 ; Ölüdeniz-Fethiye, Turkey)
}
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6.


   
    Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // Phys. Rev. B. - 2023. - Vol. 107, Is. 12. - Ст. 125401, DOI 10.1103/PhysRevB.107.125401. - 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 . - ISSN 2469-9950. - ISSN 2469-9969
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia

Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Zlotnikov, A. O.; Злотников, Антон Олегович
}
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7.


    Fedoseev, A. D.
    Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction / A. D. Fedoseev // J. Phys. Condens. Matter. - 2023. - Vol. 35, Is. 45. - Ст. 455301, DOI 10.1088/1361-648X/aceddf. - Cited References: 35. - The author thanks S V Aksenov and M M Korovushkin for the fruitful discussions and valuable remarks. The reported study was supported by Russian Science Foundation (Project No. 22-22-20076) and Krasnoyarsk Regional Fund of Science . - ISSN 0953-8984. - ISSN 1361-648X
Кл.слова (ненормированные):
topological insulator -- edge states -- strongly correlated systems -- 2D systems
Аннотация: The effect of Coulomb interaction on the 2D second order topological superconductor is investigated taking into account different geometries of the boundary in the mainframe of the mean-field approximation. The spontaneous symmetry breaking, described earlier in Aksenov et al (2023 Phys. Rev.B 107 125401), is found to be robust against the boundary deformation. Meanwhile, the details of the state with spontaneously broken symmetry is found to be dependent on the specific boundary geometry. Considering different types of the boundary of the 2D system, it is demonstrated that the deviation of the electron density in the broken symmetry state is determined by the position of the zero-dimensional (second-order) excitations with nearly zero energy. The critical value of the Coulomb interaction, at which the transition occurs, is found to be determined by the energy of these excitations, which is non-zero due to overlapping of the wave-functions at different corners.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Akademgorodok 50/38, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Федосеев, Александр Дмитриевич
}
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8.


    Fedoseev, A. D.
    Realization conditions and the magnetic field dependence of corner excitations in the topological insulator with superconducting coupling on the triangular lattice / A. D. Fedoseev // J. Exp. Theor. Phys. - 2021. - Vol. 133, Is. 1. - P. 71-76, DOI 10.1134/S1063776121060029. - 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) . - ISSN 1063-7761. - ISSN 1090-6509
РУБ Physics, Multidisciplinary
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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Публикация на русском языке Федосеев, Александр Дмитриевич. Условия реализации и магнитополевая зависимость угловых возбуждений в топологическом изоляторе со сверхпроводящим спариванием на треугольной решетке [Текст] / А. Д. Федосеев // Журн. эксперим. и теор. физ. - 2021. - Т. 160 Вып. 1. - С. 88-94

Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Федосеев, Александр Дмитриевич; 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]
}
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9.


    Fransson, J.
    Many-body approach to spin-dependent transport in quantum dot systems / J. . Fransson, O. . Eriksson, I. . Sandalov // Phys. Rev. Lett. - 2002. - Vol. 88, Is. 22. - Ст. 226601, DOI 10.1103/PhysRevLett.88.226601. - Cited References: 37 . - ISSN 0031-9007
РУБ Physics, Multidisciplinary
Рубрики:
SINGLE-ELECTRON TRANSISTOR
   COULOMB-BLOCKADE

   ANDERSON IMPURITY

   ROOM-TEMPERATURE

   TUNNEL-JUNCTIONS

   EVEN NUMBER

   MODEL

   MAGNETORESISTANCE

   OSCILLATIONS

   CONDUCTANCE

Аннотация: By means of a diagram technique for Hubbard operators, we show the existence of a spin-dependent renormalization of the localized levels in an interacting region, e.g., quantum dot, modeled by the Anderson Hamiltonian with two conduction bands. It is shown that the renormalization of the levels with a given spin direction is due to kinematic interactions with the conduction subbands of the opposite spin. The consequence of this dressing of the localized levels is a drastically decreased tunneling current for ferromagnetically ordered leads compared to that of paramagnetically ordered leads. Furthermore, the studied system shows a spin-dependent resonant tunneling behavior for ferromagnetically ordered leads.

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Держатели документа:
Univ Uppsala, Condensed Matter Theory Grp, S-75121 Uppsala, Sweden
RAS, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Eriksson, O.; Sandalov, I.
}
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10.


   
    Hybrid LDA and generalized tight-binding method for electronic structure calculations of strongly correlated electron systems / M. M. Korshunov [et al.] // Phys. Rev. B. - 2005. - Vol. 72, Is. 16. - Ст. 165104, DOI 10.1103/PhysRevB.72.165104. - Cited References: 82 . - ISSN 1098-0121
РУБ Physics, Condensed Matter
Рубрики:
T-J MODEL
   DENSITY-FUNCTIONAL CALCULATION

   NARROW ENERGY BANDS

   MEAN-FIELD THEORY

   COULOMB INTERACTIONS

   FERMION SYSTEMS

   COPPER OXIDES

   SUPERCONDUCTORS

   LA2-XSRXCUO4

   OXYGEN

Аннотация: A hybrid scheme for the electronic structure calculations of strongly correlated electron systems is proposed. The ab initio local density approximation calculation is used to construct the Wannier functions and obtain single electron and Coulomb parameters of the multiband Hubbard-type model. In strong correlation regime the electronic structure within multiband Hubbard model is calculated by the generalized tight-binding method, which combines the exact diagonalization of the model Hamiltonian for a small cluster (unit cell) with perturbation treatment of the intercluster hopping and interactions. For undoped La2CuO4 and Nd2CuO4 this scheme results in charge transfer insulators with correct values of gaps and dispersions of bands in agreement with the angle-resolved photoemission data.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Russian Acad Sci, Inst Met Phys, Ural Div, Ekaterinburg 620219, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Siberian Branch of Russian Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Institute of Metal Physics, Russian Academy of Sciences-Ural Division, 620219 Yekaterinburg GSP-170, Russian Federation

Доп.точки доступа:
Korshunov, M. M.; Коршунов, Максим Михайлович; Gavrichkov, V. A.; Гавричков, Владимир Александрович; Ovchinnikov, S. G.; Овчинников, Сергей Геннадьевич; Nekrasov, I. A.; Pchelkina, Z. V.; Anisimov, V. I.
}
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