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Anomalous resistivity and the electron-polaron effect in the two- band Hubbard model with one narrow band / Kagan M.Yu., Val'kov V.V. // arXiv. - 2011. - Ст. 1111.3135

Доп.точки доступа:
Kagan, M.Yu.; Val'kov, V. V.; Вальков, Валерий Владимирович
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Anomalous Resistivity and the Origin of Heavy Mass in the Two-Band Hubbard Model with One Narrow Band / M. Yu. Kagan, V. V. Val'kov // J. Exp. Theor. Phys. - 2011. - Vol. 113, Is. 1. - P156-171, DOI 10.1134/S1063776111060021. - Cited Reference Count: 87. - RFBRRussian Foundation for Basic Research (RFBR) [08-02-00224, 08-02-00212]; Leverhulme trustLeverhulme Trust; CNRSCentre National de la Recherche Scientifique (CNRS)European Commission [236694], We are grateful to A. S. Alexandrov, A. F. Andreev, A. F. Barabanov, M. A. Baranov, Yu. Bychkov, A. V. Chubukov, D. V. Efremov, P. Fulde, A. S. Hewson, Yu. Kagan, K. A. Kikoin, K. I. Kugel, F. V. Kusmartsev, M. Mezard, Yu. E. Lozovik, P. Nozieres, N. V. Prokof'ev, A. L. Rakhmanov, T. M. Rice, A. O. Sboychakov, G. V. Shlyapnikov, P. Thalmeyer, C. M. Varma, D. Vollhardt, P. Woelfle, and A. Yaresko for the numerous simulating discussions on this subject and acknowledge financial support of the RFBR grants nos. 08-02-00224, 08-02-00212. M. Yu. K. is also grateful to Loughborough University (UK) and LPTMS (Orsay, France) for the hospitality during the final stage of this work and acknowledges financial support from the Leverhulme trust and CNRS (contract no. 236694). . - JUL. - ISSN 1063-7761. - ISSN 1090-6509
Рубрики:
Physics, Multidisciplinary
Аннотация: We search for marginal Fermi-liquid behavior [1] in the two-band Hubbard model with one narrow band. We consider the limit of low electron densities in the bands and strong intraband and interband Hubbard interactions. We analyze the influence of electron polaron effect [2] and other mechanisms of mass enhancement (related to momentum dependence of the self-energies) on the effective mass and scattering times of light and heavy components in the clean case (electron-electron scattering and no impurities). We find the tendency towards phase separation (towards negative partial compressibility of heavy particles) in the 3D case for a large mismatch between the densities of heavy and light bands in the strong-coupling limit. We also observe that for low temperatures and equal densities, the homogeneous state resistivity R(T) similar to T-2 behaves in a Fermi-liquid fashion in both 3D and 2D cases. For temperatures higher than the effective bandwidth for heavy electrons T W-h*, the coherent behavior of the heavy component is totally destroyed. The heavy particles move diffusively in the surrounding of light particles. At the same time, the light particles scatter on the heavy ones as if on immobile (static) impurities. In this regime, the heavy component is marginal, while the light one is not. The resistivity saturates for T W-h* in the 3D case. In 2D, the resistivity has a maximum and a localization tail due to weak-localization corrections of the Altshuler-Aronov type [3]. Such behavior of resistivity could be relevant for some uranium-based heavy-fermion compounds like UNi2Al3 in 3D and for some other mixed-valence compounds possibly including layered manganites in 2D. We also briefly consider the superconductive (SC) instability in the model. The leading instability is towards the p-wave pairing and is governed by the enhanced Kohn-Luttinger [4] mechanism of SC at low electron density. The critical temperature corresponds to the pairing of heavy electrons via polarization of the light ones in 2D.

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Держатели документа:
Kapitza Inst Phys Problems, Moscow 119334, Russia;
Kirenskii Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Kagan, M. Yu.; Val'kov, V. V.; Вальков, Валерий Владимирович
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    Aksenov, S. V.
    Collapse of the Fano resonance caused by the nonlocality of the majorana state / S. V. Aksenov, M. Y. Kagan // JETP Letters. - 2020. - Vol. 111, Is. 5. - P. 286-292, DOI 10.1134/S0021364020050057. - 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). . - ISSN 0021-3640. - ISSN 1090-6487
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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Публикация на русском языке Аксенов, Сергей Владимирович. Коллапс резонанса Фано вследствие нелокальности майорановского состояния [Текст] / С. В. Аксенов, М. Ю. Каган // Письма в ЖЭТФ. - 2020. - Т. 111 Вып. 5. - С. 321-327

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr KSC, Siberian Branch, Krasnoyarsk 660036, Russia.
Natl Res Univ Higher Sch Econom, Moscow 101000, Russia.
Russian Acad Sci, Kapitza Inst Phys Problems, Moscow 119334, Russia.

Доп.точки доступа:
Kagan, M. Yu.; Аксенов, Сергей Владимирович; 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
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Aksenov, S. V.
Majorana modes and Fano resonances in Aharonov–Bohm ring with topologically nontrivial superconducting bridge / S. V. Aksenov, M. Yu. Kagan // J. Low Temp. Phys. - 2024, DOI 10.1007/s10909-024-03171-5. - Cited References: 46. - We were inspired by Andreev’s seminal contribution in the superconducting nanophysics—the field which started in fact from Josephson effect and Andreev reflection. M. Yu. Kagan thanks the Program for basic research of the National Research University Higher School of Economics for support. The work was partially carried out within the state assignment of Kirensky Institute of Physics. S.V.A. thanks the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" for support . - Article in press. - ISSN 0022-2291. - ISSN 1573-7357
Кл.слова (ненормированные):
Topological superconductivity -- Majorana modes -- Aharonov–Bohm ring -- Fano resonanse
Аннотация: We study different resonances (first of all of the Fano type) in the interference device formed by the Aharonov–Bohm ring with superconducting (SC) wire in the topologically nontrivial state playing a role of a bridge between top and bottom arms. We analyze Majorana modes on the ends of the SC wire and show that the collapse of the additional Fano resonance, that is initially induced by transport scheme asymmetry, is connected with the increase of the length of the bridge when the binding energy of the Majorana end modes tends to zero. In local transport regime, the Fano resonances are stable against the change of the transport symmetry. The reasons of both collapse and sustainability are analyzed using a spinless toy model including the Kitaev chain.

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Держатели документа:
Kirensky Institute of Physics, Siberian Branch of Russian Academy of Sciences, Akademgorodok 50/38, Krasnoyarsk, Russia, 660036
National Research University Higher School of Economics, Myasnitskaya Street 20, Moscow, Russia, 101000
P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Kosygin Street 2, Moscow, Russia, 119334

Доп.точки доступа:
Kagan, M. Yu.; Аксенов, Сергей Владимирович
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Formation of droplets of the order parameter and superconductivity in inhomogeneous Fermi–Bose mixtures (Brief review) / M. Yu. Kagan, S. V. Aksenov, A. V. Turlapov [et al.] // JETP Lett. - 2023. - Vol. 117, Is. 10. - P. 755-764, DOI 10.1134/S0021364023600994. - Cited References: 62. - This work was supported by the Russian Foundation for Basic Research (project no. 20-02-00015). M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (Program of Basic Research) . - ISSN 0021-3640. - ISSN 1090-6487
Аннотация: The studies of a number of systems treated in terms of an inhomogeneous (spatially separated) Fermi–Bose mixture with superconducting clusters or droplets of the order parameter in a host medium with unpaired normal states are reviewed. A spatially separated Fermi–Bose mixture is relevant to superconducting Ba-KBiO3 bismuth oxides. Droplets of the order parameter can occur in thin films of a dirty metal, described in the framework of the strongly attractive two-dimensional Hubbard model at a low electron density with a clearly pronounced diagonal disorder. The Bose–Einstein condensate droplets are formed in mixtures and dipole gases with an imbalance in the densities of the Fermi and Bose components. The Bose–Einstein condensate clusters also arise at the center or at the periphery of a magnetic trap involving spin-polarized Fermi gases. Exciton and plasmon collapsing droplets can emerge in the presence of the exciton–exciton or plasmon–plasmon interaction. The plasmon contribution to the charge screening in MgB2 leads to the formation of spatially modulated inhomogeneous structures. In metallic hydrogen and metal hydrides, droplets can be formed in shock-wave experiments at the boundary of the first-order phase transition between the metallic and molecular phases. In a spatially separated Fermi–Bose mixture arising in an Aharonov–Bohm interference ring with a superconducting bridge in a topologically nontrivial state, additional Fano resonances may appear and collapse due to the presence of edge Majorana modes in the system.

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Публикация на русском языке Образование капель параметра порядка и сверхпроводимость в неоднородных Ферми-Бозе смесях (Миниобзор) [Текст] / М. Ю. Каган, С. В. Аксенов, А. В. Турлапов [и др.] // Письма в ЖЭТФ. - 2023. - Т. 117 Вып. 10. - С. 754-764

Держатели документа:
National Research University Higher School of Economics, 101000, Moscow, Russia
Kapitza Institute for Physical Problems, Russian Academy of Sciences, 119334, Moscow, Russia
Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, Russian Academy of Sciences, 660036, Krasnoyarsk, Russia
Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia
Moscow Institute of Physics and Technology (National Research University), 141700, Dolgoprudnyi, Moscow region, Russia
Russian Quantum Center, 143025, Skolkovo, Moscow, Russia
Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, 125412, Moscow, Russia
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia
National Research Center Kurchatov Institute, 123182, Moscow, Russia
Lebedev Physical Institute, Russian Academy of Sciences, 119991, Moscow, Russia
Landau Institute of Theoretical Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow region, Russia
Skolkovo Institute of Science and Technology, 121205, Skolkovo, Moscow, Russia
Donostia International Physics Center (DIPC), 20018, San Sebastian/Donostia, Basque Country, Spain
Departamento de Polimeros y Materiales Avanzados: Fisica, Quimica y Tecnologia, Facultad de Ciencias Quimicas, Universidad del Pais Vasco UPV/EHU, Apartado 1072, 20080, San Sebastiain/Donostia, Basque Country, Spain
IKERBASQUE, Basque Foundation for Science, 48013, Bilbao, Basque Country, Spain

Доп.точки доступа:
Kagan, M. Yu.; Aksenov, S. V.; Аксенов, Сергей Владимирович; Turlapov, A. V.; Ikhsanov, R. Sh.; Kugel, K. I.; Mazur, E. A.; Kuznetsov, E. A.; Silkin, V. M.; Burovski, E. A.
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Topological superconductivity and Majorana states in low-dimensional systems / V. V. Val'kov, M. S. Shustin, S. V. Aksenov [et al.] // Phys.-Usp. - 2022. - Vol. 65, Is. 1. - P. 2-39, DOI 10.3367/UFNe.2021.03.038950. - Cited References: 320. - This review was prepared in the framework of the Russian Foundation for Basic Research (RFBR) grant 19-12-50087. Part of the presented results were obtained in the framework of RFBR projects 19-02-00348, 20-32-70059, and 20-02-00015. S V A expresses his gratitude for support through a grant from the President of the Russian Federation, MK-1641.2020.2. A O Z and M S Sh express their gratitude to the Theoretical Physics and Math ematics Advancement Foundation “BASIS”. M Yu K thanks the Program for Basic Research of the NationalResearch University Higher School of Economics for support . - ISSN 1063-7869
Кл.слова (ненормированные):
low-dimensional system -- Majorana bound state -- spin-orbit coupling -- topological invariant -- Coulomb correlations -- noncollinear magnetism -- topological superconductivity -- quantum transport
Аннотация: We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, the criteria for the appearance of elementary Majorana-type excitations in solids, and the corresponding principles and experimental methods for identifying Majorana bound states (MBSs). Along with the well-known Kitaev chain and superconducting nanowire (SW) models with spin-orbit coupling in an external magnetic field, we discuss models of quasi-two-dimensional materials in which MBSs are realized in the presence of noncollinear spin ordering. For finite-length SWs, we demonstrate a cascade of quantum transitions occurring with a change in the magnetic field, accompanied by a change in the fermion parity of the ground state. The corresponding anomalous behavior of the magnetocaloric effect can be used as a tool for identifying MBSs. We devote considerable attention to the analysis of the transport characteristics of devices that contain topologically nontrivial materials. The results of studying the conductance of an Aharonov-Bohm ring whose arms are connected by an SW are discussed in detail. An important feature of this device is the appearance of Fano resonances in the dependence of conductance on the magnetic field when the SW is in a topologically nontrivial phase. We establish a relation between the characteristics of such resonances and the spatial structure of the lowest-energy SW state. The conditions for the occurrence of an MBS in the phase of the coexistence of chiral d+id superconductivity and 120-degree spin ordering are determined in the framework of the t-J-V model on a triangular lattice. We take electron-electron interactions into account in discussing the topological invariants of low-dimensional superconducting materials with noncollinear spin ordering. The formation of Majorana modes in regions with an odd value of a topological ℤ invariant is demonstrated. The spatial structure of these excitations in the Hubbard fermion ensemble is determined.

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Публикация на русском языке Топологическая сверхпроводимость и майорановские состояния в низкоразмерных системах [Текст] : обзор / В. В. Вальков, M. S. Shustin, S. V. Aksenov [и др.] // Успехи физ. наук. - 2022. - Т. 192 № 1. - С. 3-44

Держатели документа:
Kirensky Institute Of Physics, Federal Research Center Krasnoyarsk Scientific Center, Siberian Branch, Russian Academy Of Sciences, Krasnoyarsk, Russian Federation
National Research University Higher School of Economics, ul. Myasnitskaya 20, 101000 Moscow, Russian Federation
Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, 119334 Moscow, Russian Federation

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Mitskan, V. A.; Мицкан, Виталий Александрович; Kagan, M. Yu.
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    Kagan, M. Yu.
    Effect of the long-range Coulomb interaction on the phase diagram of the Kohn–Luttinger superconducting state in Idealized graphene / M. Yu. Kagan, V. A. Mitskan, M. M. Korovushkin // J. Low Temp. Phys. - 2015. - Vol. - P. 1-7, DOI 10.1007/s10909-015-1427-2 . - ISSN 0022. - ISSN 1573-7357
   Перевод заглавия: Влияние межузельного кулоновского взаимодействия на фазовую диаграмму сверхпроводящего состояния Кона-Латтинжера в идеализированном графене
Кл.слова (ненормированные):
Unconventional superconductivity -- Kohn-Luttinger mechanism -- Graphene monolayer
Аннотация: The effect of the long-range Coulomb interaction on the formation of the Kohn–Luttinger superconductivity in monolayer doped graphene is studied disregarding the Van der Waals potential of the substrate and both magnetic and non-magnetic impurities. It is shown that the allowance for the Kohn–Luttinger renormalizations up to the second order in perturbation theory in the on-site Hubbard interaction inclusively, as well as in the intersite Coulomb interaction, significantly affects the interplay between the superconducting phases with the f-wave, p+ip-wave, and d+id-wave symmetries of the order parameter. It is demonstrated that taking Coulomb repulsion of electrons located at the next-nearest neighboring atoms in such a system into account changes qualitatively the phase diagram and enhances the critical temperature of the transition to the superconducting phase.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia.
MF Reshetnev Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.
P. L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Moscow,

Доп.точки доступа:
Mitskan, V. A.; Мицкан, Виталий Александрович; Korovushkin, M. M.; Коровушкин, Максим Михайлович
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Kohn-Luttinger effect and anomalous pairing in repulsive Fermi-systems at low density : Review Article / M. Yu. Kagan [et al.] // Физ. низких температур. - 2012. - Т. 38, Вып. 9. - С. 1102-1108. - Библиогр.: 59 назв. - We acknowledge helpful discussions with A. V. Chubukov, A. S. Alexandrov, V. V. Kabanov, K. I. Kugel, Yu. V. Kopaev, N. M. Plakida, and N. V. Prokof'ev. M. Yu. K's work was supported by RFBR Grant No 11-02-00741-a. . - ISSN 0132-6414
Кл.слова (ненормированные):
3D and 2D Hubbard model -- Fermi-gas model -- Superconductivity
Аннотация: In the large variety of models such as 3D and 2D Fermi-gas model with hard-core repulsion, 3D and 2D Hubbard model, and Shubin-Vonsovsky model we demonstrate the possibility of triplet p-wave pairing at low electron density. We show that the critical temperature of the p-wave pairing can be strongly increased in a spinpolarized case or in a two-band situation already at low density and reach experimentally observable values of (1-5) K. We also discuss briefly d-wave pairing and high-T c superconductivity with T c ∼ 100 K which arises in the extended Hubbard model and in the generalized t-J model close to half-filling.

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Переводная версия Kohn-Luttinger effect and anomalous pairing in repulsive Fermi-systems at low density [Текст] : Review Article / M. Y. Kagan [et al.] // Low Temp. Phys. : American Institute of Physics, 2012. - Vol. 38 Is. 9.- P.874-879

Держатели документа:
Kapitza Institute for Physical Problems, Kosygin Str. 2, Moscow 19334, Russian Federation
Max-Planck-Institut Fur Festkorperforschung, Stuttgart D-70569, Germany
Department of Physics and Astronomy, Hofstra University, Hempstead, NY 11549, United States
Kirenskii Institute of Physics, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Kagan, M.Yu.; Efremov, D. V.; Mar'Enko, M. S.; Val'kov, V. V.; Вальков, Валерий Владимирович
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Effect of long-range interactions on the Kohn-Luttinger mechanism of the cooper instability in the Shubin-Vonsowsky model / M. Yu. Kagan [et al.] // JETP letters. - 2013. - Vol. 97, Is. 4. - P. 226-232DOI 10.1134/S0021364013040085
Аннотация: The problem of Cooper instability is studied by implementing the Kohn–Luttinger mechanism in the frame-work of the Shubin–Vonsowsky model taking into account the intersite Coulomb interactions within the first and second coordination spheres. It is shown that the Kohn–Luttinger renormalization for the effective interaction in the second order terms of perturbation theory, as well as the inclusion of intersite hoppings in the second and third coordination spheres, significantly affects the interplay between the superconducting phases with dxy-, p-, s-, and dx2-y2 -wave symmetries of the order parameter.

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Публикация на русском языке Влияние дальних взаимодействий на механизм куперовской неустойчивости Кона-Латтинжера в модели Шубина-Вонсовского. - [S. l. : s. n.]

Держатели документа:
Russian Acad Sci, Kapitza Inst Phys Problems, Moscow 119334, Russia
Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Reshetnev Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia

Доп.точки доступа:
Kagan, M.Yu.; Val'kov, V. V.; Вальков, Валерий Владимирович; Mitskan, V. A.; Мицкан, Виталий Александрович; Korovushkin, M. M.; Коровушкин, Максим Михайлович
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10.

Kagan, M. Yu.
Spin-dependent transport in quadruple quantum-dotstructure taking into account coulomb correlations / M. Yu. Kagan, V. V. Val'kov, S. V. Aksenov // Moscow International Symposium on Magnetism (MISM-2017) : 1-7 July 2017 : book of abstracts. - 2017. - Ст. 4OR-P-14. - P. 709

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Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Aksenov, S. V.; Аксенов, Сергей Владимирович; Moscow International Symposium on Magnetism(7 ; 2017 ; Jul. ; Moscow); Московский государственный университет им. М.В. Ломоносова; Российский фонд фундаментальных исследований
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