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On the Dirac mass of Hubbard fermions in strongly correlated higher-order topological superconductor / S. V. Aksenov, A. D. Fedoseev, M. S. Shustin, A. O. Zlotnikov // Phys. Solid State. - 2023. - Vol. 65, Is. 7. - P1063-1070, DOI 10.61011/PSS.2023.07.56391.31H. - Cited References: 28. - The study was supported by the Russian Science Foundation (project No. 22-22-20076), and Krasnoyarsk Regional Fund of Science . - ISSN 1063-7834. - ISSN 1090-6460
Кл.слова (ненормированные):
topological phases -- Dirac fermions -- Coulomb interaction -- strong correlations -- Majorana modes
Аннотация: Majorana corner modes have a number of advantages over the conventional Majorana states in terms of performing topologically protected quantum computations. However, the problem of the influence of Coulomb repulsion on higher-order phases, which inevitably arises when trying to implement such systems in practice, has been poorly studied. In this article, we analyze the features of a topological invariant describing the nontrivial phase with the corner modes for a two-dimensional two-orbital model of a hybrid structure in the regime of extremely strong electron correlations. For this purpose, approximate wave functions of the edge states with a linear dispersion law and the associated Dirac masses, which arise when superconducting pairing in the system is taken into account, are obtained.

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Публикация на русском языке О дираковской массе хаббардовских фермионов в сильно коррелированном топологическом сверхпроводнике высокого порядка [Текст] / С. В. Аксенов, А. Д. Федосеев, М. С. Шустин, А. О. Злотников. - 9 с. // Физ. твердого тела. - 2023. - Т. 65 Вып. 7. - С. 1109-1117

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, 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; Nanophysics and Nanoelectronics, International Symposium(XXVII ; 13-16 March 2023 ; Nizhny Novgorod, Russia)
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Val'kov, V. V.
Splitting of the spectrum of fermionic excitations in a topological insulator by charge fluctuations / V. V. Val'kov // JETP Letters. - 2021. - Vol. 114, Is. 12. - P. 751-756, DOI 10.1134/S0021364021240097. - Cited References: 22. - This work was supported by the Russian Foundation for Basic Research (project no. 19-02-00348) . - ISSN 0021-3640. - ISSN 1090-6487

РУБ Physics, Multidisciplinary
Рубрики:
HUBBARD FERMIONS
   EDGE STATES
   PHASE
   SURFACE
Аннотация: It is shown that the intersite Coulomb interaction of electrons in a topological insulator leads to the splitting of the initial energy structure and to the induction of two bands of fluctuation states. As a result, the total spectrum of Fermi excitations of the topological insulator has a four-band structure. The dielectric gap is determined by the energy interval between the bottom of the band of fluctuation states of conduction electrons and the top of the valence band of fluctuation states. Since the band of fluctuation states is narrow, quasiparticles with different effective masses appear.

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Публикация на русском языке Вальков, Валерий Владимирович. Расщепление спектра фермиевских возбуждений топологического изолятора зарядовыми флуктуациями [Текст] / В. В. Вальков // Письма в ЖЭТФ. - 2021. - Т. 114 Вып. 12. - С. 812-817

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr KSC, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Вальков, Валерий Владимирович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]
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Zlotnikov, A. O.
Aspects of topological superconductivity in 2D systems: Noncollinear magnetism, skyrmions, and higher-order topology / A. O. Zlotnikov, M. S. Shustin, A. D. Fedoseev // J. Supercond. Nov. Magn. - 2021. - Vol. 34, Is. 12. - P. 3053-3088, DOI 10.1007/s10948-021-06029-z. - Cited References: 230. - The study was funded by the Russian Foundation for Basic Research (Project No. 19-02-00348), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science (Grants No. 19-42240011, 20-42-243001). A.O.Z. and M.S.S. are grateful to the support of the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" . - ISSN 1557-1939. - ISSN 1557-1947

РУБ Physics, Applied + Physics, Condensed Matter
Рубрики:
D-WAVE SUPERCONDUCTIVITY
NON-ABELIAN STATISTICS
CHIRAL SUPERCONDUCTIVITY
Кл.слова (ненормированные):
Topological superconductivity -- Majorana fermions -- Noncollinear magnetism -- Magnetic skyrmion -- Higher-order topology
Аннотация: The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range noncollinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.

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

Доп.точки доступа:
Shustin, M. S.; Шустин, Максим Сергеевич; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Злотников, Антон Олегович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348]; Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [19-42240011, 20-42-243001]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
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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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Zlotnikov, A. O.
Majorana fermions in strongly correlated system with coexisting superconductivity and noncollinear spin ordering / A. O. Zlotnikov // SNS 2019 Spectroscopies in novel superconductors : Abstract [Program]. - 2019. - Ст. P-MO-31. - P. 91. - Cited References: 3. - This study was funded by the Russian Foundation for Basic Research (No. 19-02-00348а) and the Grant of the President of the Russian Federation MK-3594.2018.2
Аннотация: At present, a new mechanis m of the formation of the Majorana edge states in topological spin-singlet superconductors due to the presence of the long- range magnetic order is often considered [1- 3]. We show a formation of the coexistence state of chiral d+id superconductivity and noncollinear 120-degree spin ordering in the strongly correlated Mott- Hubbard system with a triangular lattice (such as NaxCoO2). There exist different topologically nontrivial phases characterized by the invariant N3in the coexistence stateю The topologicaltransitions between such phases occur upon increasingelectron doping. By solving the system of equations for the Green functions the appearance of Majorana fermions in the coexistence phase is shown. With strong correlation effects the Majorana fermion c an be defined as the specificsuperposition of electron-like and hole-like Hubbard fermions.

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Доп.точки доступа:
Злотников, Антон Олегович; International Conference on Spectroscopies in Novel Superconductors(2019 ; June ; 16-21 ; Tokyo, Japan)
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    Kolovsky, A. R.
    Evaporative Cooling and Self-Thermalization in an Open System of Interacting Fermions / A. R. Kolovsky, D. L. Shepelyansky // Ann. Phys.-Berlin. - 2019. - Vol. 531, Is. 12. - Ст. 1900231, DOI 10.1002/andp.201900231. - Cited References: 24. - For D.L.S. this work was supported in part by the Programme Investissements d'Avenir ANR-11-IDEX-0002-02, reference ANR-10-LABX-0037-NEXT (project THETRACOM). For A.R.K. this work was supported in part by Russian Science Foundation through the grant N19-12-00167. . - ISSN 0003-3804. - ISSN 1521-3889
   Перевод заглавия: Испарительное охлаждение и само-термализация в открытой системе взаимодействующих фермионов
Рубрики:
QUANTUM CHAOS
   DISTRIBUTIONS
   STATISTICS
Кл.слова (ненормированные):
open quantum systems -- quantum chaos -- self-thermalization
Аннотация: Depletion dynamics of an open system of weakly interacting fermions with two-body random interactions is studied. In this model, fermions are escaping from the high-energy one-particle orbitals, that mimics the evaporation process used in laboratory experiments with neutral atoms to cool them to ultra-low temperatures. It is shown that due to self-thermalization the system instantaneously adjusts to the new temperature which decreases with the course of time.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
Univ Toulouse, UPS, Lab Phys Theor, IRSAMC,CNRS, F-31062 Toulouse, France

Доп.точки доступа:
Shepelyansky, Dima L.; Коловский, Андрей Радиевич; Programme Investissements d'AvenirFrench National Research Agency (ANR) [ANR-11-IDEX-0002-02, ANR-10-LABX-0037-NEXT]; Russian Science FoundationRussian Science Foundation (RSF) [N19-12-00167]
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    Occurrence of Topologically Nontrivial Phases, Cascade of Quantum Transitions, and Identification of Majorana Modes in Chiral Superconductors and Nanowires (Scientific Summary) / V. V. Val'kov [et al.] // JETP Letters. - 2019. - Vol. 110, Is. 2. - P. 140-153, DOI 10.1134/S002136401914011X. - Cited References: 88. - This work was supported by the Russian Foundation for Basic Research (project nos. 16-02-00073, 18-32-00443, 19-02-00348) and jointly by the Government of the Krasnoyarsk Territory, the Krasnoyarsk Regional Fund of Science (project no. 18-42-243017, "Manifestation of Coulomb Interactions and Effects of Bounded Geometry in the Properties of Topological Edge States of Nanostructures with Spin-Orbit Interaction"; project no. 18-42-243018, "Contact Phenomena and Magnetic Disorder in the Problem of the Formation and Detection of Topologically Protected Edge States in Semiconductor Nanostructures"; and project no. 18-42-240014, "Single-Orbit Effective Model of an Ensemble of Spin-Polaron Quasiparticles in the Problem of Describing the Intermediate State and Pseudogap Behavior of Cuprate Superconductors"). S.V. Aksenov and A. O. Zlotnikov acknowledge the support of the Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific Schools (project nos. MK-3722.2018.2 and MK-3594.2018.2). . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
HUBBARD FERMIONS
   BOUND-STATE
   SPIN
   POLARIZATION
   COEXISTENCE
Аннотация: The problems of occurrence and experimental identification of topologically nontrivial phases in condensed matter have been reviewed. The results of the study of the effect of strong intra- and interatomic Coulomb interaction on a quantum phase transition with change in the topological index in an ensemble of Hubbard fermions on a triangular lattice have been reported. Nontrivial topology of the phase of coexistence of d + id chiral superconductivity and 120° spin ordering in a system with the triangular lattice has been discussed and the formation of Majorana modes in such a phase has been demonstrated. A cascade of quantum transitions that occurs at the variation of the magnetic field or the electrochemical potential has been analyzed for an open nanowire with the Rashba spin-orbit coupling and the induced superconducting pairing potential. It has been shown that anomalies of magneto- and electrocaloric effects are manifested near such quantum transitions and can be used to experimentally test materials on the existence of topologically nontrivial phases in them. The switching of the spin-polarized current in the topological superconducting phase has been predicted for a semimetal/superconducting wire/semimetal structure in the weak nonequilibrium regime.

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Публикация на русском языке

Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Fed Res Ctr KSC, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Mitskan, V. A.; Мицкан, Виталий Александрович; Zlotnikov, A. O.; Злотников, Антон Олегович; Shustin, M. S.; Шустин, Максим Сергеевич; Aksenov, S. V.; Аксенов, Сергей Владимирович; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [16-02-00073, 18-32-00443, 19-02-00348]; Government of the Krasnoyarsk Territory; Krasnoyarsk Regional Fund of Science [18-42-243017, 18-42-243018, 18-42-240014]; Council of the President of the Russian Federation for State Support of Young Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK-3722.2018.2, MK-3594.2018.2]
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    Val'kov, V. V.
    Electronic spin polarization in the Majorana bound state in one-dimensional wires / V. V. Val'kov, S. V. Aksenov // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 112-115, DOI 10.1016/j.jmmm.2016.10.155. - 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. . - ISSN 0304-8853
   Перевод заглавия: Электронная спиновая поляризация в майорановском связанном состоянии в одномерных проволоках

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
NON-ABELIAN STATISTICS
FERMIONS
Кл.слова (ненормированные):
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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Доп.точки доступа:
Aksenov, S. V.; Аксенов, Сергей Владимирович; Вальков, Валерий Владимирович; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН
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Val'kov, V. V.
Effect of the three-center terms on the chiral superconducting d-wave pairing of the Hubbard fermions on the triangular lattice / V. V. Val'kov, T. A. Val'kova, V. A. Mitskan // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 129-132, DOI 10.1016/j.jmmm.2016.12.085. - Cited References: 14. - The reported study was funded by the Russian Foundation for Basic Research, project no. 16-02-00073 and by Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund to the research project no. 16-42-240435. . - ISSN 0304-8853

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
MODEL
Кл.слова (ненормированные):
Superconductivity -- Chiral order parametr -- Triangular lattice
Аннотация: Using the diagram technique for the Hubbard operators an integral equation that determines the order parameter of the superconducting phase Δ(p) was obtained in the framework of t−J−V and t−J*−V models on triangular lattice. It is shown that there are two scenarios of formation of superconducting phase with gapless spectrum at the critical concentration of carriers xc. The effect of three-center terms on implementation of this phase was also considered.

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Доп.точки доступа:
Val'kova, T. A.; Mitskan, V. A.; Мицкан, Виталий Александрович; Вальков, Валерий Владимирович; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН
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10.

    Majorana zero modes in the coexistence phase of chiral superconductivity and 120°-type magnetic order on the triangular lattice / V. V. Val'kov [et al.] // J. Magn. Magn. Mater. - 2017. - Vol. 440. - P. 37-40, DOI 10.1016/j.jmmm.2016.12.093. - Cited References: 15. - This study was funded by RFBR according to the research projects Nos. 16-02-00073-a, 16-42-243069-r-mol-a (partly with Government of Krasnoyarsk Territory). A.O.Z. is grateful for support of the Grant of the President of the Russian Federation SP-1370.2015.5. . - ISSN 0304-8853
   Перевод заглавия: Майорановские нулевые моды в фазе сосуществования сверхпроводимости и 120-градусного магнитного порядка на треугольной решетке

РУБ Materials Science, Multidisciplinary + Physics, Condensed Matter
Рубрики:
HUBBARD FERMIONS
   BREAKING
   ENSEMBLE
   STATES
Кл.слова (ненормированные):
Majorana zero modes -- Chiral superconductivity -- Noncollinear magnetic order -- Triangular lattice
Аннотация: We discuss the conditions under which Majorana zero modes can be implemented in the coexistence phase of chiral superconductivity and 120°-type noncollinear spin structure on the triangular lattice. It is shown that the gapless elementary excitations exist on the finite region in the parameter space consisting of the effective exchange field, the chemical potential, and the superconducting order parameter. The range of parameters supporting Majorana edge states with exactly zero excitation energy has also been found.
Обсуждаются условия, при которых в фазе сосуществования киральной сверхпроводимости и неколлинеарной 120-градусной спиновой структуры на треугольной решетке могут реализоваться майорановские нулевые моды. Показано, что бесщелевые элементарные возбуждения существуют в конечной области параметрического пространства, определяемого эффективным обменным полем, химическим потенциалом и сверхпроводящим параметром порядка. Набор параметров, формирующий майорановские краевые состояния со строго равной нулю энергией возбуждения, также был найден.

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Доп.точки доступа:
Val'kov, V. V.; Вальков, Валерий Владимирович; Zlotnikov, A. O.; Злотников, Антон Олегович; Fedoseev, A. D.; Федосеев, Александр Дмитриевич; Shustin, M. S.; Шустин, Максим Сергеевич; Euro-Asian Symposium "Trends in MAGnetism"(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); "Trends in MAGnetism", Euro-Asian Symposium(6 ; 2016 ; Aug. ; 15-19 ; Krasnoyarsk); Институт физики им. Л.В. Киренского Сибирского отделения РАН
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