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1.


   
    Magnetic vortex near the extended linear magnetic inhomogeneity / V. A. Orlov, G. S. Patrin, M. V. Dolgopolova, I. N. Orlova // J. Magn. Magn. Mater. - 2021. - Vol. 533. - Ст. 167999, DOI 10.1016/j.jmmm.2021.167999. - Cited References: 66. - The study has been carried out within the framework of the state task of the Ministry of science and higher education of the Russian Federation (topic No. FSRZ-2020-0011) . - ISSN 0304-8853
   Перевод заглавия: Магнитный вихрь около протяженной линейной магнитной неоднородности
Кл.слова (ненормированные):
Nanodot -- Magnetic vortex -- Magnetic inhomogeneity -- Magnetic resonance -- Thiel's equation -- Skyrmions
Аннотация: In this paper, the problem of a magnetic vortex motion in a field of extended linear inhomogeneity is solved theoretically. The motion parameters are calculated by the method of collective variables (Thiel's equation) with the vortex effective mass and the third-order gyrovector. On the basis of the equation of motion, the influence of the core mass and the third-order gyrovector on the character of the vortex motion as a quasiparticle is analyzed. Using the method of magnetostatic charges, analytical expressions are obtained for the effective potentials where the vortex core is located: (a) near the edge of the magnet or at the boundary of different magnetic phases, (b) near the linear inhomogeneity of local anisotropy (bidirectional and unidirectional). The solution of the equation of motion made it possible to obtain the trajectories of the core in various physical situations. In addition, the paper discusses the features of the Hall effect for vortices/skyrmions, which are provided by the inertial properties and a third-order gyrovector. It is shown that when the core of a linear inhomogeneity crosses a unidirectional anisotropy or the boundary of magnetic phases, a curvature of the trajectory is observed, which is similar to the refraction of light at the boundary of optically dissimilar environment. It is important to note that the introduction of the mass and gyroscopic effect of the third order in the equation of motion showed that the motion of the vortex, even in a homogeneous potential, is not translational. In this case, the trajectory is an overlay of cycloids of different rotation frequencies (analytical expressions are obtained for the frequencies). It is shown that, the introduction of the mass and the gyroscopic term of the third order, the motion of the vortex core cannot be considered translational at least during the time of the transition mode until the stationary mode of motion takes place.

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Держатели документа:
Siberian Federal University, 79 Svobodny pr., Krasnoyarsk, 660041, Russian Federation
Kirensky Institute of Physics Federal Research Center KSC Siberian Branch Russian Academy of Sciences, Akademgorodok 50, bld. 38, Krasnoyarsk, 660036, Russian Federation
Krasnoyarsk State Pedagogical University named after V.P. Astafiev, 89 Ady Lebedevoi street, Krasnoyarsk, 660049, Russian Federation

Доп.точки доступа:
Orlov, V. A.; Орлов, Виталий Александрович; Patrin, G. S.; Патрин, Геннадий Семёнович; Dolgopolova, M. V.; Orlova, I. N.
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2.


    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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3.


    Shustin, M. S.
    Higher-order magnetic skyrmions in nonuniform magnetic fields / M. S. Shustin, V. A. Stepanenko, D. M. Dzebisashvili // Phys. Rev. B. - 2023. - Vol. 107, Is. 19. - Ст. 195428, DOI 10.1103/PhysRevB.107.195428. - Cited References: 75. - The authors thank Prof. I. S. Burmistrov, S. Apostoloff, E. S. Andriyakhina, M. N. Potkina, and A. D. Fedoseev for fruitful discussions. S.M.S. acknowledges the support the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (Grant No. 20-1-4-25-1) and Council of the President of the Russian Federation for Support of Young Scientists and Leading Scientific Schools (Grant No. MK-4687.2022.1.2). The analytical solution of systems of nonlinear algebraic equations was carried out by S.V.A. with the support by Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2023-936) . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: For a two-dimensional Hubbard model with spin-orbit Rashba coupling in external magnetic field the structure of effective spin interactions is studied in the regime of strong electron correlations and at half-filling. It is shown that in the third order of perturbation theory, the scalar and vector chiral spin-spin interactions of the same order arise. The emergence of the latter is due to orbital effects of magnetic field. It is shown that for nonuniform fields, scalar chiral interaction can lead to stabilization of axially symmetric skyrmion states with arbitrary topological charges. Taking into account the hierarchy of effective spin interactions, an analytical theory on the optimal sizes of such states, the higher-order magnetic skyrmions, is developed for axially symmetric magnetic fields of the form h(r) ∼ rβ with ∊R.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
Siberian Federal University, 660041, Krasnoyarsk, Russia

Доп.точки доступа:
Stepanenko, V. A.; Dzebisashvili, D. M.; Дзебисашвили, Дмитрий Михайлович; Шустин, Максим Сергеевич
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4.


    Shustin, M. S.
    To an analytical theory of higher-order magnetic skyrmions in nonuniform magnetic fields / M. S. Shustin, D. M. Dzebisashvili, V. A. Stepanenko // Phys. Solid State. - 2023. - Vol. 65, Is. 6. - P. 978-986, DOI 10.21883/PSS.2023.06.56111.41H. - Cited References: 44. - The research was supported by ”BASIS“ Foundation for Development of Theoretic Physics and Mathematics (project No. 20-1-4-25-1), grant of the President of the Russian Federation MK-4687.2022.1.2, Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2023-936) . - ISSN 1063-7834. - ISSN 1090-6460
Кл.слова (ненормированные):
magnetic skyrmions -- nonuniform magnetic fields
Аннотация: It is shown that axially symmetric inhomogeneous magnetic fields can lead to stabilization of higher-order magnetic skyrmions with topological charge |Q| ˃ 1 due to orbital effects. We developed the analytical theory on the energy, size, and domain wall width of the such skyrmions in a power-law inhomogeneous fields, with a parameters corresponding to strongly correlated electron systems. The results obtained may have applications in describing the formation of nontrivial magnetic structures in inhomogeneous fields of superconducting vortices in heterostructures superconductor – chiral magnet of the type [Ir1Fe0.5Co0.5Pt1]10/MgO/Nb.

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Публикация на русском языке Шустин, Максим Сергеевич. К аналитической теории магнитных скирмионов высокого порядка в неоднородном магнитном поле [Текст] / М. С. Шустин, Д. М. Дзебисашвили, В. А. Степаненко. - 10 с. // Физ. твердого тела. - 2023. - Т. 65 Вып. 6. - С. 1021-1030

Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, Krasnoyarsk, Russia
Siberian Federal University, Krasnoyarsk, Russia

Доп.точки доступа:
Dzebisashvili, D. M.; Дзебисашвили, Дмитрий Михайлович; Stepanenko, V. A.; Шустин, Максим Сергеевич; Nanophysics and Nanoelectronics, International Symposium(27 ; 13-16 March 2023 ; Nizhny Novgorod, Russia)
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5.


    Enkova, Eugenia O..
    Symmetry analysis of radial profiles of magnetic skyrmions / E. O. Enkova, V. A. Stepanenko, M. S. Shustin // J. Sib. Fed. Univ. Math. Phys. - 2023. - Vol. 16, Is. 6. - P. 811-819 ; Журн. СФУ. Матем. и физ. - Cited References: 16. - S.M.S. thanks Maria Potkina as the author of magnetic skyrmionium ansantz, for fruitful discussions and her enormous contribution to this work. The authors thank D. M. Dzebisashvili for useful discussions. The work was carried out within the state assignment of Kirensky Institute of Physics. The work was supported by the Foundation for the Development of Theoretical Physics and Mathematics "BASIS" (project no. 23-1-3-52-1), Krasnoyarsk Mathematical Center of the Ministry of Science and Higher Education of the Russian Federation, Agreement no. 75-02-2023-936 . - ISSN 1997-1397. - ISSN 2313-6022
   Перевод заглавия: Анализ симметрии радиальных профилей магнитных скирмионов
Кл.слова (ненормированные):
magnetic skyrmions -- chiral interactions -- symmetry analysis of differential equations -- skyrmion bags -- магнитные скирмионы -- киральные взаимодействия -- симметрийный анализ дифференциальных уравнений -- скирмионные мешки
Аннотация: The search for analytical profiles of chiral magnetic structures such as 2D magnetic skyrmions (MS) is important for their theoretical study. Since the Euler–Lagrange (EL) equations for such excita- tions are not solved exactly, the MSs are described using analytical ansatzs. In this work, we validate one of the widely used ansatzs based on a symmetry analysis of the 1D analog of the EL equations, which characterizes the radial profile of the MS. As a development of this approach, a profiles of skyrmion bags are proposed.
Поиск аналитических профилей киральных магнитных структур типа 2D магнитных скирмионов (МС) является важным при их теоретическом описании. Поскольку уравнения Эйлера–Лагранжа (ЭЛ) для таких возбуждений не решаются точно, описание МС проводят с помощью аналитических пробных функций — анзацев. В настоящей работе проводится обоснование одного из широко используемых анзацей на основе симметрийного анализа 1D версии уравнений ЭЛ, определяющего радиальный профиль МС. В развитии такого подхода предлагаются профили скирмионных мешков с топологическими зарядами Q ≥ 0.

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Держатели документа:
Siberian Federal University, Krasnoyarsk, Russian Federation
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Stepanenko, Vitaly A.; Shustin, M. S.; Шустин, Максим Сергеевич

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