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The ground states of square lattice two-dimensional antiferromagnets with anisotropy in an external magnetic field are determined using Monte Carlo simulations and compared to theoretical analysis. We find a new phase in between the…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Rick Keesman , Mark Raaijmakers , A. E. Baerends , G. T. Barkema , R. A. Duine

We report the application of the nonlinear $\sigma$ model to study the multi-skyrmion problem in the quantum Hall ferromagnet system. We make use of a first-principle calculation to derive an analytical form for the inter-skyrmionic…

Condensed Matter · Physics 2015-06-25 M. Abolfath , M. R. Ejtehadi

We report the application of the nonlinear $\sigma$ model to study the multi-skyrmion problem in the quantum Hall ferromagnet system. We show that the ground state of the system can be described by a ferromagnet triangular Skyrme lattice…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Abolfath , M. R. Ejtehadi

In a broad range of applied magnetic fields and material parameters isolated magnetic skyrmions condense into skyrmion lattices. While the geometry of isolated skyrmions and their lattice counterparts strongly depend on field and…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 A. Siemens , Y. Zhang , J. Hagemeister , E. Y. Vedmedenko , R. Wiesendanger

I revisit the well-known phase transition between the hexagonal skyrmion lattice and the homogeneous state within the phenomenological Dzyaloshinskii theory for chiral magnets which includes only the exchange, Dzyaloshinskii-Moriya and…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Andrey O. Leonov

We re-examine the internal structure of skyrmioniums stabilized in quasi-two-dimensional chiral magnets with easy-axis uniaxial anisotropy. Skyrmioniums are particle-like states of two nested skyrmions with opposite polarities contributing…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Kaito Nakamura , Andrey O. Leonov

We study inter-skyrmion interactions and stable spin configurations in a 2D chiral magnet with in-plane anisotropies of a tilted magnetic field and the magneto-crystalline anisotropy on a (011) thin film. We find that in both cases a small…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Mai Kameda , Rio Koyama , Takuro Nakajima , Yuki Kawaguchi

Topological protection of chiral magnetic structures is investigated by taking a two-dimensional magnetic skyrmion as an example. The skyrmion lifetime is calculated based on harmonic transition state theory for a discrete lattice model…

Materials Science · Physics 2022-01-26 M. N. Potkina , I. S. Lobanov , H. Jónsson , V. M. Uzdin

We introduce a family of models for magnetic skyrmions in the plane for which infinitely many solutions can be given explicitly. The energy defining the models is bounded below by a linear combination of degree and total vortex strength,…

Strongly Correlated Electrons · Physics 2020-01-27 Bruno Barton-Singer , Calum Ross , Bernd J Schroers

The emergence of a magnetic skyrmion crystal in a nonsymmorphic lattice system with the screw symmetry is numerically investigated. By performing the simulated annealing for a layered spin model with the isotropic exchange interaction and…

Strongly Correlated Electrons · Physics 2022-07-04 Satoru Hayami

In three-dimensional chiral magnets, skyrmions are line-like objects oriented parallel to the applied magnetic field. The efficient coupling of magnetic skyrmion lattices to spin currents and magnetic fields permits their dynamical…

Strongly Correlated Electrons · Physics 2025-04-03 Felix Rucker , Alla Bezvershenko , Denis Mettus , Andreas Bauer , Markus Garst , Achim Rosch , Christian Pfleiderer

The profile and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii-Moriya interaction, can be approximated by formulae obtained through asymptotic analysis in the limits of small and large skyrmion radius. Using…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Stavros Komineas , Christof Melcher , Stephanos Venakides

Two-dimensional chiral magnets are known to host a variety of skyrmions, characterized by an integer topological charge. However, these systems typically favor uniform lattices as a thermodynamically stable phase composed of either…

Materials Science · Physics 2026-03-18 Sayan Banik , Nikolai S. Kiselev , Ashis K. Nandy

Chiral skyrmion states exist in non - centrosymmetric magnetic crystals as a consequence of the asymmetric exchange Dzyaloshinskii-Moriya interactions that destroy the homogeneous magnetic state and generally lead to twisted incommensurate…

Mesoscale and Nanoscale Physics · Physics 2014-06-10 A. O. Leonov

We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii-Moriya (DM) interaction and the magnetic field, using the stereographic projection method. In the absence of DM interaction, $D$, and the field, $B$, the…

Strongly Correlated Electrons · Physics 2019-02-20 V. E. Timofeev , A. O. Sorokin , D. N. Aristov

We find approximate solutions for the two-dimensional non-linear {\Sigma}-model with Dzyalioshinkii-Moriya term, representing magnetic Skyrmions. They are built in an analytic form, by pasting different approximate solutions found in…

Strongly Correlated Electrons · Physics 2017-10-10 Nicolas Grandi , Mauricio Sturla

We study realizations of spirals and skyrmions in two-dimensional antiferromagnets with a triangular lattice on an inversion-symmetry-breaking substrate. As a possible material realization, we investigate the adsorption of transition-metal…

Mesoscale and Nanoscale Physics · Physics 2021-05-07 Wuzhang Fang , Aldo Raeliarijaona , Po-Hao Chang , Alexey A. Kovalev , Kirill D. Belashchenko

We study a magnetic domain wall in the ferromagnetic phase in chiral magnets in two dimensions with an in-plane easy-axis anisotropy and an out-of-plane Zeeman magnetic field, and find a chiral soliton lattice (spiral) phase beside a…

Mesoscale and Nanoscale Physics · Physics 2025-04-28 Yuki Amari , Muneto Nitta

At half filling of the fourfold degenerate Landau levels |n| \geq 1 in graphene, the ground states are spin polarized quantum Hall states that support spin skyrmion excitations for |n| =1,2,3. Working in the Hartree-Fock approximation, we…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 Wenchen Luo , R. Côté

We study the quantum mechanics of magnetic skyrmions in the vicinity of the skyrmion-crystal to ferromagnet phase boundary in two-dimensional magnets. We show that the skyrmion excitation has an energy dispersion that splits into multiple…

Strongly Correlated Electrons · Physics 2016-11-03 Rina Takashima , Hiroaki Ishizuka , Leon Balents
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