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Related papers: Lattice solutions in a Ginzburg-Landau model for a…

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I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman

A chiral bobber is a localized three-dimensional magnetization configuration, terminated by a singularity. Chiral bobbers coexist with magnetic skyrmions in chiral magnets, lending themselves to new types of skyrmion-complementary bits of…

We study the classical antiferromagnetic Heisenberg model on the triangular lattice with Dzyaloshinskii-Moriya interactions in a magnetic field. We focus in particular in the emergence of a composite spin crystal phase, dubbed…

Strongly Correlated Electrons · Physics 2017-07-12 S. A. Osorio , H. D. Rosales , M. B. Sturla , D. C. Cabra

We develop the Ginzburg-Landau theory of the vortex lattice in clean isotropic three-dimensional superconductors at large Maki parameter, when inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state is favored. We show that diamagnetic…

Superconductivity · Physics 2015-03-31 M. Houzet , V. P. Mineev

We consider the low energy spectrum of spin-1/2 two-dimensional triangular lattice models subject to a ferromagnetic Heisenberg interaction and a three spin chiral interaction of variable strength. Initially, we consider quasi-one…

Quantum Physics · Physics 2008-01-20 D. I. Tsomokos , J. J. Garcia-Ripoll , N. R. Cooper , J. K. Pachos

Incommensurate magnetic phases in chiral cubic crystals are an established source of topological spin textures such as skyrmion and hedgehog lattices, with potential applications in spintronics and information storage. We report a…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Victor Ukleev , Tapas Samanta , Oleg I. Utesov , Jonathan S. White , Luana Caron

Time dependence of the size and chirality of a ferromagnetic skyrmion in a Heisenberg model with the magnetic field on a square lattice has been studied analytically and numerically. The lattice and the magnetic field generate strong time…

Mesoscale and Nanoscale Physics · Physics 2022-05-11 A. Derras-Chouk , E. M. Chudnovsky , D. A. Garanin

Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the $ c$ axis. The vortex core structure is distorted due to this higher order…

Condensed Matter · Physics 2009-09-25 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

Skyrmion formation in centrosymmetric magnets without Dzyaloshinskii-Moriya interactions was originally predicted from unbiased numerical techniques. However, no attempt has yet been made, by comparison to a real material, to determine the…

Strongly Correlated Electrons · Physics 2025-03-25 Max Hirschberger , Satoru Hayami , Yoshinori Tokura

We propose a three-dimensional micromagnetic model that dynamically solves the Landau-Lifshitz-Gilbert equation coupled to the full spin-diffusion equation. In contrast to previous methods, we solve for the magnetization dynamics and the…

We present a solvable ladder model which displays magnetization plateaus at fractional values of the total magnetization. Plateau signatures are also shown to exist along special lines. The model has isotropic Heisenberg interactions with…

Statistical Mechanics · Physics 2009-10-31 J. de Gier , M. T. Batchelor

This work studies the resonance excitations of the three-dimensional skyrmions lattice in the finite thickness plate of an isotropic chiral magnet using spin dynamics simulations. We found that the absorption spectra and resonance modes…

Mesoscale and Nanoscale Physics · Physics 2022-07-21 Andrii S. Savchenko , Vladyslav M. Kuchkin , Filipp N. Rybakov , Stefan Blügel , Nikolai S. Kiselev

Chiral symmetry breaking in magnetic thin films stabilizes new families of topological solitons that are absent in conventional anisotropic ferromagnets. Beyond the classical chiral skyrmion, which arises in uniaxial systems through the…

Analysis of PDEs · Mathematics 2025-12-15 Glal Bacho , Christof Melcher

We report the discovery of a thermodynamically stable skyrmion-antiskyrmion lattice in two-dimensional heterostructures, a novel state exhibiting a net-zero global topological charge owing to an equal population of skyrmions and…

Materials Science · Physics 2025-10-23 Sayan Banik , Ashis K. Nandy

Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interaction~(DMI). In this study, we propose a generalized…

Numerical Analysis · Mathematics 2023-04-13 Panchi Li , Shuting Gu , Jin Lan , Jingrun Chen , Weiqing Ren , Rui Du

Topological analysis of nearly SO(3)_{spin} symmetric Ginzburg--Landau theory, proposed for UPt$_{3}$ by Machida et al, shows that there exists a new class of solutions carrying two units of magnetic flux: the magnetic skyrmion. These…

Superconductivity · Physics 2009-10-31 A. Knigavko , B. Rosenstein

We study the vortex state in a magnetic field parallel to the $c$ axis in the framework of the extended Ginzburg Landau equation. We find the vortex acquires a fourfold modulation proportional to $\cos(4\phi)$ where $\phi$ is the angle…

Superconductivity · Physics 2009-10-31 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

Strongly Correlated Electrons · Physics 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

We study two-body interactions of magnetic skyrmions on the plane and apply them to a (mostly) analytic description of a skyrmion lattice. This is done in the context of the solvable line, a particular choice of a potential for magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Calum Ross , Norisuke Sakai , Muneto Nitta

Magnetic structures and their stability of the multiple helical spin density waves (MHSDW) and related magnetic skyrmions in itinerant electron system have been investigated on the basis of both the phenomenological and microscopic…

Strongly Correlated Electrons · Physics 2018-09-26 Yoshiro Kakehashi , Daiki Koja , Todgerel Olonbayar , Hideyori Miyagi