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Using a self consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy functional is minimised for a periodic distribution of Skyrmions…

Condensed Matter · Physics 2019-08-15 A. G. Green , I. I. Kogan , A. M. Tsvelik

Traditionally, skyrmions are treated as continuum magnetic textures of classical spins with a well-defined topological skyrmion number. Owing to their topological protection, skyrmions have attracted great interest as building blocks in…

Strongly Correlated Electrons · Physics 2022-06-24 Kristian Mæland , Asle Sudbø

When a magnon passes through two-dimensional magnetic textures, it will experience a fictitious magnetic field originating from the $3\times 3$ skew-symmetric gauge fields. To date, only one of the three independent components of the gauge…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Zhejunyu Jin , Xianglong Yao , Zhenyu Wang , H. Y. Yuan , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

We theoretically study the quantized anomalous Hall effect (QAHE) in skyrmion crystal (SkX) without external magnetic field. The emergent magnetic field in SkX could be gigantic as much as $\sim4000$T when its lattice constant is $\sim1$nm.…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Keita Hamamoto , Motohiko Ezawa , Naoto Nagaosa

Brownian dynamics of chiral matter in chiral environment may give rise to emergent phenomena that could not be observed in achiral environment. Here, we report the asymmetric diffusion of chiral skyrmions in two chambers separated by a…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 X. Zhang , C. Reichhardt , C. J. O. Reichhardt , Y. Zhou , Y. Xu , M. Mochizuki

Since the 1950s Heisenberg and others have attempted to explain the appearance of countable particles in quantum field theory in terms of stable localized field configurations. As an exception Skyrme's model succeeded to describe nuclear…

Statistical Mechanics · Physics 2009-11-11 U. K. Roessler , A. N. Bogdanov , C. Pfleiderer

The understanding of the dynamical properties of skyrmion is a fundamental aspect for the realization of a competitive skyrmion based technology beyond CMOS. Most of the theoretical approaches are based on the approximation of a rigid…

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

Magnetic skyrmions are stable nanosized spin structures that can be displaced at low electrical current densities. Because of these properties, they have been proposed as building blocks of future electronic devices with unprecedentedly…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Maxime Leroux , Matthew J. Stolt , Song Jin , Douglas V. Pete , Charles Reichhardt , Boris Maiorov

Magnetic skyrmions are topologically protected spin textures known for their robustness against perturbations. Their topological stability makes them robust information carriers, ideal for tackling a key challenge in quantum computing:…

Quantum Physics · Physics 2026-01-19 Haowen Yang , Gerald Bissell , Han Zhong , Peter Van Kirk , Tiger Cao , Pengcheng Lu , Yingying Wu

Magnetic skyrmions are intriguing topological spin textures that have attracted great attention due to their potential for future spintronic devices. Skyrmions have so far been explored in different magnetic materials, such as ferromagnets,…

The linewidth of antiferromagnetic resonance (AFMR) is found to be significantly broader than that of ferromagnetic resonance (FMR), even when the intrinsic Gilbert damping parameter is the same for both systems. We investigate the origin…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Yutian Wang , Jiang Xiao

The temperature dependence of electron spin polarization for a narrow quantum Hall system shows behavior analogous to that of a two-dimensional system at major filling factors. At the lowest half-filled quantum Hall state for which no…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

We derive an effective non-linear sigma model for quantum hall systems with arbitrary polarizations, by employing the recently proposed doublet model. We study the topological excitations, in particular, the skyrmions, as a function of the…

Condensed Matter · Physics 2009-10-30 Sudhansu S. Mandal , V. Ravishankar

The electrons on the surface of a disordered multi-layer integer quantum Hall system constitute an unusual chiral metal with ballistic motion transverse to the field, and diffusive motion parallel to it. We present a non-perturbative…

Condensed Matter · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher , Martin R. Zirnbauer

A moving magnetic skyrmion exhibits transverse deflection. This so-called skyrmion Hall effect has been explained by the Thiele equation. Here, we provide an alternative interpretation of the skyrmion Hall effect based on the dynamics of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Kyoung-Woong Moon , Jungbum Yoon , Changsoo Kim , Jae-Hun Sim , Se Kwon Kim , Soong-Geun Je , Chanyong Hwang

Skyrmions are topologically protected spin textures, characterized by a topological winding number N , that occur spontaneously in some magnetic materials. Recent experiments have demonstrated the capability to grow graphene on top Fe/Ir, a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 J. L. Lado , J. Fernandez-Rossier

The nonlinear Hall effect has recently garnered significant attention as a powerful probe of Fermi surface quantum geometry in metals. While current studies mainly focus on the nonlinear Hall response driven by quasi-static electric fields…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Wen-Yu He , K. T. Law

A skyrmion state in a non-centrosymmetric helimagnet displays topologically protected spin textures with profound technological implications for high density information storage, ultrafast spintronics, and effective microwave devices.…

Exchange anisotropy provides a direction dependent mechanism for the stability of the skyrmion lattice phase in noncentrosymmetric bulk chiral magnets. Based on the Fourier representation of the skyrmion lattice, we explain the direction…

Mesoscale and Nanoscale Physics · Physics 2018-08-16 Yangfan Hu