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The electric magnetochiral anisotropy is a nonreciprocal phenomenon accessible via second harmonic transport in noncentrosymmetric, time-reversal invariant materials, in which the rectification of current, ${\bf I}$, can be controlled by an…

The anomalous Hall, Nernst and thermal Hall coefficients of Fe$_{3-x}$GeTe$_2$ display several features upon cooling, like a reversal in the Nernst signal below $T = 50$ K pointing to a topological transition (TT) associated to the…

MnBi$_2$Te$_4$, a two-dimensional magnetic topological insulator with a uniaxial antiferromagnetic structure, is an ideal platform to realize quantum anomalous Hall effect. However, the strength of magnetic interactions is not clear yet. We…

Here we consider an interplay between the topology of the magnetization texture (which is a topological soliton, or Skyrmion) in a planar magnetic nano-element and the topology of the element itself (its connectivity). We establish the…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Andrei B. Bogatyrëv , Konstantin L. Metlov

Dynamical topological solitons are studied in classical two-dimensional Heisenberg easy-axis ferromagnets. The properties of such solitons are treated both analytically in the continuum limit and numerically by spin dynamics simulations of…

Strongly Correlated Electrons · Physics 2007-05-23 Denis D. Sheka , Christian Schuster , Boris A. Ivanov , Franz G. Mertens

In type II multiferroics, noncollinear spin textures are expected to induce electric polarization directly, leading to strong magnetoelectric coupling. Realizing such spin driven multiferroicity in two-dimensional systems, and elucidating…

Crystalline symmetries have played a central role in the identification of topological materials. The use of symmetry indicators and band representations have enabled a classification scheme for crystalline topological materials, leading to…

The spin-momentum locked nature of the robust surface states of three dimensional topological insulators (3D TI) make them promising candidates for spintronics applications. Surface potentials which respect time reversal symmetry can exist…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Sthitadhi Roy , Sourin Das

Topology, as a mathematical concept, has been introduced into condensed matter physics since the discovery of quantum Hall effect, which characterizes new physical scenario beyond the Landau theory. The topologically protected physical…

Materials Science · Physics 2026-02-03 Ying Zhou , Ziwen Wang , Fan Wang , Haoshen Ye , Shuai Dong

We propose that topological spin currents flowing in topologically non-trivial magnetic textures, such as magnetic skyrmions and vortices, produce an intrinsic non-adiabatic torque of the form ${\bf T}_t\sim [(\partial_x{\bf…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Collins Ashu Akosa , Papa Birame Ndiaye , Aurélien Manchon

We propose MnBi$_{2n}$Te$_{3n+1}$ as a magnetically tunable platform for realizing various symmetry-protected higher-order topology. Its canted antiferromagnetic phase can host exotic topological surface states with a M\"obius twist that…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Rui-Xing Zhang , Fengcheng Wu , S. Das Sarma

Advanced vector imaging techniques provide us with 3D maps of magnetization fields in which topological concepts can be directly applied to describe real-space experimental textures in non-ideal geometries. Here, the 3D magnetization of a…

Magnetic bimerons are topologically nontrivial spin textures in in-plane easy-axis magnets, which can be used as particle-like information carriers. Here, we report a theoretical study on the nonreciprocal dynamics of asymmetrical…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Laichuan Shen , Jing Xia , Zehan Chen , Xiaoguang Li , Xichao Zhang , Oleg A. Tretiakov , Qiming Shao , Guoping Zhao , Xiaoxi Liu , Motohiko Ezawa , Yan Zhou

We study the two dimensional Chern insulator and spin Hall insulator on a non-orientable Riemann surface, the Mobius strip, where the usual bandstructure topological invariant is not defined. We show that while the flow pattern of edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Langtao Huang , Dung-Hai Lee

Magnetic dipolar modes (MDMs) in a quasi 2D ferrite disk are microwave energy eigenstate oscillations with topologically distinct structures of rotating fields and unidirectional power flow circulations. At the first glance, this might seem…

Classical Physics · Physics 2017-10-11 R. Joffe , E. O. Kamenetskii , R. Shavit

In this article, we unravel an intimate relationship between two seemingly unrelated concepts: elasticity, that defines the local relations between stress and strain of deformable bodies, and topology that classifies their global shape.…

Soft Condensed Matter · Physics 2019-12-25 Denis Bartolo , David Carpentier

We give a framework to describe abelian bosonic topological systems with parity symmetry on a torus in terms of the projective representation of $GL(2,\mathbb{Z})$. However, this information alone does not guarantee that we can assign…

High Energy Physics - Theory · Physics 2026-01-21 Ippo Orii

Altermagnetism has attracted considerable interest, yet its associated spintronic phenomena have so far been largely confined to electronic systems. In this work, we uncover a universal symmetry-based strategy for realizing topological…

Materials Science · Physics 2026-01-30 Bo Yuan , Yingxi Bai , Ying Dai , Baibiao Huang , Chengwang Niu

Skyrmions and other chiral spin textures have been extensively studied as potential building blocks for novel spintronic devices. Hall-resistivity anomalies that deviate from magnetization scaling, known as the topological Hall effect, have…

Strongly Correlated Electrons · Physics 2026-03-31 BoCheng Yu , JiaLiang Jiang , Jing Meng , XiaoYan Zhu , Jie Ma , HaiFeng Du , QingFeng Zhan , Jin Tang , Yang Xu , Tian Shang

Motivated by the transmission of topological surface states through atomic scale steps, we study the transport of gapless Dirac fermions on hyperbolic surfaces. We confirm that, independent of the curvature of the hyperbolae and the…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Udit Khanna , Saurabh Pradhan , Sumathi Rao