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Topological phonon modes are robust vibrations localized at the edges of special structures. Their existence is determined by the bulk properties of the structures and, as such, the topological phonon modes are stable to changes occurring…

Soft Condensed Matter · Physics 2011-02-24 Nina Berg , Kira Joel , Miriam Koolyk , Emil Prodan

In principle the stacking of different two-dimensional (2D) materials allows the construction of 3D systems with entirely new electronic properties. Here we propose to realize topological crystalline insulators (TCI) protected by mirror…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Sanjib Kumar Das , Binghai Yan , Jeroen van den Brink , Ion Cosma Fulga

The surface of a topological insulator is a closed two dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two dimensional spaces. For a slab-like sample with a magnetic field perpendicular to its top…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dung-Hai Lee

In this paper, we study topological properties of 3D lattice dimer model. We demonstrate, that the dimer model on a bipartite lattice possesses topological defects, which are exactly characterized by Hopf invariant. We derive its explicit…

Statistical Mechanics · Physics 2019-07-24 Grigory Bednik

Magnetic solitons are nonlinear, local excitations in magnetic systems. In this study, we theoretically and numerically investigate the properties and generation of one-dimensional (1D) topologically trivial magnetic solitons in…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Kai-Tao Huang , X. S. Wang

We provide a topological understanding on phonon Hall effect in dielectrics with Raman spinphonon coupling. A general expression for phonon Hall conductivity is obtained in terms of the Berry curvature of band structures. We find a…

Materials Science · Physics 2011-01-28 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

Contrary to the electric charge that generates the electric field, magnetic charge (namely magnetic monopoles) does not exist in the elementary electromagnetism. Consequently, magnetic flux lines only form loops and cannot have a source or…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Wenjie Xi , Wei Ku

The surfaces of intrinsic magnetic topological insulators (TIs) host magnetic moments exchange-coupled to Dirac electrons. We study the magnetic phases arising from tuning the electron density using variational and exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2021-08-23 Nisarga Paul , Liang Fu

The long fascination antiferromagnetic materials have exerted on the scientific community over about a century has been entirely renewed recently with the discovery of several unexpected phenomena including various classes of anomalous spin…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 V. Bonbien , Fengjun Zhuo , A. Salimath , O. Ly , A. Abbout , A. Manchon

Collective dynamics of topological magnetic textures can be thought of as a massive particle moving in a magnetic pinning potential. We demonstrate that inside a cavity resonator this effective mechanical system can feel the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Igor Proskurin , Alexander S. Ovchinnikov , Jun-ichiro Kishine , Robert L. Stamps

Recently discovered materials called three-dimensional topological insulators constitute examples of symmetry protected topological states in the absence of applied magnetic fields and cryogenic temperatures. A hallmark characteristic of…

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

Ever since its discovery, the electron spin has only been measured or manipulated through the application of an electromagnetic force acting on the associated magnetic moment. In this work, we propose a spin Aharonov-Bohm effect in which…

Mesoscale and Nanoscale Physics · Physics 2010-11-05 Joseph Maciejko , Eun-Ah Kim , Xiao-Liang Qi

Topology is quickly becoming a cornerstone in our understanding of electronic systems. Like their electronic counterparts, bosonic systems can exhibit a topological band structure, but in real materials it is difficult to ascertain their…

Strongly Correlated Electrons · Physics 2019-09-04 Daniel Malz , Johannes Knolle , Andreas Nunnenkamp

One of the defining properties of the conventional three-dimensional ("$\mathbb{Z}_2$-", or "spin-orbit"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss…

Strongly Correlated Electrons · Physics 2012-06-14 Shinsei Ryu , Joel E. Moore , Andreas W. W. Ludwig

The planar topological Hall effect (PTHE), appeared when the magnetic field tended to be along the current, is believed to result from the real-space Berry curvature of the spin spiral structure and has been experimentally observed in…

Materials Science · Physics 2021-05-11 Hang Li , Bei Ding , Jie Chen , Zefang Li , Xuekui Xi , Guangheng Wu , Wenhong Wang

Topological magnon modes are expected to be useful for novel applications such as robust information propagation, since they are immune to backscattering and robust against disorder. Although there are several of theoretical proposals for…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Hong Huang , Toshikaze Kariyado , Xiao Hu

We introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call "topological crystalline magnet." It is protected by the product of the time-reversal…

Strongly Correlated Electrons · Physics 2017-03-08 Haruki Watanabe , Liang Fu

The recent years have witnessed an emergence of the field of all-spin-based devices without any flow of charge. An ultimate goal of this scientific direction is the realization of full spectrum of spin-based networks like in modern…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 E. Vedmedenko , D. Altwein

Research on high-$T_c$ superconductors has generally not focused on analysis of the topological structure of electronic bands in these materials. In this article we collate and discuss several well-known experimental observables that signal…

Superconductivity · Physics 2020-06-30 Vincent E. Sacksteder