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Antiferromagnetic skyrmion crystals are magnetic phases predicted to exist in antiferromagnets with Dzyaloshinskii-Moriya interactions. Their spatially periodic noncollinear magnetic texture gives rise to topological bulk magnon bands…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Sebastian A. Diaz , Jelena Klinovaja , Daniel Loss

It is proposed that the new generation of spintronics should be ideally massless and dissipationless for the realization of ultra-fast and ultra-low-power spintronic devices. We demonstrate that the spin-gapless materials with linear energy…

Mesoscale and Nanoscale Physics · Physics 2017-02-14 Xiao-lin Wang

We analyze the non-Hermitian Haldane model where the spin-orbit interaction is made non-Hermitian. The Dirac mass becomes complex. We propose to realize it by an $LC$ circuit with operational amplifiers. A topological phase transition is…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Motohiko Ezawa

Recent studies have shown that non-equilibrium optical systems under static electric fields offer a pathway to realize chiral gain, where the non-Hermitian response of a material is controlled by the spin angular momentum of the wave. In…

Applied Physics · Physics 2024-11-13 Filipa R. Prudêncio , Mário G. Silveirinha

We report on a non-linear scattering effect that challenges the notion of topological protection for wave packets propagating in chiral edge modes. Specifically, in a Floquet topological system close to resonant driving and with a…

Quantum Gases · Physics 2023-08-30 Benjamin Michen , Jan Carl Budich

Valleytronics has emerged as a promising paradigm, enabling comprehensive control of the valley degree of freedom (DoF) for energy-efficient and high-speed information processing. However, backscattering-induced valley depolarization…

Usually the quantum spin Hall states are expected to possess gapless, helical edge modes. Are there clean, non-interacting, quantum spin Hall states without gapless, edge modes? We show the generic, $n$-fold-symmetric, momentum planes of…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Alexander C. Tyner , Shouvik Sur , Danilo Puggioni , James M. Rondinelli , Pallab Goswami

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

Tailor-made graphene nanostructures can exhibit symmetry-protected topological boundary states that host localized spin-$1/2$ moments. However, one frequently observes charge transfer on coinage metal substrates, which results in spinless…

We demonstrate the possibility of topological states for non-Dirac electrons. Specifically it is shown that, because of the $C_{\rm 3}$ crystal symmetry and time reversal symmetry, $p_x$ and $p_y$ orbits accommodated on triangular lattice…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Qi-Feng Liang , Rui Yu , Jian Zhou , Xiao Hu

Whereas the concept of topological band-structures was developed originally for insulators with a bulk bandgap, it has become increasingly clear that the prime consequences of a non-trivial topology -- spin-momentum locking of surface…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Carmine Ortix , Jörn W. F. Venderbos , Roland Hayn , Jeroen van den Brink

The quantum anomalies at the edges correspond to the topological phases in the system, and the chiral edge states can reflect bulk bands' topological properties. In this paper, we demonstrate a simulation of Floquet system's chiral edge…

Quantum Gases · Physics 2020-08-11 Zhongcheng Yu , Jinyuan Tian , Fansu Wei , Xuzong Chen , Xiaoji Zhou

The robust transport of edge modes is perhaps the most useful property of topological materials. The existence of edge modes is guaranteed by the bulk-edge correspondence, which states that the number of topological edge modes is determined…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Mudi Wang , Qiyun Ma , Shan Liu , Ruo-Yang Zhang , Lei Zhang , Manzhu Ke , Zhengyou Liu , C. T. Chan

Quantum materials that host a flat band, such as pseudospin-1 lattices and magic-angle twisted bilayer graphene, can exhibit drastically new physical phenomena including unconventional superconductivity, orbital ferromagnetism, and Chern…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Hong-Ya Xu , Ying-Cheng Lai

Topologically protected gapless edge states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

Realization of novel topological phases in magnonic band structures represents a new opportunity for the development of spintronics and magnonics with low power consumption. In this work, we show that in antiparallelly aligned magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Zhongqiang Hu , Liang Fu , Luqiao Liu

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

We theoretically demonstrate hybrid-order topology in a two-dimensional nonsymmorphic antiferromagnet. Utilizing a generic antiferromagnetic Dirac model with a symmetry-allowed, momentum-dependent spin-density-wave (SDW) mass, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Wei Xiong , Zi-Ming Wang , Xin-Mei Wei , Rui Wang , Dong-Hui Xu

Recent research in 2-dimensional (2D) topological matter has generalized the notion of edge states from chiral to antichiral configurations with the same propagating direction at parallel edges, revealing a rich variety of robust transport…

Quantum Physics · Physics 2025-06-24 Xian-Hao Wei , Xi-Wang Luo , Mu Yang , Yu-Wei Liao , Jin-Shi Xu , Guang-Can Guo , Zheng-Wei Zhou