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We highlight the fact that two-dimensional materials with Dirac-like low energy band structures and spin-orbit coupling will produce linearly dispersing topologically protected Jackiw-Rebbi modes at interfaces where the Dirac mass changes…

介观与纳米尺度物理 · 物理学 2014-11-11 D. S. L. Abergel , Jonathan M. Edge , Alexander V. Balatsky

We study finite-size-induced topological phenomena in unconventional superconductors. Specifically, we focus on a thin film with a persistent spin texture, fabricated on a high-$T_{\text{c}}$ cuprate $d_{xy}$-wave superconductors. In…

超导电性 · 物理学 2025-04-10 Satoshi Ikegaya , Shingo Kobayashi , Yasuhiro Asano

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

介观与纳米尺度物理 · 物理学 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

Odd numbers of Dirac points and helical states can exist at edges (surfaces) of two-dimensional (three-dimensional) topological insulators. In the bulk of a one-dimensional lattice (not an edge) with time reversal symmetry, however, a no-go…

介观与纳米尺度物理 · 物理学 2013-05-24 Sheng-Nan Ji , Bang-Fen Zhu , Ren-Bao Liu

Topological phases arise from the elegant mathematical structures imposed by the interplay between symmetry and topology1-5. From gapped topological insulators to gapless semimetals, topological materials in both quantum and classical…

We study the topologically non-trivial semi-metals by means of the 6-band Kane model. Existence of surface states is explicitly demonstrated by calculating the LDOS on the material surface. In the strain free condition, surface states are…

介观与纳米尺度物理 · 物理学 2011-04-14 Rui-Lin Chu , Wen-Yu Shan , Jie Lu , Shun-Qing Shen

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy…

强关联电子 · 物理学 2009-11-13 Dung-Hai Lee , Guang-Ming Zhang , Tao Xiang

Topological insulators are a recently discovered class of materials with fascinating properties: While the inside of the solid is insulating, fundamental symmetry considerations require the surfaces to be metallic. The metallic surface…

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

介观与纳米尺度物理 · 物理学 2016-03-23 Takashi Arita , Yositake Takane

Quite recently a novel variety of unconventional fourfold linear band degeneracy points has been discovered in certain condensed-matter systems. Contrary to the standard 3-D Dirac monopoles, these quadruple points referred to as the…

光学 · 物理学 2019-12-17 Mengying Hu , Kun Ding , Tong Qiao , Xi Jiang , Qiang Wang , Shining Zhu , Hui Liu

Conventional topological superconductors are fully gapped in the bulk but host gapless Majorana modes on their boundaries. We instead focus on a new class of superconductors, second-order topological superconductors, that have gapped,…

超导电性 · 物理学 2018-11-09 Yuxuan Wang , Mao Lin , Taylor L. Hughes

Two-dimensional (2D) metallic altermagnets present exciting opportunities for both fundamental research and practical innovations. Their ability to enhance tunneling magnetoresistance in magnetic tunnel junctions, combined with the direct…

介观与纳米尺度物理 · 物理学 2026-02-24 Raghottam M. Sattigeri , Xujia Gong , Amar Fakhredine , Carmine Autieri , Giuseppe Cuono

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…

数学物理 · 物理学 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

Discovering new topological phases of matter is a major theme in fundamental physics and materials science. Dirac semimetal provides an exceptional platform for exploring topological phase transitions under symmetry breaking. Recent…

其他凝聚态物理 · 物理学 2021-10-04 Huahui Qiu , Meng Xiao , Fan Zhang , Chunyin Qiu

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…

介观与纳米尺度物理 · 物理学 2017-02-14 Xiao-lin Wang

We study the nature of edge states in extrinsically and spontaneously dimerized states of two-dimensional spin-1/2 antiferromagnets, by performing quantum Monte Carlo simulation. We show that a gapless edge mode emerges in the wide region…

强关联电子 · 物理学 2012-12-20 Takafumi Suzuki , Masahiro Sato

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

强关联电子 · 物理学 2026-05-21 Yuxuan Guo , Yuto Ashida

Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana…

Currently, there is a flurry of research interest on materials with an unconventional electronic structure, and we have already seen significant progress in their understanding and engineering towards real-life applications. The interest…

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…