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Young and Kane have given a great insight for 2D Dirac semimetals with nontrivial topology in the presence of nonsymmorphic crystalline symmetry. Based on one of 2D nonsymmorphic square lattice structures they proposed, we further construct…

Materials Science · Physics 2019-05-22 Pok-Man Chiu , Cheng-Yi Huang , Wan-Ju Li , Ting-Kuo Lee

In $strong$ topological insulators protected surface states are always manifest, while in $weak$ topological insulators (WTI) the corresponding metallic surface states are either manifest or hidden, depending on the orientation of the…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 Akihiko Matsumoto , Takashi Arita , Yositake Takane , Yukinori Yoshimura , Ken-Ichiro Imura

This work explores the topological phase diagram of inverted-band-gap semiconductors under strain and spin-orbit coupling. Using a minimalistic Luttinger Hamiltonian model, we follow the transitions between a 3D topological insulator, a…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Vitaly N. Golovach , Alexander Khaetskii

Nanowires (NWs) of topological materials are emerging as an exciting platform to probe and engineer new quantum phenomena that are hard to access in bulk phase. Their quasi-one-dimensional geometry and large surface-to-bulk ratio unlock new…

In rare-earth monopnictides like NdBi, the interplay between magnetism and topology results in an extremely unusual topological semimetal phase which simultaneously hosts Weyl points with Fermi arcs as well as massive and massless Dirac…

Dual topological insulators (DTIs) are simultaneously protected by time-reversal and crystal symmetries, representing advantageous alternatives to conventional topological insulators. By combining ab initio calculations and the…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Warlley H. Campos , Poliana H. Penteado , Julian Zanon , Paulo E. Faria Junior , Denis R. Candido , J. Carlos Egues

Topological materials with both insulating and semimetal phases can be protected by crystalline (e.g. mirror) symmetry. The insulating phase, called topological crystalline insulator (TCI), has been intensively investigated and observed in…

Based on the first-principles calculations, we reveal that TlN, a simple binary compound with Wurtzite structure, is a three-dimensional (3D) topological insulator (TI) with effectively negative spin-orbit coupling $\lambda_{eff} < 0$,…

Materials Science · Physics 2015-01-14 Xian-Lei Sheng , Zhijun Wang , Rui Yu , Hongming Weng , Zhong Fang , Xi Dai

We propose a simple realization of the three-dimensional (3D) Weyl semimetal phase, utilizing a multilayer structure, composed of identical thin films of a magnetically-doped 3D topological insulator (TI), separated by ordinary-insulator…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , Leon Balents

Two-dimensional (2D) topological insulators (TIs), a new state of quantum matter, are promising for achieving the low-power-consuming electronic devices owning to the remarkable robustness of their conducting edge states against…

Materials Science · Physics 2016-11-15 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

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

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

Weak topological insulators, constructed by stacking quantum spin Hall insulators with weak interlayer coupling, offer promising quantum electronic applications through topologically nontrivial edge channels. However, the currently…

We predict a new family of robust two-dimensional (2D) topological insulators in van der Waals heterostructures comprising graphene and chalcogenides BiTeX (X=Cl, Br and I). The layered structures of both constituent materials produce a…

Materials Science · Physics 2014-12-25 Liangzhi Kou , Shu-Chun Wu , Claudia Felser , Thomas Frauenheim , Changfeng Chen , Binghai Yan

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…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

We discuss dynamic spin susceptibility (DSS) in two-dimensional (2D) Dirac electrons with spin-orbit interactions to characterize topological insulators. The imaginary part of the DSS appears as an absorption rate in response to a…

Strongly Correlated Electrons · Physics 2016-08-31 Masaaki Nakamura , Akiyuki Tokuno

Van der Waals heterostructures have been used to tailor atomic layers into various artificial materials through interactions at heterointerfaces. The interplay between the band gap created by the band folding of the interfacial potential…

The three dimensional (3D) topological insulators are predicted to exhibit a 3D Dirac semimetal state in critical regime of topological to trivial phase transition. Here we demonstrate the first experimental evidence of 3D Dirac semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Devendra Kumar , Archana Lakhani

We present a series of models of three-dimensional rotation-symmetric fragile topological insulators in class AI (time-reversal symmetric and spin-orbit-free systems), which have gapless surface states protected by time-reversal ($T$) and…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Shingo Kobayashi , Akira Furusaki

Topological materials have attracted considerable experimental and theoretical attention. They exhibit strong spin-orbit coupling both in the band structure (intrinsic) and in the impurity potentials (extrinsic), although the latter is…

Mesoscale and Nanoscale Physics · Physics 2017-08-17 Weizhe Edward Liu , Ewelina M. Hankiewicz , Dimitrie Culcer
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