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Topological insulators are typically characterized by particularly stable properties, such as global invariants, and can be identified by probing their robust surface states. A recently discovered novel form of band topology, delicate…

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

介观与纳米尺度物理 · 物理学 2021-05-04 Ana Silva , Jasper van Wezel

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

介观与纳米尺度物理 · 物理学 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

We consider periodically driven potential impurities coupled to the surface states of a two-dimensional topological insulator. The problem is addressed by means of two models, out which the first model is an effective continuum Hamiltonian…

强关联电子 · 物理学 2019-10-02 Saurabh Pradhan , Jonas Fransson

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

介观与纳米尺度物理 · 物理学 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

We consider the effects of impurities on topological insulators and superconductors. We start by identifying the general conditions under which the eigenenergies of an arbitrary Hamiltonian H belonging to one of the Altland-Zirnbauer…

介观与纳米尺度物理 · 物理学 2016-01-27 Lukas Kimme , Timo Hyart

In the research of the topological band phases, the conventional wisdom is to start from the crystalline translational symmetry systems. Nevertheless, the translational symmetry is not always a necessary condition for the energy bands. Here…

无序系统与神经网络 · 物理学 2025-12-03 Shuo Wang , Jing-Run Lin , Zheng-Wei Zuo

The systematic diagnosis of band topology enabled by the method of "symmetry indicators" underlies the recent advances in the search for new materials realizing topological crystalline insulators. Such an efficient method has been missing…

超导电性 · 物理学 2019-08-23 Seishiro Ono , Youichi Yanase , Haruki Watanabe

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

介观与纳米尺度物理 · 物理学 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

A topological boundary can be formed at the interface between a trivial and a topological insulator. The difference in the topological index across the junction leads to robust gapless surface states. Optical studies of these states are…

介观与纳米尺度物理 · 物理学 2018-08-29 A. Diaz-Fernandez , N. del Valle , E. Diaz , F. Dominguez-Adame

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

介观与纳米尺度物理 · 物理学 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

Strongly correlated analogues of topological insulators have been explored in systems with purely on-site symmetries, such as time-reversal or charge conservation. Here, we use recently developed tensor network tools to study a quantum…

强关联电子 · 物理学 2015-11-11 Brayden Ware , Itamar Kimchi , S. A. Parameswaran , Bela Bauer

A number of recent articles have reported the existence of topologically non-trivial states and associated end states in one-dimensional incommensurate lattice models that would usually only be expected in higher dimensions. Using an…

介观与纳米尺度物理 · 物理学 2013-09-12 Kevin A. Madsen , Emil J. Bergholtz , Piet W. Brouwer

Ternary semiconducting or metallic half-Heusler compounds with an atomic composition 1:1:1 are widely studied for their flexible electronic properties and functionalities. Recently, a new material property of half-Heusler compounds was…

材料科学 · 物理学 2014-10-28 Binghai Yan , Anne de Visser

An electron moving in a magnetically ordered background feels an effective magnetic field that can be both stronger and more rapidly varying than typical externally applied fields. One consequence is that insulating magnetic materials in…

介观与纳米尺度物理 · 物理学 2009-11-13 Joel E. Moore , Ying Ran , Xiao-Gang Wen

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

材料科学 · 物理学 2011-03-15 Liang Fu

We show that a tetragonal lattice of weakly interacting cavities with uniaxial electromagnetic response is the photonic counterpart of topological crystalline insulators, a new topological phase of atomic band insulators. Namely, the…

强关联电子 · 物理学 2015-06-03 Vassilios Yannopapas

Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band structure in a four- (or higher-)dimensional momentum space.…

介观与纳米尺度物理 · 物理学 2023-01-10 David M. Urwyler , Patrick M. Lenggenhager , Igor Boettcher , Ronny Thomale , Titus Neupert , Tomáš Bzdušek

We present theoretical and experimental results exploring a half-Heusler compound TmPdSb with unusual band order and metallic surface states. Typically, the half-Heusler systems exhibit topological features in a semimetallic state, and…

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