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In insulating crystals, it was previously shown that defects with two fewer dimensions than the bulk can bind topological electronic states. We here further extend the classification of topological defect states by demonstrating that the…

介观与纳米尺度物理 · 物理学 2022-10-07 Frank Schindler , Stepan S. Tsirkin , Titus Neupert , B. Andrei Bernevig , Benjamin J. Wieder

Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

介观与纳米尺度物理 · 物理学 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

When a two-dimensional $d$-wave altermagnet is grown on a substrate, the interplay of momentum-dependent spin splittings arising from altermagnetism and Rashba spin-orbit coupling gives rise to a nodal band structure with band degeneracies…

材料科学 · 物理学 2025-09-08 Di Zhu , Dongling Liu , Zheng-Yang Zhuang , Zhigang Wu , Zhongbo Yan

We investigate the topological phases of two one-dimensional (1D) interacting superconducting wires and propose topological markers directly measurable from ground state correlation functions. These quantities remain powerful tools in the…

强关联电子 · 物理学 2023-05-03 Frederick del Pozo , Loïc Herviou , Karyn Le Hur

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…

介观与纳米尺度物理 · 物理学 2015-12-02 Akihiko Matsumoto , Takashi Arita , Yositake Takane , Yukinori Yoshimura , Ken-Ichiro Imura

We define a class of insulators with gapless surface states protected from localization due to the statistical properties of a disordered ensemble, namely due to the ensemble's invariance under a certain symmetry. We show that these…

介观与纳米尺度物理 · 物理学 2014-04-23 I. C. Fulga , B. van Heck , J. M. Edge , A. R. Akhmerov

We report ab initio calculations showing that a single one-dimensional extended defect can originate topologically-protected metallic states in the bulk of two-dimensional topological insulators. We find that a narrow extended defect…

材料科学 · 物理学 2016-08-24 E. N. Lima , T. M. Schmidt , R. W. Nunes

We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the…

量子气体 · 物理学 2021-05-21 Bernhard Irsigler , Jun-Hui Zheng , Fabian Grusdt , Walter Hofstetter

Topological insulators are frequently also one of the best known thermoelectric materials. It has been recently discovered that in 3D topological insulators each skew dislocation can host a pair of 1D topological states a helical TLL. We…

强关联电子 · 物理学 2020-06-03 P. Chudzinski

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs…

介观与纳米尺度物理 · 物理学 2026-02-18 Bastien Lapierre , Titus Neupert , Luka Trifunovic

We study theoretically the role of topological invariants to protect the Majorana fermions in a model of two-dimensional chiral superconductors which belong to class D of topological periodic table. A rich phase diagram is revealed. Each…

介观与纳米尺度物理 · 物理学 2012-09-25 Daichi Asahi , Naoto Nagaosa

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

材料科学 · 物理学 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

强关联电子 · 物理学 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

Usually $Z_2$ topological insulators are protected by time reversal symmetry. Here, we present a new type of $Z_2$ topological insulators in a cubic lattice which is protected by a novel hidden symmetry, while time reversal symmetry is…

介观与纳米尺度物理 · 物理学 2017-12-07 Jing-Min Hou , Wei Chen

We present a class of three dimensional (3D) two-band Floquet topological insulators constructed from two-dimensional Floquet topological insulators with a $Z$ topological index. It is shown that the 3D two-band Floquet topological…

介观与纳米尺度物理 · 物理学 2019-02-18 Yan He , Chih-Chun Chien

The properties of topological systems are inherently tied to their dimensionality. Higher-dimensional physical systems exhibit topological properties not shared by their lower dimensional counterparts and, in general, offer richer physics.…

介观与纳米尺度物理 · 物理学 2019-12-16 Kai Chen , Matthew Weiner , Mengyao Li , Xiang Ni , Andrea Alù , Alexander B. Khanikaev

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

We investigate a tight-binding model of the octahedron-decorated cubic lattice with spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z_2 topological indices. According to the Z_2 topological indices and…

强关联电子 · 物理学 2015-05-27 Jing-Min Hou , Wen-Xin Zhang , Guo-Xiang Wang

We introduce a coupled-layer construction to describe three-dimensional topological crystalline insulators protected by reflection symmetry. Our approach uses stacks of weakly-coupled two-dimensional Chern insulators to produce topological…

介观与纳米尺度物理 · 物理学 2016-09-27 I. C. Fulga , N. Avraham , H. Beidenkopf , A. Stern

Three-dimensional topological (crystalline) insulators are materials with an insulating bulk, but conducting surface states which are topologically protected by time-reversal (or spatial) symmetries. Here, we extend the notion of…

介观与纳米尺度物理 · 物理学 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert