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Topological insulators as new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states which are protected by time-reversal symmetry. We propose the interference patterns caused…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Jing Wang , Bang-Fen Zhu

Topological phases, especially topological crystalline insulators (TCIs), have been intensively explored observed experimentally in three-dimensional (3D) materials. However, the two-dimensional (2D) films are explored much less than 3D…

Materials Science · Physics 2017-11-22 Yi-zhen Jia , Wei-xiao Ji , Chang-wen Zhang , Ping Li , Shu-feng Zhang , Pei-ji Wang , Sheng-shi Li , Shi-shen Yan

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

Correlated topological materials often maintain a delicate balance among physical symmetries: many topological orders are symmetry protected, while most correlated phenomena arise from spontaneous symmetry breaking. It is rare to find cases…

We consider an interface between two strong time-reversal invariant topological insulators having surface states with opposite spin chirality, or equivalently, opposite mirror Chern number. We show that such an interface supports gapless…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Christophe De Beule , Rolando Saniz , Bart Partoens

Recent formal classifications of crystalline topological insulators predict that the combination of time-reversal and rotational symmetry gives rise to topological invariants beyond the ones known for other lattice symmetries. Although the…

Strongly Correlated Electrons · Physics 2021-12-01 Jans Henke , Mert Kurttutan , Jorrit Kruthoff , Jasper van Wezel

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

Topological materials in crystal solids, including topological insulators (TIs), topological crystalline insulators (TCIs), topological Dirac semimetals (DSMs), topological Weyl semimetals (WSMs), topological Dirac or Weyl nodal line…

Materials Science · Physics 2017-05-05 Xing-Qiu Chen

Topological insulator is a new state of matter which exhibits exotic surface electronic properties. Determining the spin texture of this class of material is of paramount importance for understanding its topological order and can lead to…

Strongly Correlated Electrons · Physics 2016-09-21 Debabrata Sinha

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…

Mesoscale and Nanoscale Physics · Physics 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

Gapless Dirac surface states are protected at the interface of topological and normal band insulators. In a binary superlattice bearing such interfaces, we establish that valley-dependent dimerization of symmetry-unrelated Dirac surface…

Materials Science · Physics 2014-10-31 Xiao Li , Fan Zhang , Qian Niu , Ji Feng

The recent discovery of topological insulators with exotic metallic surface states has garnered great interest in the fields of condensed matter physics and materials science. A number of spectacular quantum phenomena have been predicted…

Materials Science · Physics 2011-01-07 Wanxiang Feng , Jun Ding , Di Xiao , Yugui Yao

Topology is routinely used to understand the physics of electronic insulators. However, for strongly interacting electronic matter, such as Mott insulators, a comprehensive topological characterization is still lacking. When their ground…

Strongly Correlated Electrons · Physics 2024-08-28 Martina O. Soldini , Ömer M. Aksoy , Titus Neupert

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…

We develop a lattice model which exhibits topological transitions from $Z_2$ topological insulators to mirror symmetry-protected topological crystalline insulators by introducing additional spin-orbit coupling terms. The topological phase…

Quantum Gases · Physics 2025-05-29 Jing-Xin Liu , Jian-Te Wang , Shi-Liang Zhu

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…

Mesoscale and Nanoscale Physics · Physics 2016-09-27 I. C. Fulga , N. Avraham , H. Beidenkopf , A. Stern

Topological insulators materialize a topological quantum state of matter where unusual gapless metallic state protected by time-reversal symmetry appears at the edge or surface. Their discovery stimulated the search for new topological…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Y. Tanaka , Zhi Ren , T. Sato , K. Nakayama , S. Souma , T. Takahashi , Kouji Segawa , Yoichi Ando

Topological phases are characterised by a topological invariant that remains unchanged by deformations in the Hamiltonian. Materials exhibiting topological phases include topological insulators, superconductors exhibiting strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-07-08 Dimitrie Culcer , Attila Geresdi

Topological insulators are a class of band insulators with non-trivial topology, a result of band inversion due to the strong spin-orbit coupling. The transition between topological and normal insulator can be realized by tuning the…

Strongly Correlated Electrons · Physics 2018-03-29 Wenhan Zhang , M. X. Chen , Jixia Dai , Xueyun Wang , Zhicheng Zhong , Sang-Wook Cheong , Weida Wu

Gapless surface states of time reversal invariant topological insulators are protected by the anti-unitary nature of the time reversal operation. Very recently, this idea was generalized to magnetic structures, in which time reversal…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 Rui-Xing Zhang , Chao-Xing Liu
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