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We introduce a dinstint approach to engineer a topologically protected surface state of a topological insulator. By covering the surface of a topological insulator, Bi2Te2Se, with a Bi monolayer film, the original surface state is…

Topological insulators(1-8) are a novel form of matter which features metallic surface states with quasirelativistic dispersion similar to graphene(9). Unlike graphene, the locking of spin and momentum and the protection by time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 M. R. Scholz , J. Sánchez-Barriga , D. Marchenko , A. Varykhalov , A. Volykhov , L. V. Yashina , O. Rader

Topological insulators represent a new quantum state of matter that are insulating in the bulk but metallic on the edge or surface. In the Dirac surface state, it is well-established that the electron spin is locked with the crystal…

We study topological states of matter in quasicrystals, which do not rely on crystalline orders. In the absence of a bandstructure description and spin-orbit coupling, we show that a three-dimensional quasicrystal can nevertheless form a…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 Zhu-Guang Chen , Cunzhong Lou , Kaige Hu , Lih-King Lim

The topological properties of the bulk band structure of a three-dimensional topological insulator (TI) manifest themselves in the form of metallic surface states. In this paper, we propose a probe which directly couples to an exotic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sthitadhi Roy , Kush Saha , Sourin Das

Bulk Bi2Te3 is known to be a topological insulator. We investigate surface states of Bi2Te3(111) thin films using density-functional theory including spin-orbit coupling. We construct a method to unambiguously identify surface states of…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Kyungwha Park , J. J. Heremans , V. W. Scarola , Djordje Minic

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Titus Neupert , Frank Schindler

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

Topological insulators (TI) are a phase of matter that host unusual metallic states on their surfaces. Unlike the states that exist on the surface of conventional materials, these so-called topological surfaces states (TSS) are protected…

Topological insulator (TI) represents an unconventional quantum phase of matter with insulating bulk bandgap and metallic surface states. Recent theoretical calculations and photoemission spectroscopy measurements show that Group V-VI…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Desheng Kong , Wenhui Dang , Judy J. Cha , Hui Li , Stefan Meister , Hailin Peng , Zhongfan Liu , Yi Cui

Motivated by intertwined crystal symmetries and topological phases, we study the possible realization of topological insulator in nonsymmorphic crystals at integer fillings. In particular, we consider spin orbit coupled electronic systems…

Strongly Correlated Electrons · Physics 2019-05-01 Hyeok-Jun Yang , SungBin Lee

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

Superconducting topological crystalline insulators (TCI) are predicted to host new topological phases protected by crystalline symmetries, but available materials are insufficiently suitable for surface studies. To induce superconductivity…

Superconductivity · Physics 2020-01-08 Bryan Rachmilowitz , He Zhao , Hong Li , Alex LaFleur , J. Schneeloch , Ruidan Zhong , Genda Gu , Ilija Zeljkovic

While the experimental progress on three dimensional topological insulators is rapid, the development of their two dimensional counterparts has been comparatively slow, despite their technological promise. The main reason is materials…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 M. Kindermann

The interplay between topology and crystalline symmetries in materials can lead to a variety of topological crystalline insulator (TCI) states. Despite significant effort towards their experimental realization, so far only…

Mesoscale and Nanoscale Physics · Physics 2019-11-18 Baokai Wang , Bahadur Singh , Barun Ghosh , Wei-Chi Chiu , M. Mofazzel Hosen , Qitao Zhang , Li Ying , Madhab Neupane , Amit Agarwal , Hsin Lin , Arun Bansil

Topological crystalline insulators (TCI) are a new class of materials which have metallic surface states on select surfaces due to point group crystalline symmetries. In this letter, we consider a model for a three-dimensional (3D)…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Srinidhi T. Ramamurthy , Yuxuan Wang , Taylor L. Hughes

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported…

Mesoscale and Nanoscale Physics · Physics 2021-06-01 Bo Lv , Rui Chen , Rujiang Li , Chunying Guan , Bin Zhou , Guohua Dong , Chao Zhao , YiCheng Li , Ying Wang , Huibin Tao , Jinhui Shi , Dong-Hui Xu

Topological Surface States (TSS) represent new types of two dimensional electron systems with novel and unprecedented properties distinct from any quantum Hall-like or spin-Hall effects. Their Z$_2$ topological order can be realized at room…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 M. Zahid Hasan , Su-Yang Xu , David Hsieh , L. Andrew Wray , Yuqi Xia