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Bi$_{2}$Se$_{3}$ is a topological insulator whose unique properties result from topological surface states (TSS) in the band gap. Low energy ion scattering can determine the properties of the outermost few atomic layers of a solid. The…

Mesoscale and Nanoscale Physics · Physics 2018-11-20 Weimin Zhou , Haoshan Zhu , Jory A. Yarmoff

The electron scattering from periodic line defects on the surface of topological insulators with hexagonal warping effect is investigated theoretically by means of a transfer matrix method. The influence of surface line defects, acting as…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 H. Dehnavi , A. A. Masoudi , M. Saadat , H. Ghadiri , A. Saffarzadeh

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

There are two prominent applications of the mathematical concept of topology to the physics of materials: band topology, which classifies different topological insulators and semimetals, and topological defects that represent immutable…

Materials Science · Physics 2022-08-11 Zhi-Kang Lin , Qiang Wang , Yang Liu , Haoran Xue , Baile Zhang , Yidong Chong , Jian-Hua Jiang

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…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert

We have performed scanning tunneling microscopy and differential tunneling conductance ($dI/dV$) mapping for the surface of the three dimensional topological insulator Bi$_{2}$Se$_{3}$. The fast Fourier transformation applied to the $dI/dV$…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Sunghun Kim , M. Ye , K. Kuroda , Y. Yamada , E. E. Krasovskii , E. V. Chulkov , K. Miyamoto , M. Nakatake , T. Okuda , Y. Ueda , K. Shimada , H. Namatame , M. Taniguchi , A. Kimura

Topological crystalline insulators are new states of matter in which the topological nature of electronic structures arises from crystal symmetries. Here we predict the first material realization of topological crystalline insulator in the…

Materials Science · Physics 2012-08-01 Timothy H. Hsieh , Hsin Lin , Junwei Liu , Wenhui Duan , Arun Bansil , Liang Fu

The lifetime of electrons on edge states of a two-dimensional topological insulator against the background of an allowed two-dimensional band has been determined. It has been shown that this time in the case of scattering on Coulomb…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 M. M. Mahmoodian , M. V. Entin

Lattice defects such as stacking faults may obscure electronic topological features of real materials. In fact, defects are a source of disorder that can enhance the density of states and conductivity of the bulk of the system and they…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Gabriele Naselli , Viktor Könye , Sanjib Kumar Das , G. G. N. Angilella , Anna Isaeva , Jeroen van den Brink , Cosma Fulga

The zero gap surface states of a 3D-topological insulator host highly mobile Dirac fermions with spin locked to the momentum. The high mobility attributed to absence of back scattering is reduced in presence of impurities on the surface. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Parijat Sengupta , Enrico Bellotti

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

Gapless surface states that are protected by time reversal symmetry and charge conservation are among the manifestations of 3D topological insulators. In this work we study how electron-electron interaction may lead to spontaneous breaking…

Strongly Correlated Electrons · Physics 2012-06-07 Yuval Baum , Ady Stern

Topological insulators are new class of quantum materials, which have insulating energy gaps in bulk, but exhibit gapless edge states or surface states that are protected by time-reversal symmetry at boundary. It was theoretically predicted…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 G. H. Cao , H. J. Liu , J. H. Liang , L. Cheng , D. D. Fan , Z. Y. Zhang

Topological insulators are a recently discovered class of materials with fascinating properties: While the inside of the solid is insulating, fundamental symmetry considerations require the surfaces to be metallic. The metallic surface…

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topological order. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators…

Topological insulators represent novel phases of quantum matter with an insulating bulk gap and gapless edges or surface states. The two-dimensional topological insulator phase was predicted in HgTe quantum wells and confirmed by transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Hailin Peng , Keji Lai , Desheng Kong , Stefan Meister , Yulin Chen , Xiao-Liang Qi , Shou-Cheng Zhang , Zhi-Xun Shen , Yi Cui

Topological insulators in the Bi$_2$Se$_3$ family manifest helical Dirac surface states that span the topologically ordered bulk band gap. Recent scanning tunneling microscopy measurements have discovered additional states in the bulk band…

Materials Science · Physics 2018-08-01 Yishuai Xu , Guodong Jiang , Janet Chiu , Lin Miao , Erica Kotta , Yutan Zhang , Rudro R. Biswas , L. Andrew Wray

Despite topological protection and the absence of magnetic impurities, two-dimensional topological insulators display quantized conductance only in surprisingly short channels, which can be as short as 100 nm for atomically thin materials.…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Pietro Novelli , Fabio Taddei , Andre K. Geim , Marco Polini

Phase-change materials are ubiquitous in technology because of their ability to transition between amorphous and crystalline phases fast and reversibly, upon shining light or passing a current. Here we argue that to fully understand their…

Mesoscale and Nanoscale Physics · Physics 2023-02-02 Quentin Marsal , Dániel Varjas , Adolfo G. Grushin

Topological insulators are a new class of materials which have gapped spectra in the bulk, but are accompanied by topologically protected gapless excitations at the surface (edge) of the system. These phenomena have a close relationship…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Taro Kimura