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We revisit the problem of surface states in semiconductors with inverted band structures, such as $\alpha$-Sn and HgTe. We unravel the confusion that arose over the past decade regarding the origin of the surface states, their topological…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Alexander Khaetskii , Vitaly Golovach , Arnold Kiefer

The opening of a band gap due to compressive uniaxial strain renders bulk HgTe a strong three-dimensional topological insulators with protected gapless surface states at any surface. By employing a six-band k.p model, we determine the spin…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Frank Kirtschig , Jeroen van den Brink , Carmine Ortix

We study the topologically non-trivial semi-metals by means of the 6-band Kane model. Existence of surface states is explicitly demonstrated by calculating the LDOS on the material surface. In the strain free condition, surface states are…

Mesoscale and Nanoscale Physics · Physics 2011-04-14 Rui-Lin Chu , Wen-Yu Shan , Jie Lu , Shun-Qing Shen

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,…

This work explores the topological phase diagram of inverted-band-gap semiconductors under strain and spin-orbit coupling. Using a minimalistic Luttinger Hamiltonian model, we follow the transitions between a 3D topological insulator, a…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Vitaly N. Golovach , Alexander Khaetskii

We report on microscopic tight-binding modeling of surface states in Bi$_2$Se$_3$ three-dimensional topological insulator, based on a sp$^3$ Slater-Koster Hamiltonian, with parameters calculated from density functional theory. The effect of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 A. Pertsova , C. M. Canali

We report transport studies on a three dimensional, 70 nm thick HgTe layer, which is strained by epitaxial growth on a CdTe substrate. The strain induces a band gap in the otherwise semi-metallic HgTe, which thus becomes a three dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 C. Brüne , C. X. Liu , E. G. Novik , E. M. Hankiewicz , H. Buhmann , Y. L. Chen , X. L. Qi , Z. X. Shen , S. C. Zhang , L. W. Molenkamp

We study how the surface states in the strong topological insulator Bi$_2$Se$_3$ are influenced by finite size effects, and compare our results with those recently obtained for 2D topological insulator HgTe. We demonstrate two important…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jacob Linder , Takehito Yokoyama , Asle Sudbø

For the IV-VI semiconductor family we derive an exact relation between the microscopic gap edge wave functions of the bulk insulator and the Dirac-Weyl topological surface state wave function, thus obtaining a fully microscopic surface…

Materials Science · Physics 2017-03-01 N. Klier , S. Sharma , O. Pankratov , S. Shallcross

Rock-salt chalcogenide SnTe represents the simplest realization of a topological insulator where a crystal symmetry allows for the appearence of topologically protected metallic states with an even number of Dirac cones on high-symmetry…

Materials Science · Physics 2013-10-09 Paolo Barone , Domenico Di Sante , Silvia Picozzi

We have investigated spin reorientation phenomena and interaction driven effects under the presence of applied strains on the (001) surface of Pb$_{1-x}$Sn$_x$(Te, Se) topological crystalline insulators, which host multiple Dirac cones. Our…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Cheng-Yi Huang , Hsin Lin , Yung Jui Wang , Arun Bansil , Wei-Feng Tsai

Topological insulators are characterized by spin-momentum-locked massless surface states which are robust under various perturbations. Manipulating such surface states is a topic of vigorous research, as a possible route for the realization…

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

Materials Science · Physics 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

We apply both analytical and ab-initio methods to explore heterostructures composed of a threedimensional topological insulator (3D TI) and an ultrathin normal insulator (NI) overlayer as a proof ground for the principles of the topological…

We present a theory of electronic properties of HgTe quantum dot and propose a strain sensor based on a strain-driven transition from a HgTe quantum dot with inverted bandstructure and robust topologically protected quantum edge states to a…

Mesoscale and Nanoscale Physics · Physics 2014-05-12 Marek Korkusinski , Pawel Hawrylak

Spin-orbit interaction affects the band structure of topological insulators beyond the opening of an inverted gap in the bulk bands, and the understanding of its effects on the surface states is of primary importance to access the…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Denny Puntel , Simone Peli , Wibke Bronsch , Federico Cilento , Hubert Ebert , Jürgen Braun , Fulvio Parmigiani

One-dimensional topological edge modes are usually studied considering the interface between two different semi infinite periodic crystals (PCs) with inverted band structure around the Dirac point. Here we consider the case where the two…

Topological surface states of Bi-doped PbSb2Te4 [Pb(Bi0.20Sb0.80)2Te4] are investigated through analyses of quasiparticle interference (QPI) patterns observed by scanning tunneling microscopy. Interpretation of the experimental QPI patterns…

Materials Science · Physics 2023-10-02 Yuya Hattori , Keisuke Sagisaka , Shunsuke Yoshizawa , Yuki Tokumoto , Keiichi Edagawa

We have investigated the band structure of the bulk crystal and the (001) surface of the \beta-InTe layered crystal subjected to biaxial stretching in the layer plane. The calculation has been carried out using the full-potential linearized…

Materials Science · Physics 2017-08-31 F. M. Hashimzade , D. A. Huseinova , Z. A. Jahangirli , N. T. Mamedov , B. H. Mehdiyev

Orbital degrees of freedom can have pronounced effects on the fundamental properties of electrons in solids. In addition to influencing bandwidths, gaps, correlation strength and dispersion, orbital effects have also been implicated in…

Mesoscale and Nanoscale Physics · Physics 2018-06-12 Daniel Walkup , Badih Assaf , Kane L Scipioni , R. Sankar , Fangcheng Chou , Guoqing Chang , Hsin Lin , Ilija Zeljkovic , Vidya Madhavan
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