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We have investigated the nature of surface states in the Bi2Te3 family of three-dimensional topological insulators using first-principles calculations as well as model Hamiltonians. When the surface Dirac cone is warped due to Dresselhaus…

Mesoscale and Nanoscale Physics · Physics 2012-06-15 Susmita Basak , Hsin Lin , L. A. Wray , S. -Y. Xu , L. Fu , M. Z. Hasan , A. Bansil

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

Superconductivity · Physics 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

Topological insulators are new states of quantum matter with surface states protected by the time-reversal symmetry. In this work, we perform first-principle electronic structure calculations for $Sb_2Te_3$, $Sb_2Se_3$, $Bi_2Te_3$ and…

Mesoscale and Nanoscale Physics · Physics 2008-12-10 Haijun Zhang , Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

Tuning the spin-orbit coupling strength via foreign element doping and/or modifying bonding strength via strain engineering are the major routes to convert normal insulators to topological insulators. We here propose an alternative strategy…

Materials Science · Physics 2015-11-19 Wu-Jun Shi , Junwei Liu , Yong Xu , Shi-Jie Xiong , Jian Wu , Wenhui Duan

3D topological insulators are a new state of quantum matter which exhibits both a bulk band structure with an insulating energy gap as well as metallic spin-polarized Dirac fermion states when interfaced with a topologically trivial…

The newly discovered topological crystalline insulators (TCIs) harbor a complex band structure involving multiple Dirac cones. These materials are potentially highly tunable by external electric field, temperature or strain and could find…

Based on the first-principles calculations, we reveal that TlN, a simple binary compound with Wurtzite structure, is a three-dimensional (3D) topological insulator (TI) with effectively negative spin-orbit coupling $\lambda_{eff} < 0$,…

Materials Science · Physics 2015-01-14 Xian-Lei Sheng , Zhijun Wang , Rui Yu , Hongming Weng , Zhong Fang , Xi Dai

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…

Plasmons are the quantized collective oscillations of electrons in metals and doped semiconductors. The plasmons of ordinary, massive electrons are since a long time basic ingredients of research in plasmonics and in optical metamaterials.…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 P. Di Pietro , M. Ortolani , O. Limaj , A. Di Gaspare , V. Giliberti , F. Giorgianni , M. Brahlek , N. Bansal , N. Koirala , S. Oh , P. Calvani , S. Lupi

We introduce exotic gapless states---`composite Dirac liquids'---that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator. Composite Dirac liquids exhibit a gap to all charge excitations but…

Strongly Correlated Electrons · Physics 2015-03-02 David F. Mross , Andrew Essin , Jason Alicea

The three-dimensional topological insulator (originally called "topological insulators") is the first example in nature of a topologically ordered electronic phase existing in three dimensions that cannot be reduced to multiple copies of…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 M. Zahid Hasan , David Hsieh , Yuqi Xia , L. Andrew Wray , Su-Yang Xu , Charles L. Kane

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

In this tutorial, we pedagogically review recent developments in the field of non-interacting fermionic phases of matter, focussing on the low energy description of higher-order topological insulators in terms of the Dirac equation. Our aim…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Frank Schindler

Electrons hopping on the sites of a three-dimensional pyrochlore lattice are shown to form topologically non-trivial insulating phases when the spin-orbit (SO) coupling and lattice distortions are present. Of 16 possible topological classes…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 H. -M. Guo , M. Franz

Relativistic spin-orbit coupling plays an essential role in the field of topological insulators and quantum spintronics. It gives rise to the topological non-trivial band structure and enables electric manipulation of the spin degree of…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Chao-Xing Liu , Shou-Cheng Zhang

We theoretically investigate a three-dimensional Fermi gas with Rashba spin-orbit coupling in the presence of both out-of-plane and in-plane Zeeman fields. We show that, driven by a sufficiently large Zeeman field, either out-of-plane or…

Quantum Gases · Physics 2015-04-13 Xia-Ji Liu , Hui Hu , Han Pu

Topological order can be found in a wide range of physical systems, from crystalline solids, photonic meta-materials and even atmospheric waves to optomechanic, acoustic and atomic systems. Topological systems are a robust foundation for…

Quantum Gases · Physics 2023-07-04 A. Valdés-Curiel , D. Trypogeorgos , Q. -Y. Liang , R. P. Anderson , I. B. Spielman

The combination of superconductivity and spin-momentum locking at the interface between an s-wave superconductor and a three-dimensional topological insulator (3D-TI) is predicted to generate exotic p-wave topological superconducting phases…

Mesoscale and Nanoscale Physics · Physics 2019-11-19 Abhishek Banerjee , Ananthesh Sundaresh , R. Ganesan , P. S. Anil Kumar