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The presence of Rashba-like surface states (RSS) in the electronic structure of topological insulators (TIs) has been a longstanding topic of interest due to their significant impact on electronic and spin structures. In this study, we…

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

Strongly Correlated Electrons · Physics 2013-01-04 Ari M. Turner , Ashvin Vishwanath

We study the properties of the surface states in three-dimensional topological insulators in the presence of a ferromagnetic exchange field. We demonstrate that for layered materials like Bi$_2$Se$_3$ the surface states on the top surface…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Tomi Paananen , Henning Gerber , Matthias Götte , Thomas Dahm

Topological insulators are a class of solids in which the nontrivial inverted bulk band structure gives rise to metallic surface states that are robust against impurity scattering. In three-dimensional (3D) topological insulators, however,…

We demonstrate the possibility of topological states for non-Dirac electrons. Specifically it is shown that, because of the $C_{\rm 3}$ crystal symmetry and time reversal symmetry, $p_x$ and $p_y$ orbits accommodated on triangular lattice…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Qi-Feng Liang , Rui Yu , Jian Zhou , Xiao Hu

Although, the long-standing debate on the resistivity anomaly in ZrTe$_{5}$ somewhat comes to an end, the exact topological nature of the electronic band structure remains elusive till today. Theoretical calculations predicted that bulk…

Materials Science · Physics 2017-01-10 Arnab Pariari , Prabhat Mandal

In non-magnetic bulk materials, inversion symmetry protects the spin degeneracy. If the bulk crystal structure lacks a centre of inversion, however, spin-orbit interactions lift the spin degeneracy, leading to a Rashba metal whose Fermi…

Single-Dirac-cone topological insulators (TI) are the first experimentally discovered class of three dimensional topologically ordered electronic systems, and feature robust, massless spin-helical conducting surface states that appear at…

We construct a model for interacting electrons with strong spin orbit coupling in the pyrochlore iridates. We establish the importance of the direct hopping process between the Ir atoms and use the relative strength of the direct and…

Strongly Correlated Electrons · Physics 2012-02-02 William Witczak-Krempa , Yong Baek Kim

The concept of a topological Kondo insulator (TKI) has been brought forward as a new class of topological insulators in which non-trivial surface states reside in the bulk Kondo band gap at low temperature due to the strong spin-orbit…

We study the effects of strong electron-electron interactions on the surface of cubic topological Kondo insulators (such as samarium hexaboride, SmB$_6$). Cubic topological Kondo insulators generally support three copies of massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Bitan Roy , Johannes Hofmann , Valentin Stanev , Jay D. Sau , Victor Galitski

We investigate the influence of spin-orbit coupling in a non-centrosymmetric superconductor on its ground state properties near a surface. We determine the spectrum of Andreev bound states due to surface-induced mixing of bands with…

Superconductivity · Physics 2008-10-31 A. B. Vorontsov , I. Vekhter , M. Eschrig

Whereas the concept of topological band-structures was developed originally for insulators with a bulk bandgap, it has become increasingly clear that the prime consequences of a non-trivial topology -- spin-momentum locking of surface…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Carmine Ortix , Jörn W. F. Venderbos , Roland Hayn , Jeroen van den Brink

Topological surface states, a new kind of electronic state of matter, have recently been observed on the cleaved surfaces of crystals of a handful of small band gap semiconductors. The underlying chemical factors that enable these states…

Materials Science · Physics 2013-07-19 R. J. Cava , Huiwen Ji , M. K. Fuccillo , Q. D. Gibson , Y. S. Hor

Spin torques at topological insulator (TI)/ferromagnet interfaces have received considerable attention in recent years with a view towards achieving full electrical manipulation of magnetic degrees of freedom. The most important question in…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 James H. Cullen , Rhonald Burgos Atencia , Dimitrie Culcer

One of the most important properties of topological insulators (TIs) is the helical spin texture of the Dirac surface states, which has been theoretically and experimentally argued to be left-handed helical above the Dirac point and right…

Strongly Correlated Electrons · Physics 2012-11-27 Y. Cao , J. A. Waugh , N. C. Plumb , T. J. Reber , S. Parham , G. Landolt , Z. Xu , A. Yang , J. Schneeloch , G. Gu , J. H. Dil , D. S. Dessau

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on the chiral edge of a Chern insulator and the sudden disappearance of surface states forming open Fermi arcs…

Mesoscale and Nanoscale Physics · Physics 2017-09-08 Flore K. Kunst , Maximilian Trescher , Emil J. Bergholtz

Recent interest in topological semimetals has lead to the proposal of many new topological phases that can be realized in real materials. Next to Dirac and Weyl systems, these include more exotic phases based on manifold band degeneracies…

We have investigated the bulk and surface electronic structures and band topology of TlBiS$_2$ as a function of strain and electric field using \textit{ab-initio} calculations. In its pristine form, TlBiS$_2$ is a normal insulator, which…

Mesoscale and Nanoscale Physics · Physics 2014-07-18 Bahadur Singh , Hsin Lin , R. Prasad , A. Bansil

The interplay between magnetism and non-trivial topology in magnetic topological insulators (MTI) is expected to give rise to a variety of exotic topological quantum phenomena, such as the quantum anomalous Hall (QAH) effect and the…