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Topological insulators are unique devices supporting unidirectional edge states at their interfaces. Due to topological protection, such edge states persist in the presence of disorder and do not experience backscattering upon interaction…

The study of the propagation of electrons with a varying spinor orientability is performed using the coordinate transformation method. Topological Insulators are characterized by an odd number of changes of the orientability in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 D. Schmeltzer

In this work we study the possible occurrence of topological insulators for 2D fermions of high spin. They can be realized in cold fermion systems with ground-state atomic spin $F>\tfrac{1}{2}$, if the optical potential is properly…

Strongly Correlated Electrons · Physics 2018-10-31 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Masatoshi Sato

We investigate the electrostatic effects in doped topological insulators by developing a self consistent scheme for an interacting tight binding model. The presence of bulk carriers, in addition to surface electrons, generates an intrinsic…

Materials Science · Physics 2013-05-30 Dimitrios Galanakis , Tudor D. Stanescu

We study three dimensional systems where strong repulsion leads to an insulating state via spontaneously generated spin-orbit interactions. We discuss a microscopic model where the resulting state is topological. Such topological `Mott'…

Mesoscale and Nanoscale Physics · Physics 2011-06-15 Yi Zhang , Ying Ran , Ashvin Vishwanath

The emerging field of spinoptronics has a potential to supersede the functionality of modern electronics, while a proper description of strong light-matter coupling pose the most intriguing questions from both fundamental scientific and…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 D. Yudin , O. V. Kibis , I. A. Shelykh

Dirac-like surface states on surfaces of topological insulators have a chiral spin structure that suppresses back-scattering and protects the coherence of these states in the presence of non-magnetic scatterers. In contrast, magnetic…

Strongly Correlated Electrons · Physics 2012-03-13 T. Valla , Z. -H. Pan , D. R. Gardner , Y. S. Lee , S. Chu

The conducting states, recently discovered at the surface of two special class of insulators -- topological insulators and topological crystalline insulators - are distinguished by their insensitivity to local and non-magnetic surface…

Materials Science · Physics 2019-10-01 Evgeny Plekhanov , Cedric Weber

We theoretically study the topological properties of the tight-binding model on the breathing kagome lattice with antisymmetric spin-orbit coupling (SOC) between nearest neighbors. We show that the system hosts nontrivial topological phases…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Adrien Bolens , Naoto Nagaosa

Topological insulators support metallic surface states whose existence is protected by the bulk band structure. It has been predicted early that the topology of the surface state Fermi contour should depend on several factors, such as the…

Strongly Correlated Electrons · Physics 2014-08-07 Xie-Gang Zhu , Philip Hofmann

The two-dimensional electron systems in graphene and in topological insulators are described by massless Dirac equations. Although the two systems have similar Hamiltonians, they are polar opposites in terms of spin-orbit coupling strength.…

Mesoscale and Nanoscale Physics · Physics 2013-08-16 D. A. Pesin , A. H. MacDonald

We study spin conductivity of the surface states in a thin film of a topological insulator with Kubo formulas. Hybridization between the different sides of the film opens a gap at the Dirac point. We found that in the gapped region spin…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. S. Akzyanov

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

Strongly Correlated Electrons · Physics 2012-01-26 M. Zahid Hasan , Joel E. Moore

The energy-momentum relationship of electrons on the surface of an ideal "Hydrogen-Atom" Topological Insulator forms a cone - a Dirac cone, which, when warped and distorted (no longer described by the Dirac equation), can lead to unusual…

Mesoscale and Nanoscale Physics · Physics 2009-12-31 M. Z. Hasan , H. Lin , A. Bansil

Noninteracting insulating electronic states of matter can be classified according to their symmetries in terms of topological invariants which can be related to effective surface theories. These effective surface theories are in turn…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Bart de Leeuw , Carolin Küppersbusch , Vladimir Juricic , Lars Fritz

The electronic spectrum on the spherical surface of a topological insulator reflects an active property of the helical surface state that stems from a constraint on its spin on a curved surface. The induced effective vector potential (spin…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 Ken-Ichiro Imura , Yukinori Yoshimura , Yositake Takane , Takahiro Fukui

The surface bound electronic states of three-dimensional topological insulators, as well as the edge states in two-dimensional topological insulators, are investigated in the presence of a circularly polarized light. The strong coupling…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Andrii Iurov , Godfrey Gumbs , Oleksiy Roslyak , Danhong Huang

We study theoretically the optical response of the surface states of a topological insulator, especially the generation of helicity-dependent direct current by circularly polarized light. Interestingly, the dominant current, due to an…

Materials Science · Physics 2013-05-29 Pavan Hosur

Topological crystalline insulators (TCIs) possess metallic surface states protected by crystalline symmetry, which are a versatile platform for exploring topological phenomena and potential applications. However, progress in this field has…

Mesoscale and Nanoscale Physics · Physics 2017-10-17 Ying Wang , Guoyu Luo , Junwei Liu , R. Sankar , Nan-Lin Wang , Fangcheng Chou , Liang Fu , Zhiqiang Li

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony