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An odd number of gapless Dirac fermions is guaranteed to exist at a surface of a strong topological insulator. We show that in a thin-film geometry and under external bias, electron-hole pairs that reside in these surface states can…

Strongly Correlated Electrons · Physics 2009-10-15 B. Seradjeh , J. E. Moore , M. Franz

Topological insulators (TIs) are characterized by possessing metallic (gapless) surface states and a finite band-gap state in the bulk. As the thickness of a TI layer decreases down to a few nanometer, hybridization between the top and…

The recent discovered antiferromagnetic topological insulators in Mn-Bi-Te family with intrinsic magnetic ordering have rapidly drawn broad interest since its cleaved surface state is believed to be gapped, hosting the unprecedented axion…

It is well established that topological insulators sustain Dirac fermion surface states as a consequence of band inversion in the bulk. These states have a helical spin polarization and a linear dispersion with large Fermi velocity. In this…

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

We study the appearance of a chiral edge mode on the two-dimensional (2D) surface of a 3D topological insulator (TI). The edge mode appears along the 1D boundary with a magnetic insulator (MI), dependent on the angle $\theta$ which the…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 C. W. J. Beenakker

The interplay between topology and crystalline symmetries in materials can lead to a variety of topological crystalline insulator (TCI) states. Despite significant effort towards their experimental realization, so far only…

Mesoscale and Nanoscale Physics · Physics 2019-11-18 Baokai Wang , Bahadur Singh , Barun Ghosh , Wei-Chi Chiu , M. Mofazzel Hosen , Qitao Zhang , Li Ying , Madhab Neupane , Amit Agarwal , Hsin Lin , Arun Bansil

Topological nodal superconductors possess gapless low energy excitations that are characterized by point or line nodal Fermi surfaces. In this work, using a coupled wire construction, we study topological nodal superconductors that have…

Strongly Correlated Electrons · Physics 2018-11-28 Moon Jip Park , Syed Raza , Matthew J. Gilbert , Jeffrey C. Y. Teo

We theoretically study subgap states appearing at the interface between two three-dimensional topological insulators which have different configurations in the spin-orbit interactions from each other. The coupling of spin…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Tetsuro Habe , Yasuhiro Asano

The interplay between topology and interactions on the edge of a two dimensional topological insulator with time reversal symmetry is studied. We consider a simple non-interacting system of three helical channels with an inherent…

Strongly Correlated Electrons · Physics 2019-02-19 Raul A. Santos , D. B. Gutman , Sam T. Carr

Since the advent of topological insulators hosting symmetry-protected Dirac surface states, efforts have been made to gap these states in a controllable way. A new route to accomplish this was opened up by the discovery of topological…

Materials Science · Physics 2015-10-14 B. M. Wojek , M. H. Berntsen , V. Jonsson , A. Szczerbakow , P. Dziawa , B. J. Kowalski , T. Story , O. Tjernberg

We study the influence of the antiferromagnetic order on the surface states of topological insulators. We derive an effective Hamiltonian for these states, taking into account the spatial structure of the antiferromagnetic order. We obtain…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 R. S. Akzyanov , A. L. Rakhmanov

In a three-dimensional strong topological insulator, gapless helical surface states appear everywhere on its surface. In the presence of a screw dislocation, gapless helical modes also appear in the vicinity of the corresponding dislocation…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Tatsuro Sakaguchi , Yositake Takane

Topological insulators are new states of matter with a bulk gap and robust gapless surface states protected by time-reversal symmetry. When time-reversal symmetry is broken, the surface states are gapped, which induces a topological…

Materials Science · Physics 2015-03-20 Weidong Luo , Xiao-Liang Qi

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

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

Topological insulators (TIs) and Weyl semimetals (WSMs) are two realizations of topological matter usually appearing separately in nature. However, they are directly related to each other via a topological phase transition. In this paper,…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Stefan Juergens , Björn Trauzettel

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

Topological insulating phases are usually found in periodic lattices stemming from collective resonant effects, and it may thus be expected that similar features may be prohibited in thermal diffusion, given its purely dissipative and…

Applied Physics · Physics 2021-07-16 Guoqiang Xu , Yihao Yang , Xue Zhou , Hongsheng Chen , Andrea Alu , Cheng-Wei Qiu
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