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Weyl and Dirac (semi)metals in three dimensions have robust gapless electronic band structures. Their massless single-body energy spectra are protected by symmetries such as lattice translation, (screw) rotation and time reversal. In this…

Strongly Correlated Electrons · Physics 2019-03-06 Syed Raza , Alexander Sirota , Jeffrey C. Y. Teo

HgTe quantum wells and surfaces of three-dimensional topological insulators support Dirac fermions with a single-valley band dispersion. In the presence of disorder they experience weak antilocalization, which has been observed in recent…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 G. Tkachov , E. M. Hankiewicz

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Motohiko Ezawa

We analyze the four-dimensional Hamiltonian proposed to describe the band structure of the single-Dirac-cone family of topological insulators in the presence of a uniform perpendicular magnetic field. Surface Landau level(LL) states appear,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Zhihua Yang , Jung Hoon Han

We predict a new family of robust two-dimensional (2D) topological insulators in van der Waals heterostructures comprising graphene and chalcogenides BiTeX (X=Cl, Br and I). The layered structures of both constituent materials produce a…

Materials Science · Physics 2014-12-25 Liangzhi Kou , Shu-Chun Wu , Claudia Felser , Thomas Frauenheim , Changfeng Chen , Binghai Yan

The discovery of strong topological insulators led to enormous activity in condensed matter physics and the discovery of new types of topological materials. Bisumth based chalcogenides are exemplary strong three dimensional topological…

Motivated by recent scanning tunneling microscopy experiments on surfaces of Bi$_{1-x}$Sb$_{x'}$\cite{yazdanistm,gomesstm} and Bi$_2$Te$_3$,\cite{kaptunikstm,xuestm} we theoretically study the electronic structure of a 3-dimensional (3D)…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Qiang-Hua Wang , Da Wang , Fu-Chun Zhang

Periodically driven systems can host so called anomalous topological phases, in which protected boundary states coexist with topologically trivial Floquet bulk bands. We introduce an anomalous version of reflection symmetry protected…

Mesoscale and Nanoscale Physics · Physics 2019-07-02 Konstantinos Ladovrechis , Ion Cosma Fulga

We study the excitation spectrum of a topological insulator in contact with an s-wave superconductor, starting from a microscopic model, and develop an effective low-energy model for the proximity effect. In the vicinity of the Dirac cone…

Superconductivity · Physics 2010-06-25 Tudor D. Stanescu , Jay D. Sau , Roman M. Lutchyn , S. Das Sarma

We report anisotropic Dirac-cone surface bands on a side-surface geometry of the topological insulator Bi$_2$Se$_3$ revealed by first-principles density-functional calculations. We find that the electron velocity in the side-surface Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Chang-Youn Moon , Jinhee Han , Hyungjun Lee , Hyoung Joon Choi

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

Motivated by recent photoemission experiments on the surface of topological insulators we compute the spectrum of driven topological surface excitations in the presence of an external light source. We completely characterize the spectral…

Strongly Correlated Electrons · Physics 2013-10-30 Benjamin M. Fregoso , Y. H. Wang , N. Gedik , Victor Galitski

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

We study electronic structures at an interface between a topological insulator and a ferromagnetic insulator by using three-dimensional two-band model. In usual ferromagnetic insulators, the exchange potential is much larger than the bulk…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Tetsuro Habe , Yasuhiro Asano

Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

To explain the unusual non-saturating linear magnetoresistance observed in silver chalcogenides, the quantum scenario has been proposed based on the assumption of gapless linear energy spectrum. Here we show, by first principles…

Materials Science · Physics 2013-05-29 Wei Zhang , Rui Yu , Wanxiang Feng , Yugui Yao , Hongming Weng , Xi Dai , Zhong Fang

Topological insulators are most frequently constructed using lattices with specific degeneracies in their linear spectra, such as Dirac points. For a broad class of lattices, such as honeycomb ones, these points and associated Dirac cones…

Optics · Physics 2024-09-09 Hua Zhong , Yaroslav V. Kartashov , Yongdong Li , Ming Li , Yiqi Zhang

Topological insulators (TIs) are bulk insulators with exotic 'topologically protected' surface conducting modes. It has recently been pointed out that when stacked together, interactions between surface modes can induce diverse phases…

Physics arising from two-dimensional~(2D) Dirac cones has been a topic of great theoretical and experimental interest to studies of gapless topological phases and to simulations of relativistic systems. Such $2$D Dirac cones are often…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Raditya Weda Bomantara , Wenlei Zhao , Longwen Zhou , Jiangbin Gong

The hallmark of topological insulators is the scatter-free propagation of waves in topologically protected edge channels. This transport is strictly chiral on the outer edge of the medium, and therefore capable of bypassing sharp corners…