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Topological insulators (TIs) are materials with an insulating bulk characterized by a gapped band structure, along with gapless metallic surface states having a Dirac cone with a helical spin structure in momentum space. The helical…

Materials Science · Physics 2024-09-02 Sumana Paul , Moumita Das , Sujoy Datta , Raja Chakraborty , Prabhat Mandal , P. K. Giri

Topological insulators in the Bi$_2$Se$_3$ family manifest helical Dirac surface states that span the topologically ordered bulk band gap. Recent scanning tunneling microscopy measurements have discovered additional states in the bulk band…

Materials Science · Physics 2018-08-01 Yishuai Xu , Guodong Jiang , Janet Chiu , Lin Miao , Erica Kotta , Yutan Zhang , Rudro R. Biswas , L. Andrew Wray

The established diversity of electronic topology classes lends the opportunity to pair them into dual topological complexes. Bulk-surface correspondence then ensures the coexistence of a combination of boundary states that cannot be…

Mesoscale and Nanoscale Physics · Physics 2018-06-12 Nurit Avraham , Andrew Norris , Yan Sun , Yanpeng Qi , Lin Pan , Anna Isaeva , Alexander Zeugner , Claudia Felser , Binghai Yan , Haim Beidenkopf

The Dirac cone on a surface of a topological insulator shows linear dispersion analogous to optics and its velocity depends on materials. We consider a junction of two topological insulators with different velocities, and calculate the…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 Ryuji Takahashi , Shuichi Murakami

We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Chen Fang , Liang Fu

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

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

We propose two novel two-dimensional topological Dirac materials, planar PtN4C2 and Pt2N8C6, which exhibit graphene-like electronic structures with linearly dispersive Dirac-cone states exactly at the Fermi level. Moreover, the Dirac cone…

Materials Science · Physics 2022-07-20 Jingping Dong , Chuhan Wang , Xinlei Zhao , Miao Gao , Xun-Wang Yan , Fengjie Ma , Zhong-Yi Lu

Bi2Te3 is a member of a new class of materials known as topological insulators which are supposed to be insulating in the bulk and conducting on the surface. However experimental verification of the surface states has been difficult in…

Strongly Correlated Electrons · Physics 2015-06-22 Sourabh Barua , K. P. Rajeev , Anjan K. Gupta

We present CoTe2 as a new type-II Dirac semimetal supporting Lorentz symmetry violating Dirac fermions in the vicinity of the Fermi energy. By combining first principle ab-initio calculations with experimental angle-resolved photo-emission…

Topological insulators have an insulating bulk but a metallic surface. In the simplest case, the surface electronic structure of a 3D topological insulator is described by a single 2D Dirac cone. A single 2D Dirac fermion cannot be realized…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Jens H. Bardarson , Joel E. Moore

Confining two dimensional Dirac fermions on the surface of topological insulators has remained an outstanding conceptual challenge. Here we show that Dirac fermion confinement is achievable in topological crystalline insulators (TCI), which…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Roni Majlin Skiff , Fernando de Juan , Raquel Queiroz , Subramanian Mathimalar , Haim Beidenkopf , Roni Ilan

We report direct imaging of standing waves of the nontrivial surface states of topological insulator Bi$_2$Te$_3$ by using a low temperature scanning tunneling microscope. The interference fringes are caused by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tong Zhang , Peng Cheng , Xi Chen , Jin-Feng Jia , Xucun Ma , Ke He , Lili Wang , Haijun Zhang , Xi Dai , Zhong Fang , Xincheng Xie , Qi-Kun Xue

Binary bismuth chalcogenides Bi$_2$Se$_3$, Bi$_2$Te$_3$, and related materials are currently being extensively investigated as the reference topological insulators (TIs) due to their simple surface-state band dispersion (single Dirac cone)…

Materials Science · Physics 2016-06-21 Naunidh Virk , Oleg V. Yazyev

We investigated the electronic properties of the topological insulator Bi$_{2}$Te$_{3}$ by scanning tunneling microscopy and spectroscopy at low temperature. We obtained high-resolution quasiparticle interference data of the topological…

Emergent Dirac fermion states underlie many intriguing properties of graphene, and the search for them constitute one strong motivation to explore two-dimensional (2D) allotropes of other elements. Phosphorene, the ultrathin layers of black…

We calculate the local density of states of two prototypical topological insulators (Bi$_2$Se$_3$ and Bi$_2$Te$_2$Se) as a function of distance from the surface within density functional theory. We find that, in the absence of disorder or…

Mesoscale and Nanoscale Physics · Physics 2015-10-08 Benjamin M. Fregoso , Sinisa Coh

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…

In a topological insulator, it is the electrons on the surface or edge that carry the signature of topology. Recently, a novel topological state has been proposed in metals or semimetals (gapless) whose band-structure is similar to that of…

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