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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…

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

Materials Science · Physics 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

Nontrivial topology in type-II Dirac semimetal NiTe$_2$ leading to topologically protected surface states give rise to fascinating phenomena holding great promise for next-generation electronic and spintronic devices. Key parameters $-$…

Strongly Correlated Electrons · Physics 2025-06-13 Neeraj Bhatt , Asif Ali , Deepali Sharma , Sakshi Bansal , Manasi Mandal , Ravi Prakash Singh , Ravi Shankar Singh

Topological insulators (TIs) are novel materials that manifest spin-polarized Dirac states on their surfaces or at interfaces made with conventional matter. We have measured the electron kinetics of bulk doped TI Bi$_2$Se$_3$ with angle…

Materials Science · Physics 2012-06-07 L. A. Wray , M. Neupane , S. -Y. Xu , Y. -Q. Xia , A. V. Fedorov , H. Lin , S. Basak , A. Bansil , Y. S. Hor , R. J. Cava , M. Z. Hasan

Materials with strong spin-orbit coupling have attracted attention following the prediction and subsequent discovery of strong two- and three-dimensional topological insulators in which a topological property of the bulk band structure of…

The electronic structure of iron pnictides is topologically nontrivial, leading to the appearance of Dirac cones in the band structure for the antiferromagnetic phase. Motivated by the analogy with Dirac cones in graphene, we explore the…

Strongly Correlated Electrons · Physics 2014-08-08 Alexander Lau , Carsten Timm

Topological insulators (TIs) are said to be stable against non-magnetic impurity scattering due to suppressed backscattering in the Dirac surface states. We solve a lattice model of a three-dimensional TI in the presence of strong potential…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Annica M. Black-Schaffer , Alexander V. Balatsky

Topological crystalline insulators (TCIs) can host anomalous surface states which inherits the characteristics of crystalline symmetry that protects the bulk topology. Especially, the diversity of magnetic crystalline symmetries indicates…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Yoonseok Hwang , Yuting Qian , Junha Kang , Jehyun Lee , Dongchoon Ryu , Hong Chul Choi , Bohm-Jung Yang

An unpaired gapless Dirac electron emergent at the surface of a strong topological insulator (STI) is protected by the bulk-surface correspondence and believed to be immune to backward scattering. It is less obvious, however, and yet to be…

Mesoscale and Nanoscale Physics · Physics 2012-08-31 Yositake Takane , Ken-Ichiro Imura

We reconsider the problem of surface states spectrum in type One Dirac metals. We find that the surface states, despite being gapped, always form branches terminating at Dirac points. Furthermore, we consider evolution of the surface states…

Strongly Correlated Electrons · Physics 2018-08-15 Grigory Bednik

We introduce exotic gapless states---`composite Dirac liquids'---that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator. Composite Dirac liquids exhibit a gap to all charge excitations but…

Strongly Correlated Electrons · Physics 2015-03-02 David F. Mross , Andrew Essin , Jason Alicea

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

We show that a smooth interface between two insulators of opposite topological Z2 indices possesses multiple surface states, both massless and massive. While the massless surface state is non-degenerate, chiral and insensitive to the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 S. Tchoumakov , V. Jouffrey , A. Inhofer , E. Bocquillon , B. Plaçais , D. Carpentier , M. O. Goerbig

Surfaces of topological insulators host a new class of states with Dirac dispersion and helical spin texture. Potential quantum computing and spintronic applications using these states require manipulation of their electronic properties at…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Haim Beidenkopf , Pedram Roushan , Jungpil Seo , Lindsay Gorman , Ilya Drozdov , Yew San Hor , R. J. Cava , Ali Yazdani

Topological semimetal is a topic of general interest in material science. Recently, a new kind of topological semimetal called type-II Dirac semimetal with tilted Dirac cones is discovered in PtSe2 family. However, the further investigation…

The surface of a topological insulator is a closed two dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two dimensional spaces. For a slab-like sample with a magnetic field perpendicular to its top…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dung-Hai Lee

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

We discuss a non-fermi liquid gapless metallic surface state of the topological band insulator. It has an odd number of gapless Dirac fermions coupled to a non-compact U(1) gauge field. This can be viewed as a vortex dual to the…

Strongly Correlated Electrons · Physics 2015-11-25 Chong Wang , T. Senthil

The concept of topological insulator (TI) has introduced a new point of view to condensed-matter physics, relating a priori unrelated subfields such as quantum (spin, anomalous) Hall effects, spin-orbit coupled materials, some classes of…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Yukinori Yoshimura , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

Gapping of Dirac surface states through time reversal symmetry breaking may realize the axion insulator state in condensed matter. Despite tremendous efforts, only a few material systems fall in this category of intrinsic magnetic…

Strongly Correlated Electrons · Physics 2022-10-12 Mingda Gong , Divyanshi Sar , Joel Friedman , Dariusz Kaczorowski , S. Abdel Razek , Wei-Cheng Lee , Pegor Aynajian
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