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Topological nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$. The stability of these Dirac rings is…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

The massless Dirac fermions residing on the surface of three-dimensional topological insulators are protected from backscattering and cannot be localized by disorder, but such protection can be lifted in ultrathin films when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 A. A. Taskin , Satoshi Sasaki , Kouji Segawa , Yoichi Ando

Topological insulators and semimetals have been shown to possess intriguing thermoelectric properties promising for energy harvesting and cooling applications. However, thermoelectric transport associated with the Fermi arc topological…

Two-dimensional (2D) Dirac states and Dirac points with linear dispersion are the hallmark of graphene, topological insulators, semimetals, and superconductors. Lowering a symmetry by the ferroelectric polarization opens the gap in Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Konstantin S. Denisov , Yuntian Liu , Igor Žutić

The material termed three-dimensional (3D) Dirac semimetal has attracted great interests recently, since it is an electronic analogue to two-dimensional graphene. Starting from this novel phase, various topologically distinct phases may be…

Strongly Correlated Electrons · Physics 2014-12-17 L. P. He , X. C. Hong , J. K. Dong , J. Pan , Z. Zhang , J. Zhang , S. Y. Li

Topological insulators are a novel class of quantum matter with a gapped insulating bulk yet gapless spin helical Dirac fermion conducting surface states. Here, we report local and non-local electrical and magneto transport measurements in…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Yang Xu , Ireneusz Miotkowski , Yong P. Chen

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Transport due to spin-helical massless Dirac fermion surface state is of paramount importance to realize various new physical phenomena in topological insulators, ranging from quantum anomalous Hall effect to Majorana fermions. However, one…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Luis A. Jauregui , Michael T. Pettes , Leonid P. Rokhinson , Li Shi , Yong P. Chen

Weyl and Dirac semimetals, characterized by their unique band structures with linear energy dispersion (E vs k) near the Fermi level (EF), have emerged as promising candidates for next-generation technology based on thermoelectric…

Materials Science · Physics 2025-02-18 Saurabh Singh , Sarmistha Das , Shiv Kumar

The interface between a superconductor and a topological insulator has been proposed to harbor novel quasiparticles that realize physical schemes for fault-tolerant quantum computation. Here, we present high resolution angle-resolved…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Y. Xia , L. Wray , D. Qian , D. Hsieh , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

The three dimensional (3D) topological insulators are predicted to exhibit a 3D Dirac semimetal state in critical regime of topological to trivial phase transition. Here we demonstrate the first experimental evidence of 3D Dirac semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Devendra Kumar , Archana Lakhani

Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

We review theoretical and experimental highlights in transport in two-dimensional materials focussing on key developments over the last five years. Topological insulators are finding applications in magnetic devices, while Hall transport in…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Dimitrie Culcer , Aydin Cem Keser , Yongqing Li , Grigory Tkachov

Three-dimensional topological insulators are characterized by the presence of a bandgap in their bulk and gapless Dirac fermions at their surfaces. New physical phenomena originating from the presence of the Dirac fermions are predicted to…

Mesoscale and Nanoscale Physics · Physics 2011-12-12 B. Sacepe , J. B. Oostinga , J. Li , A. Ubaldini , N. J. G. Couto , E. Giannini , A. F. Morpurgo

Several small-bandgap semiconductors are now known to have protected metallic surface states as a consequence of the topology of the bulk electron wavefunctions. The known "topological insulators" with this behavior include the important…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Pouyan Ghaemi , Roger Mong , Joel E. Moore

Topological insulators (TIs) are new insulating materials with exotic surface states, where the motion of charge carriers is described by the Dirac equations and their spins are locked in a perpendicular direction to their momentum. Recent…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Fei-Xiang Xiang , Xiao-Lin Wang , Shi-Xue Dou

Three dimensional (3D) topological insulators are quantum materials with a spin-orbit induced bulk insulating gap that exhibit quantum-Hall-like phenomena in the absence of applied magnetic fields. The proposed applications of topological…

Mesoscale and Nanoscale Physics · Physics 2009-07-20 Y. Xia , D. Qian , D. Hsieh , R. Shankar , H. Lin , A. Bansil , A. V. Fedorov , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Three-dimensional (3D) topological insulators (TI) are novel quantum materials with insulating bulk and topologically protected metallic surfaces with Dirac-like band structure. The spin-helical Dirac surface states are expected to host…

Topological insulators are distinguished from normal insulators by their bulk insulating gap and odd number of surface states connecting the inverted conduction and valence bands and showing Dirac cones at the time-reversal invariant points…

Materials Science · Physics 2015-05-18 Hosub Jin , Jung-Hwan Song , Arthur J. Freeman

Topological magnetic semimetals, like Co3Sn2S2 and Co2MnGa, are known to display exotic transport properties, such as large intrinsic anomalous (AHE) due to uncompensated Berry curvature. The highly symmetric XPt3 compounds display…

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