Topological electronic structure and Weyl semimetal in the TlBiSe<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>class of semiconductors

Singh, Bahadur; Sharma, Ashutosh; Lin, Hsin; Hasan, M. Zahid; Prasad, R.; Bansil, Arun

doi:10.1103/physrevb.86.115208

Cited by 157 publications

(168 citation statements)

References 53 publications

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“…158) The Weyl semimetal phase is also conceivable in a TR symmetric system with broken inversion symmetry, and it was proposed that such a phase may be achieved by breaking the inversion symmetry through elaborate multilayer structures using HgTe/CdTe 159) or the TlBi(S 1Àx Se x ) 2 system at the topological phase transition point. 160) …”

Section: Topological Semimetalmentioning

confidence: 99%

Topological Insulator Materials

2013

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Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties. After presenting a historical perspective and basic theories of topological insulators, it discusses all the topological insulator materials discovered as of May 2013, with some illustrative descriptions of the developments in materials discoveries in which the author was involved. A summary is given for possible ways to confirm the topological nature in a candidate material. Various synthesis techniques as well as the defect chemistry that are important for realizing bulk-insulating samples are discussed. Characteristic properties of topological insulators are discussed with an emphasis on transport properties. In particular, the Dirac fermion physics and the resulting peculiar quantum oscillation patterns are discussed in detail. It is emphasized that proper analyses of quantum oscillations make it possible to unambiguously identify surface Dirac fermions through transport measurements. The prospects of topological insulator materials for elucidating novel quantum phenomena that await discovery conclude the review.

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Section: Topological Semimetalmentioning

confidence: 99%

Topological Insulator Materials

2013

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“…Weyl and 3D Dirac semimetal phases have been predicted in a variety of existing or tailored systems as follows: (i) Pyrochlore iridates could host 24 Weyl nodes through the interplay of SOC and strong electron correlations (Wan et al 2011); (ii) Ferromagnetic HgCr2Se4 spinel with nodes protected by C4 point group symmetry (Xu, Weng, et al 2011;); (iii) Crystalline Cd3As2 (Wang, Weng, et al 2013) and A3Bi (A = Na, K, Rb) (Wang, Sun, et al 2012); (iv) β-cristobalite BiO2; (Young et al 2012) (v) strained Hg1-x-yCdxMnyTe under magnetic field (Bulmash, Liu, and Qi 2014); (vi) TlBiSe2 (Singh et al 2012); (vii) Heterostructure of magnetically doped 3D TI and normal insulator (Burkov and Balents 2011b); and, (viii) A superlattice of alternating layers with odd and even parity orbitals. Experimentally realized 3D Dirac semimetals so far are Cd3As2 Borisenko et al 2014;Ali et al 2014) and Na3Bi .…”

Section: Ivh Weyl and 3d Dirac Semimetalsmentioning

confidence: 99%

Colloquium: Topological band theory

2016

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The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling direct and sharpened confrontation between theory and experiment. We begin this review by discussing underpinnings of the topological band theory, which basically involves a layer of analysis and interpretation for assessing topological properties of band structures beyond the standard band theory construct. Methods for evaluating topological invariants are delineated, including crystals without inversion symmetry and interacting systems. The extent to which theoretically predicted properties and protections of topological states have been verified experimentally is discussed, including work on topological crystalline insulators, disorder/interaction driven topological insulators (TIs), topological superconductors, Weyl semimetal phases, and topological phase transitions. Successful strategies for new materials discovery process are outlined. A comprehensive survey of currently predicted 2D and 3D topological materials is provided. This includes binary, ternary and quaternary compounds, transition metal and f-electron materials, Weyl and 3D Dirac semimetals, complex oxides, organometallics, skutterudites and antiperovskites. Also included is the emerging area of 2D atomically thin films beyond graphene of various elements and their alloys, functional thin films, multilayer systems, and ultra-thin films of 3D TIs, all of which hold exciting promise of wide-ranging applications. We conclude by giving a perspective on research directions where further work will broadly benefit the topological materials field.

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“…Many theoretical proposals exist for realizing Weyl semimetals that possess interesting physical properties, such as discontinuous Fermi arcs and negative magnetoresistance due to the chiral anomaly. 4,[6][7][8][9][10][19][20][21][22][23][24][25][26][27][28][29]31,32,34 A Weyl node with definite chirality is associated with the Berry curvature and may be thought of as realizations of magnetic monopoles in momentum space.…”

Section: Introductionmentioning

confidence: 99%

Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP

et al. 2015

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The family of binary compounds including TaAs, TaP, NbAs, and NbP was recently discovered as the first realization of Weyl semimetals. In order to develop a comprehensive description of the charge carriers in these Weyl semimetals, we performed a detailed and systematic electronic band structure calculations which reveal the nature of Fermi surfaces and their complex interconnectivity in TaAs, TaP, NbAs, and NbP. Our work report the first comparative and comprehensive study of Fermi surface topology and band structure details of all known members of the Weyl semimetal family, and hence provides the fundamental knowledge for realizing the many predicted exotic topological quantum physics of Weyl semimetals based on the TaAs class of materials.

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Topological electronic structure and Weyl semimetal in the TlBiSe2class of semiconductors

Cited by 157 publications

References 53 publications

Topological Insulator Materials

Topological Insulator Materials

Colloquium: Topological band theory

Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP

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