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Study of the Weyl and Dirac topological materials (topological semimetals, insulators, superfluids and superconductors) opens the route for the investigation of the topological quantum vacua of relativistic fields. The symmetric phase of…

High Energy Physics - Phenomenology · Physics 2017-09-12 G. E. Volovik , M. A. Zubkov

The resistivities of the dilute, strongly-interacting 2D electron systems in the insulating phase of a silicon MOSFET are the same for unpolarized electrons in the absence of magnetic field and for electrons that are fully spin polarized by…

Strongly Correlated Electrons · Physics 2017-01-18 Shiqi Li , M. P. Sarachik

Ternary semiconducting or metallic half-Heusler compounds with an atomic composition 1:1:1 are widely studied for their flexible electronic properties and functionalities. Recently, a new material property of half-Heusler compounds was…

Materials Science · Physics 2014-10-28 Binghai Yan , Anne de Visser

Topological insulators generally have dielectric bulk and conductive surface states. Consequently, some of these materials have been shown to support polaritonic modes at visible and THz frequencies. At the same time, the optical properties…

Materials Science · Physics 2024-02-27 Sergey G. Menabde , Jacob T. Heiden , Vladimir A. Zenin , N. Asger Mortensen , Min Seok Jang

Band structures of topological insulators are characterized by non-local topological invariants. Consequently, proposals for the experimental detection using local probes are rare. A recent paper [Slager et al., Phys. Rev. B 92, 085126…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 Seydou-Samba Diop , Lars Fritz , Matthias Vojta , Stephan Rachel

Non-trivial topological phases often emerge in narrow-gap semiconductors with a delicate blend of spin-orbit coupling and electron correlation. The diamond-lattice allotrope of Sn ($\alpha$-Sn) exemplifies this behavior, hosting multiple…

Strongly Correlated Electrons · Physics 2026-02-02 Gaurav Harsha , Selina Dirnböck , Emanuel Gull , Vojtěch Vlček , Dominika Zgid

Structural imperfections such as grain boundaries (GBs) and dislocations are ubiquitous in solids and have been of central importance in understanding nature of polycrystals. In addition to their classical roles, advent of topological…

The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Previous results, like the Fu-Kane parity criterion for…

Strongly Correlated Electrons · Physics 2017-08-31 Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

Low-buckled silicene, germanene, and stanene are group$-IV$ graphene allotropes. They form a honeycomb lattice out of two interpenetrating ($A$ and $B$) triangular sublattices that are vertically separated by a small distance $\Delta_z$.…

Materials Science · Physics 2023-06-02 John M. Davis , Gustavo S. Orozco-Galvan , Salvador Barraza-Lopez

Topological insulators are found in materials that have elements with strong spin orbit interaction. However, electron Coulomb repulsion also potentially generates the topological insulators as well as Chern insulators by the mechanism of…

Strongly Correlated Electrons · Physics 2014-07-01 Masatoshi Imada , Youhei Yamaji , Moyuru Kurita

Elementary band representations are the fundamental building blocks of atomic limit band structures. They have the defining property that at partial filling they cannot be both gapped and trivial. Here, we give two examples -- one each in a…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Jennifer Cano , Barry Bradlyn , Zhijun Wang , L. Elcoro , M. G. Vergniory , C. Felser , M. I. Aroyo , B. Andrei Bernevig

Topological crystalline insulators (TCI) are a new class of materials which have metallic surface states on select surfaces due to point group crystalline symmetries. In this letter, we consider a model for a three-dimensional (3D)…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Srinidhi T. Ramamurthy , Yuxuan Wang , Taylor L. Hughes

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define an appropriate space of Hamiltonians and a topology on it so…

Mathematical Physics · Physics 2026-05-26 Jui-Hui Chung , Jacob Shapiro

Si dominates the semiconductor industry material but possesses an abnormally low room temperature hole mobility (505 cm^2/Vs), which is four times lower than that of Diamond and Ge (2000 cm^2/Vs), two adjacent neighbours in the group IV…

Materials Science · Physics 2020-11-05 Q. L. Yang , H. X. Deng , S. H. Wei , S. S. Li , J. W. Luo

Plasticity in zirconium is controlled by 1/3<1-210> screw dislocations gliding in the prism planes of the hexagonal close-packed structure. This prismatic and not basal glide is observed for a given set of transition metals like zirconium…

Materials Science · Physics 2012-10-04 Emmanuel Clouet

Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

Topological materials have attracted considerable experimental and theoretical attention. They exhibit strong spin-orbit coupling both in the band structure (intrinsic) and in the impurity potentials (extrinsic), although the latter is…

Mesoscale and Nanoscale Physics · Physics 2017-08-17 Weizhe Edward Liu , Ewelina M. Hankiewicz , Dimitrie Culcer

Topological materials (TMs) showcase intriguing physical properties defying expectations based on conventional materials, and hold promise for the development of devices with new functionalities. While several theoretically proposed TMs…

Mesoscale and Nanoscale Physics · Physics 2019-04-19 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…