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In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee

Characterized by bulk Dirac or Weyl cones and surface Fermi-arc states, topological semimetals have sparked enormous research interest in recent years. The nanostructures, with large surface-to-volume ratio and easy field-effect gating,…

Mesoscale and Nanoscale Physics · Physics 2020-05-01 An-Qi Wang , Xing-Guo Ye , Da-Peng Yu , Zhi-Min Liao

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

Strongly Correlated Electrons · Physics 2013-01-04 Ari M. Turner , Ashvin Vishwanath

Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at…

Superconductivity · Physics 2012-01-13 Andreas P. Schnyder , P. M. R. Brydon , Carsten Timm

Topological nodal-line semimetals are exotic conductors that host symmetry-protected conducting nodal-lines in their bulk electronic spectrum and nontrivial drumhead states on the surface. Based on first-principles calculations and an…

Materials Science · Physics 2018-02-21 Bahadur Singh , Xiaoting Zhou , Hsin Lin , Arun Bansil

Searching for topological insulators/superconductors is a central subject in recent condensed matter physics. As a theoretical aspect, various classification methods of symmetry-protected topological phases have been developed, where the…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Youichi Yanase

Surface states of topological noncentrosymmetric superconductors exhibit intricate helical spin textures, i.e., the spin orientation of the surface quasiparticles is coupled to their momentum. Using quasiclassical theory, we study the spin…

Superconductivity · Physics 2015-01-19 P. M. R. Brydon , Andreas P. Schnyder , Carsten Timm

The topological aspects of electrons in solids emerge in realistic matters as represented by topological insulators. They are expected to show a variety of new magneto-electric phenomena, and especially the ones hosting superconductivity…

Materials Science · Physics 2015-10-28 M. Sakano , K. Okawa , M. Kanou , H. Sanjo , T. Okuda , T. Sasagawa , K. Ishizaka

The search for artificial structure with tunable topological properties is an interesting research direction of today's topological physics. Here, we introduce a scheme to realize `topological semimetal states' with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Kaifa Luo , Rui Yu , Hongming Weng

Based on the first-principles calculations, we theoretically propose topologically non-trivial states in a recently experimentally discovered superconducting material CaSn$_3$. When the spin-orbit coupling (SOC) is ignored, the material is…

Materials Science · Physics 2017-11-28 Sunny Gupta , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 E. V. Deviatov

We investigate the topological protection of surface states in Weyl and nodal-line semimetals by characterizing them as evanescent states when the band structure is extended to complex momenta. We find in this way a sequence of exceptional…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 J. Gonzalez , R. A. Molina

The emergent higher-order topological insulators significantly deepen our understanding of topological physics. Recently, the study has been extended to topological semimetals featuring gapless bulk band nodes. To date, higherorder nodal…

Materials Science · Physics 2023-11-30 Huahui Qiu , Yuzeng Li , Qicheng Zhang , Chunyin Qiu

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

This work explores the topological phase diagram of inverted-band-gap semiconductors under strain and spin-orbit coupling. Using a minimalistic Luttinger Hamiltonian model, we follow the transitions between a 3D topological insulator, a…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Vitaly N. Golovach , Alexander Khaetskii

Topological states of matter possess bulk electronic structures categorized by topological invariants and edge/surface states due to the bulk-boundary correspondence. Topological materials hold great potential in the development of…

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

Conventional metals, insulators, and semimetals are constrained by fundamental limitations in terms of their thermoelectric performance. Topological materials offer certain features that allow them to circumvent these constraints, and…

Materials Science · Physics 2026-03-26 Brian Skinner , Poulomi Chakraborty , Joshua Scales , Joseph P. Heremans

Recent proposals for the realization of time-reversal symmetry breaking and topological superconductivity in twisted nodal superconductors have led to a surge of theoretical and experimental studies of these systems, marking one of the…

Superconductivity · Physics 2026-05-20 J. H. Pixley , Pavel A. Volkov

The realization of Dirac and Weyl physics in solids has made topological materials one of the main focuses of condensed matter physics. Recently, the topic of topological nodal line semimetals, materials in which Dirac or Weyl-like…

Materials Science · Physics 2018-02-13 Shuo-Ying Yang , Hao Yang , Elena Derunova , Stuart S. P. Parkin , Binghai Yan , Mazhar N. Ali
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