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Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

The interplay between real-space topology such as magnetic skyrmions and momentum-space topology characterized by topological surface states (TSSs) is predicted to realize novel phenomena and functionalities, yet materials hosting both…

Topological edge modes are excitations that are localized at the materials' edges and yet are characterized by a topological invariant defined in the bulk. Such bulk-edge correspondence has enabled the creation of robust electronic,…

Mesoscale and Nanoscale Physics · Physics 2020-11-30 Ananya Ghatak , Martin Brandenbourger , Jasper van Wezel , Corentin Coulais

Featuring exotic quantum transport and surface states, topological semimetals can be classified into nodal-point, nodal-line, and nodal-surface semimetals according to the degeneracy and dimensionality of their nodes. However, a topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Bing-Bing Luo , Ming-Jian Gao , Jun-Hong An

The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically…

Strongly Correlated Electrons · Physics 2024-06-19 Jian-Hao Zhang , Shang-Qiang Ning , Yang Qi , Zheng-Cheng Gu

We show that sharply defined topological quantum phase transitions are not limited to states of matter with gapped electronic spectra. Such transitions may also occur between two gapless metallic states both with extended Fermi surfaces.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Xuzhe Ying , Alex Kamenev

Second-order topological insulators and superconductors have a gapped excitation spectrum in bulk and along boundaries, but protected zero modes at corners of a two-dimensional crystal or protected gapless modes at hinges of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Max Geier , Luka Trifunovic , Max Hoskam , Piet W. Brouwer

Topological materials are quantum materials with nontrivial ground-state entanglement that are irremovable so long as certain rules, like invariance under symmetries and the existence of an energy gap, are respected. They showcase…

Mesoscale and Nanoscale Physics · Physics 2020-06-12 Hoi Chun Po

We report on angle resolved photoemission spectroscopic studies on a parent topological insulator (TI), Bi$_2$Se$_3$. The line width of the spectral function (inverse of the quasi-particle lifetime) of the topological metallic (TM) states…

Strongly Correlated Electrons · Physics 2011-10-25 S. R. Park , W. S. Jung , Chul Kim , D. J. Song , C. Kim , S. Kimura , K. D. Lee , N. Hur

A review of theoretical and experimental studies of the electronic structure, electronic and magnetic properties of various systems of Heusler alloys in the states of a half-metallic ferromagnet, a spin gapless semiconductor, and a…

Materials Science · Physics 2021-11-30 V. V. Marchenkov , V. Yu. Irkhin

Symmetry and topology are two fundamental aspects of many quantum states of matter. Recently, new topological materials, higher-order topological insulators, were discovered, featuring, e.g., bulk-edge-corner correspondence that goes beyond…

Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential…

Strongly Correlated Electrons · Physics 2025-04-02 R. Flores-Calderón , Elio J. König , Ashley M. Cook

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary correspondence. However, the existence of higher-order Fermi…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Bin Zhou , Dong-Hui Xu

Topological Weyl semimetals (TWSs) are exotic crystals possessing emergent relativistic Weyl fermions connected by unique surface Fermi-arcs (SFAs) in their electronic structures. To realize the TWS state, certain symmetry (such as the…

While quasi-two-dimensional (layered) materials can be highly anisotropic, their asymptotic long-distance behavior generally reflects the properties of a fully three dimensional phase of matter. However, certain topologically ordered…

Strongly Correlated Electrons · Physics 2020-09-30 Trithep Devakul , S. L. Sondhi , S. A. Kivelson , Erez Berg

SmB6 is a strongly correlated material that has been attributed as a topological insulator and a Kondo insulator. Recent studies have found the topological surface states and low temperature insulating character to be profoundly robust…

We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

Materials Science · Physics 2020-05-11 Huaqing Huang , Feng Liu

Topological materials hosting metallic edges characterized by integer quantized conductivity in an insulating bulk have revolutionized our understanding of transport in matter. The topological protection of these edge states is based on…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 R. Canyellas , Chen Liu , R. Arouca , L. Eek , Guanyong Wang , Yin Yin , Dandan Guan , Yaoyi Li , Shiyong Wang , Hao Zheng , Canhua Liu , Jinfeng Jia , C. Morais Smith

A two-dimensional topological insulator may arise in a centrosymmetric commensurate N\'{e}el antiferromagnet (AF), where staggered magnetization breaks both the elementary translation and time reversal, but retains their product as a…

Strongly Correlated Electrons · Physics 2017-04-05 Frédéric Bègue , Pierre Pujol , Revaz Ramazashvili