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In modern condensed matter theory, phases of electronic matter--such as metals and insulators-are fundamentally distinguished by the presence or absence of charge-carrying quasiparticles or excitations near the Fermi surface at low…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Xian-Peng Zhang , Yan-Qing Feng , Ji-Feng Shao , Haiwen Liu , Yugui Yao

Topological insulators are newly discovered materials with the defining property that any boundary cut into such crystal supports spectrum which is immune to the Anderson localization. The present paper summarizes our efforts on the…

Mathematical Physics · Physics 2016-02-03 Emil Prodan

Electron correlations amplify quantum fluctuations and, as such, they have been recognized as the origin of a rich landscape of quantum phases. Whether and how they lead to gapless topological states is an outstanding question, and a…

Topological heavy-fermion systems in three dimensions are usually classified as topological insulators or semimetals. Here, we theoretically predict a different type of heavy-fermion system (dubbed exceptional heavy-fermion semimetal) by…

Strongly Correlated Electrons · Physics 2023-02-01 Yu-Liang Tao , Tao Qin , Yong Xu

Topological semimetals are gapless states of matter which have robust surface states and interesting electromagnetic responses. In this paper, we consider the electromagnetic response of gapless phases in $3+1$-dimensions with line nodes.…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Srinidhi T. Ramamurthy , Taylor L. Hughes

Topological states of quantum matter have attracted great attention in condensed matter physics and materials science. The study of time-reversal-invariant (TRI) topological states in quantum materials has made tremendous progress in both…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Dongqin Zhang , Minji Shi , Tongshuai Zhu , Dingyu Xing , Haijun Zhang , Jing Wang

Based on $k\cdot p$ analysis and realistic tight-binding calculations, we find that time-reversal-breaking Weyl semimetals can be realized in magnetically-doped (Mn, Eu, Cr etc.) Sn$_{1-x}$Pb$_x$(Te,Se) class of topological crystalline…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 Junwei Liu , Chen Fang , Liang Fu

Physicists have discovered a novel topological semimetal, the Weyl semimetal, whose surface features a non-closed Fermi surface while the low energy quasiparticles in the bulk emerge as Weyl fermions. Here they share a brief review of the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Shuang Jia , Su-Yang Xu , M. Zahid Hasan

We introduce and investigate material junctions as a generic and tuneable electronic platform for the realization of exotic non-Hermitian (NH) topological states of matter, where the NH character is induced by the surface self-energy of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Emil J. Bergholtz , Jan Carl Budich

Condensed-matter provides attractive platforms to realize exotic particles, originally proposed in high-energy physics. Weyl semimetal (WSM) is a material in which low-energy collective excitations are governed by massless Weyl fermions,…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Amar Bharti

Dirac metals (gapless semi-conductors) are believed to turn into Weyl metals when perturbations, which break either time reversal symmetry or inversion symmetry, are employed. However, no experimental evidence has been reported for the…

Strongly Correlated Electrons · Physics 2014-02-27 Heon-Jung Kim , Ki-Seok Kim , J. F. Wang , M. Sasaki , N. Satoh , A. Ohnishi , M. Kitaura , M. Yang , L. Li

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

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 B. Andrei Bernevig , Claudia Felser , Haim Beidenkopf

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

The notion of higher-order topological insulators has endowed materials with topological states beyond the first order. Particularly, a three-dimensional (3D) higher-order topological insulator can host topologically protected 1D hinge…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Qiang Wei , Xuewei Zhang , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Mou Yan , Gang Chen , Zhengyou Liu , Suotang Jia

We study amorphous systems with completely random sites and find that, through constructing and exploring a concrete model Hamiltonian, such a system can host an exotic phase of topological amorphous metal in three dimensions. In contrast…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Yan-Bin Yang , Tao Qin , Dong-Ling Deng , L. -M. Duan , Yong Xu

We propose a different route to time-reversal invariant Weyl semimetals employing multilayer heterostructures comprising ordinary "trivial" insulators and nontrivial insulators with \textit{pairs} of protected Dirac cones on the surface. We…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Alexander Lau , Carmine Ortix

Time-reversal invariant topological superconductors are a new state of matter which have a bulk superconducting gap and robust Majorana fermion surface states. These have not yet been realized in solid state systems. In this paper, we…

Strongly Correlated Electrons · Physics 2014-07-30 Pavan Hosur , Xi Dai , Zhong Fang , Xiao-Liang Qi

Weyl semimetals host topologically protected surface states, the so-called Fermi arcs, that have a penetration depth into the bulk that depends on surface-momentum, and diverges at the Weyl points. It has recently been observed in PtBi$_2$…

Superconductivity · Physics 2025-09-12 Mattia Trama , Viktor Könye , Ion Cosma Fulga , Jeroen van den Brink

Weyl semimetals (WSMs) have recently attracted a great deal of attention as they provide condensed matter realization of chiral anomaly, feature topologically protected Fermi arc surface states and sustain sharp chiral Weyl quasiparticles…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Robert-Jan Slager , Vladimir Juricic , Bitan Roy