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Strong correlation, in concert with symmetry and topology, engenders novel gapless phases of matter, though only a tip of the iceberg has been seen. An exemplary framework is provided by Weyl-Kondo semimetals, in which Weyl fermions develop…

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

Other Condensed Matter · Physics 2026-04-30 Yu. B. Kudasov

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 semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 A. A. Burkov

Multi-band superconductivity in topological semimetals are the paradigms of unconventional superconductors. Their exotic gap structures and topological properties have fascinated searching for material realizations and applications. In this…

Strongly Correlated Electrons · Physics 2023-04-05 GiBaik Sim , Moon Jip Park , SungBin Lee

Weyl semimetals are expected to open up new horizons in physics and materials science because they provide the first realization of Weyl fermions and exhibit protected Fermi arc surface states. However, they had been found to be extremely…

We report the optical conductivity in high-quality crystals of the chiral topological semimetal CoSi, which hosts exotic quasiparticles known as multifold fermions. We find that the optical response is separated into several distinct…

The subtle interplay between local and global charges for topological semimetals exactly parallels that for singular vector fields. Part of this story is the relationship between cohomological semimetal invariants, Euler structures, and…

Mathematical Physics · Physics 2017-08-02 Varghese Mathai , Guo Chuan Thiang

Initiated by the discovery of topological insulators, topologically non-trivial materials have attracted immense interest in the physics community in the past decade. One of the latest additions to the field, the material class of…

Materials Science · Physics 2018-05-01 Leslie Schoop , Florian Pielnhofer , Bettina Lotsch

By considering the topology of chiral crystals a new type of massless fermions, connected with giant arc-like surface states, are predicted. Such Kramers-Weyl fermions should manifest in a wide variety of chiral materials

Strongly Correlated Electrons · Physics 2018-10-24 Chandra Shekhar

Weyl semimetals display a novel topological phase of matter where the Weyl nodes emerge in pairs of opposite chirality and can be seen as either a source or a sink of Berry curvature. The exotic effects in Weyl semimetals, such as surface…

Materials Science · Physics 2018-10-02 Davide Iaia , Guoqing Chang , Tay-Rong Chang , Jin Hu , Zhiqiang Mao , Hsin Lin , Shichao Yan , Vidya Madhavan

Topological semimetals are some of the topological phases of matter most intensely-studied experimentally. The Weyl semimetal phase, in particular, has garned tremendous, sustained interest given fascinating signatures such as the Fermi arc…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 Adipta Pal , Ashley M. Cook

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Sumathi Rao

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

We study the generic band structures of the five-dimensional (5D) Weyl semimetal, in which the band degeneracies are 2D Weyl surfaces in the momentum space, and may have non-trivial linkings with each other if they carry nonzero second…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Jing-Yuan Chen , Biao Lian , Shou-Cheng Zhang

Since the prediction and observation of topological Weyl semimetals (chiral TSMs), there have been enormous efforts to characterize further condensed matter realizations of chiral fermions. These efforts were dramatically accelerated by the…

Mesoscale and Nanoscale Physics · Physics 2025-12-24 Justin Schirmann , Adolfo G. Grushin , Benjamin J. Wieder

Antiferromagnetic skyrmion crystals are magnetic phases predicted to exist in antiferromagnets with Dzyaloshinskii-Moriya interactions. Their spatially periodic noncollinear magnetic texture gives rise to topological bulk magnon bands…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Sebastian A. Diaz , Jelena Klinovaja , Daniel Loss

The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the…

Superconductivity · Physics 2015-11-03 Shingo Kobayashi , Masatoshi Sato
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