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Related papers: Unquantized anomalies in topological semimetals

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Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Yu-Ping Lin , Giandomenico Palumbo

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Heng Gao , Jörn W. F. Venderbos , Youngkuk Kim , Andrew M. Rappe

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

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

Topological phases of matter lie at the heart of physics, connecting elegant mathematical principles to real materials that are believed to shape future electronic and quantum computing technologies. To date, studies in this discipline have…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Bin Jiang , Adrien Bouhon , Zhi-Kang Lin , Xiaoxi Zhou , Bo Hou , Feng Li , Robert-Jan Slager , Jian-Hua Jiang

Topological semimetals, such as Dirac, Weyl, or line-node semimetals, are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Saavanth Velury , Taylor L. Hughes

Topological semimetals in three dimensions display band-touchings at points (Weyl or Dirac semimetals) or nodal lines in the Brillouin zone. Weyl semimetals can occur with internal symmetries only (time-reversal ${\cal T}$, charge…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Faruk Abdulla , Ganpathy Murthy , Ankur Das

Topological semimetals are a class of novel three-dimensional (3D) electronic phases that feature topologically protected conical band-touchings at the Fermi level. These band-touching points are monopoles of Berry curvature in momentum…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 J. P. Santos Pires

It has recently been demonstrated that it is possible to open a gap in a magnetic Weyl semimetal, while preserving the chiral anomaly along with the charge conservation and translational symmetries, which all protect the gapless nodes in a…

Strongly Correlated Electrons · Physics 2023-03-27 Jinmin Yi , Xuzhe Ying , Lei Gioia , A. A. Burkov

In topological semimetals such as Weyl, Dirac, and nodal-line semimetals, the band gap closes at points or along lines in k space which are not necessarily located at high-symmetry positions in the Brillouin zone. Therefore, it is not…

Materials Science · Physics 2020-06-09 Motoaki Hirayama , Ryo Okugawa , Shuichi Murakami

Topological semimetals have emerged as an important class of quantum materials with novel electronic responses and unconventional transport phenomena. Among them, nodal-line semimetals are distinguished by band crossings that extend along…

Materials Science · Physics 2026-05-11 Ashutosh S. Wadge , Pardeep K. Tanwar , Giuseppe Cuono , Carmine Autieri

Nodal-line semimetals are topological semimetals characterized by one-dimensional band-touching loops protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$ in absence of spin-orbit coupling. These…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Alberto Martín-Ruiz , Alberto Cortijo

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear…

Strongly Correlated Electrons · Physics 2017-04-12 Wojciech Brzezicki , Mario Cuoco

Topological metals and semimetals (TMs) have recently drawn significant interest. These materials give rise to condensed matter realizations of many important concepts in high-energy physics, leading to wide-ranging protected properties in…

Topological band insulators and (semi-) metals can arise out of atomic insulators when the hopping strength between electrons increases. Such topological phases are separated from the atomic insulator by a bulk gap closing. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2022-04-21 Xiao-Ping Li , Da-Shuai Ma , Cheng-Cheng Liu , Zhi-Ming Yu , Yugui Yao

One of the most significant breakthroughs in physics of the last decade has been the discovery that materials with non-trivial topological properties for electronic, electromagnetic, acoustic and mechanical responses can be designed and…

Optics · Physics 2022-11-21 Xiang Ni , Simon Yves , Alex Krasnok , Andrea Alu

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

We review recent theoretical and experimental developments in magnetic Weyl semimetals, focusing on the electromagnetic responses emerging from the interplay of their electronic band topology and magnetism. We begin by introducing the…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Akihiro Ozawa , Yasufumi Araki , Koji Kobayashi , Kentaro Nomura

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

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