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We theoretically search for dynamical cross-correlated responses of three-dimensional topological superconductors and superfluids. It has been suggested that a gravitational topological term, which is analogous to the theta term in…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Akihiko Sekine

Asymmetric Weyl semimetals, which possess an inherently chiral structure, have different energies and dispersion relations for left- and right-handed fermions. They exhibit certain effects not found in symmetric Weyl semimetals, such as the…

Mesoscale and Nanoscale Physics · Physics 2021-02-11 Sahal Kaushik , Evan John Philip , Jennifer Cano

Weyl semimetals are materials where electrons behave effectively as a kind of massless relativistic particles known asWeyl fermions. These particles occur in two flavours, or chiralities, and are subject to quantum anomalies, the breaking…

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic…

Strongly Correlated Electrons · Physics 2013-05-29 Brian Swingle , Maissam Barkeshli , John McGreevy , T. Senthil

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

The response of chiral fermions to time and space dependent axial imbalance & constant magnetic field is analyzed. The axialvector-vector-vector (AVV) three-point function is studied using a real-time approach at finite temperature in the…

High Energy Physics - Phenomenology · Physics 2020-05-01 Miklos Horvath , Defu Hou , Jinfeng Liao , Hai-cang Ren

Three-dimensional Weyl and Dirac semimetals can support a chiral-symmetry-breaking, fully gapped, charge-density-wave order even for sufficiently weak repulsive electron-electron interactions, when placed in strong magnetic fields. In the…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Bitan Roy , Jay D. Sau

An intriguing phenomenon in topological semimetals and topological insulators is the negative magnetoresistance (MR) observed when a magnetic field is applied along the current direction. A prevailing understanding to the negative MR in…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Xin Dai , Z. Z. Du , Hai-Zhou Lu

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

Electrical manipulation of emergent phenomena due to nontrivial band topology is a key to realize next-generation technology using topological protection. A Weyl semimetal is a three-dimensional gapless system that hosts Weyl fermions as…

We discuss fundamental aspects of chiral anomaly-driven interactions in conformal field theory (CFT) in four spacetime dimensions. They find application in very general contexts, from early universe plasma to topological condensed matter.…

High Energy Physics - Phenomenology · Physics 2024-03-26 Claudio Corianò , Mario Cretì , Stefano Lionetti , Dario Melle , Riccardo Tommasi

In many of three-dimensional metals with the inversion symmetry and a weak spin-orbit interaction, Dirac points of the electron energy spectrum form band-contact lines in the Brillouin zones of these crystals, and electron topological…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 G. P. Mikitik , Yu. V. Sharlai

We continue our investigation of the response tensors in planar Hall (or planar thermal Hall) configurations where a three-dimensional Weyl/multi-Weyl semimetal is subjected to the combined influence of an electric field $\mathbf E $…

Mesoscale and Nanoscale Physics · Physics 2024-11-06 Leonardo Medel , Rahul Ghosh , Alberto Martín-Ruiz , Ipsita Mandal

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

Dirac and Weyl materials possess chiral fermions, which are characterized by nontrivial topology and large Berry curvature. Chiral fermions have nontrivial interactions with magnetic fields and light. In this work, we propose three…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Sahal Kaushik

Dirac and Weyl semimetals form an ideal platform for testing ideas developed in high energy physics to describe massless relativistic particles. One such quintessentially field-theoretic idea of chiral anomaly already resulted in the…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 D. I. Pikulin , Anffany Chen , M. Franz

We investigate the algebraic structure of flat energy bands a partial filling of which may give rise to a fractional quantum anomalous Hall effect (or a fractional Chern insulator) and a fractional quantum spin Hall effect. Both effects…

Mesoscale and Nanoscale Physics · Physics 2012-01-19 M. O. Goerbig

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

We study electric field and temperature gradient driven magnetoconductivity of a Weyl semimetal system. To analyze the responses, we utilize the kinetic equation with semiclassical equations of motion modified by the Berry curvature and…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Vladimir A. Zyuzin

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
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