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Topological Weyl semimetals (WSM), a new state of quantum matter with gapless nodal bulk spectrum and open Fermi arc surface states, have recently sparked enormous interest in condensed matter physics. Based on the symmetry and fermiology,…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 Subhodip Saha , Sumanta Tewari

We present a theory of the intrinsic anomalous Hall effect in a model of a doped Weyl semimetal, which serves here as the simplest toy model of a generic three-dimensional metallic ferromagnet with Weyl nodes in the electronic structure. We…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 A. A. Burkov

Dirac semimetals (DSM) and Weyl semimetal (WSM) fall under the generic class of three-dimensional solids, which follow relativistic energy-momentum relation $\epsilon_\mathbf{k}= \hbar v_F |\mathbf{k}|$ at low energies. Such a linear…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Sumanta Tewari

The spin Nernst effect describes a transverse spin current induced by the longitudinal thermal gradient in a system with the spin-orbit coupling. Here we study the spin Nernst effect in a mesoscopic four-terminal cross-bar Weyl semimetal…

Mesoscale and Nanoscale Physics · Physics 2019-08-27 Ning-Xuan Yang , Yan-Feng Zhou , Zhe Hou , Qing-Feng Sun

We extend our previous analysis [Phys. Rev. D 109, 065005 (2024)] of CPT-odd electromagnetic response in tilted, anisotropic Weyl semimetals to the overtilted (type-II) regime, where electron and hole pockets coexist at the Fermi level.…

High Energy Physics - Theory · Physics 2026-05-21 R. Martínez von Dossow , A. Martín-Ruiz , Luis F. Urrutia

Weyl semimetals host linear energy dispersions around Weyl nodes, as well as monopoles of Berry curvature in momentum space around these points. These features give rise to unique transport signatures in a Weyl semimetal, such as transverse…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Robert C. McKay , Timothy M. McCormick , Nandini Trivedi

Anomalous Nernst effect generates a transverse voltage perpendicular to the temperature gradient. It has several advantages compared with the longitudinal thermoelectricity for energy conversion, such as decoupling of electronic and thermal…

Materials Science · Physics 2023-01-02 Panshuo Wang , Zongxiang Hu , Xiaosong Wu , Qihang Liu

Weyl nodes come in pairs of opposite chirality. For broken time reversal symmetry (TR) they are displaced in momentum space by $\bf{Q}$ and the anomalous DC Hall conductivity $\sigma_{xy}$ is proportional to $\bf{Q}$ at charge neutrality.…

Strongly Correlated Electrons · Physics 2018-03-14 S. P. Mukherjee , J. P. Carbotte

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

Recently, a new type of Weyl semimetal called type-II Weyl semimetal has been proposed. Unlike the usual (type-I) Weyl semimetal, which has a point-like Fermi surface, this new type of Weyl semimetal has a tilted conical spectrum around the…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 A. A. Zyuzin , Rakesh P. Tiwari

We report the anomalous Hall effect (AHE) and the anomalous Nernst effect (ANE) data for the non-collinear Weyl semimetal CeAlSi. The anomalous Hall conductivity ({\sigma}_ij^A) was measured for two different orientations of the magnetic…

Weyl semimetals (WSM) are topologically protected three dimensional materials whose low energy excitations are linearly dispersing massless Dirac fermions, possessing a non-trivial Berry curvature. Using semi-classical Boltzmann dynamics in…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari

We analyze the effect of the tilt on the transverse thermoelectric coefficient of Weyl semimetals in the \emph{conformal} limit, i.e., zero temperature and zero chemical potential. Using the Kubo formalism, we find a nonmonotonic behavior…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Thorvald M. Ballestad , Alberto Cortijo , María A. H. Vozmediano , Alireza Qaiumzadeh

In this paper, we discuss the effect of a periodically driving circularly polarized laser beam in the high frequency limit, on the band structure and thermal transport properties of type-I and type-II Weyl semimetals (WSMs). We develop the…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Anirudha Menon , Debashree Chowdhury , Banasri Basu

Based on high-throughput first-principles calculations, we evaluated the anomalous Hall and anomalous Nernst conductivities of 266 transition-metal-based ferromagnetic compounds. Detailed analysis based on the symmetries and Berry…

Materials Science · Physics 2021-12-08 Ilias Samathrakis , Teng Long , Zeying Zhang , Harish K. Singh , Hongbin Zhang

We study the intrinsic and extrinsic Hall effects in disordered magnetic Weyl semimetals numerically. We show that in Weyl metals, where the Fermi energy deviates from the Weyl point, the Hall and longitudinal conductances exhibit a…

Mesoscale and Nanoscale Physics · Physics 2021-12-16 Koji Kobayashi , Kentaro Nomura

In ferromagnetic solids, even in absence of magnetic field, a transverse voltage can be generated by a longitudinal temperature gradient. This thermoelectric counterpart of the Anomalous Hall effect (AHE) is dubbed the Anomalous Nernst…

Materials Science · Physics 2020-04-02 Haiyang Yang , Wei You , Jialu Wang , Junwu Huang , Chuanying Xi , Chao Cao , Mingliang Tian , Zhu-An Xu , Jianhui Dai , Yuke Li

Dirac semimetals are three dimensional analog of graphene with massless Dirac fermions as low energy electronic excitations. In contrast to Weyl semimetals, the point nodes in the bulk spectrum of topological Dirac semimetals have a…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Christopher Moore , Subhodip Saha , Sumanta Tewari

Anomalous Nernst effect, as a thermal partner of anomalous Hall effect, is particularly sensitive to the Berry curvature anomaly near the Fermi level, and has been used to probe the topological nature of quantum materials. In this work, we…

Materials Science · Physics 2025-03-17 Haiyang Yang , Qi Wang , Junwu Huang , Zhouliang Wang , Keqi Xia , Chao Cao , Mingliang Tian , Zhuan Xu , Jianhui Dai , Yuke Li

A large anomalous Nernst effect is essential for thermoelectric energy harvesting in the transverse geometry without external magnetic field. It is often connected with anomalous Hall effect, especially when electronic Berry curvature is…

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