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Temperature gradient in a ferromagnetic conductor may generate a spontaneous transverse voltage drop in the direction perpendicular to both magnetization and heat current. This anomalous Nernst effect (ANE) has been considered to be…

In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this…

High Energy Physics - Theory · Physics 2018-09-26 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , M. Paulisic , T. Stemberga

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

Recently it is found that, due to Weyl anomaly, an external magnetic field can induce anomalous currents near a boundary. In this note, we study anomalous currents for complex scalars and Dirac fields in general dimensions. We develop a…

High Energy Physics - Theory · Physics 2020-07-01 Peng-Ju Hu , Qi-Lin Hu , Rong-Xin Miao

Semiclassical approach has been developed for the one-dimensional interacting fermion systems. Starting from the incommensurate spin density wave (SDW) mean field state for the repulsive Hubbard model in 1D, the non-Abelian bosonized…

Condensed Matter · Physics 2009-10-22 Naoto Nagaosa , Masaki Oshikawa

I study variations of the fermionic determinant for a nonabelian Dirac fermion with external vector and axial vector sources. I consider different regularizations, leading to different chiral anomalies when the variations are chiral…

High Energy Physics - Theory · Physics 2007-05-23 Jan B. Thomassen

Weyl points are isolated degeneracies in reciprocal space that are monopoles of the Berry curvature. This topological charge makes them inherently robust to Hermitian perturbations of the system. However, non-Hermitian effects, usually…

It has recently been realized that the first-order moment of the Berry curvature, namely the Berry curvature dipole (BCD) can give rise to non-linear current in a wide variety of time-reversal invariant and non-centrosymmetric materials.…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Sai Satyam Samal , S. Nandy , Kush Saha

A static electric field generates circulating currents at the surfaces of a magnetoelectric insulator. The anomalous Hall part of the surface conductivity tensor describing such bound currents can change by multiples of $e^2/h$ depending on…

Mesoscale and Nanoscale Physics · Physics 2018-09-07 Tomáš Rauch , Thomas Olsen , David Vanderbilt , Ivo Souza

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

Introducing both the Berry curvature and chiral anomaly into the Landau's Fermi-liquid theory, we investigate collective dynamics of Fermi-surface fluctuations and reveal their instabilities in an interacting Weyl metal phase with broken…

Strongly Correlated Electrons · Physics 2018-10-23 Chungwon Jeong , Ki-Seok Kim

Weyl semimetals (WSMs) are three-dimensional topological materials that exhibit fascinating properties due to the presence of Weyl nodes in their band structure. However, existing WSMs discovered so far often possess multiple pairs of Weyl…

We investigate the gravitational anomaly vertex $\langle TTJ_5\rangle$ (graviton - graviton - axial current) under conditions of finite density and temperature. Through a direct analysis of perturbative contributions, we demonstrate that…

High Energy Physics - Theory · Physics 2024-04-10 Claudio Corianò , Mario Cretì , Stefano Lionetti , Riccardo Tommasi

The condensed-matter version of the chiral anomaly describes how electrons are pumped from a Weyl node with negative chirality to a Weyl node with positive chirality using parallel electric and magnetic fields. Key experimental signatures…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Yongjian Wang , Alexander Wowchik , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

Precession and relaxation predominantly characterize the real-time dynamics of a spin driven by a magnetic field and coupled to a large Fermi sea of conduction electrons. We demonstrate an anomalous precession with frequency higher than the…

Mesoscale and Nanoscale Physics · Physics 2017-12-04 Christopher Stahl , Michael Potthoff

Results of combined thermal and electrical transport measurements through the magnetic field-induced quantum critical point in the heavy-fermion compound YbRh2Si2 are revisited to explore the relationship between the strange-metal behavior,…

Strongly Correlated Electrons · Physics 2025-12-04 Frank Steglich

We study the Schwinger model at finite temperature and show that a temperature dependent chiral anomaly may arise from the long distance behavior of the electric field. At high temperature this anomaly depends linearly on the temperature…

High Energy Physics - Theory · Physics 2011-02-16 Ashok Das , J. Frenkel

I analyze an atomic Fermi gas with a planar p-wave interaction, motivated by the experimentally observed anisotropy in p-wave Feshbach resonances. An axial superfluid state is verified. A domain wall object is discovered to be a new…

Other Condensed Matter · Physics 2007-05-23 W. Vincent Liu

Within Wigner function formalism, the chiral anomaly arises naturally from the Dirac sea contribution in un-normal-ordered Wigner function. For massless fermions, the Dirac sea contribution behaves like a 4-dimensional or 3-dimensional…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ren-Hong Fang , Jian-Hua Gao

As first realized by Witten an SU(2) gauge theory coupled to a single Weyl fermion suffers from a global anomaly. This problem is addressed here in the context of the recent developments on chiral gauge theories on the lattice. We find…

High Energy Physics - Lattice · Physics 2015-06-25 Oliver Baer , Isabel Campos
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