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Existing investigations of the anomalous Hall effect i.e. a current flowing transverse to the electric field in the absence of an external magnetic field) are concerned with the transport current. However, for many applications one needs to…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 P. G. Silvestrov , P. Recher

In the presence of the fluid helicity $\boldsymbol{v} \cdot \boldsymbol{\omega}$, the magnetic field induces an electric current of the form $\boldsymbol{j} = C_{\rm HME} (\boldsymbol{v} \cdot \boldsymbol{\omega}) \boldsymbol{B}$. This is…

High Energy Physics - Theory · Physics 2021-06-08 Naoki Yamamoto , Di-Lun Yang

We present a microscopic theory of diffusive magnetotransport in Weyl metals and clarify its relation to chiral anomaly. We derive coupled diffusion equations for the total and axial charge densities and show that chiral anomaly manifests…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 A. A. Burkov

We investigate electrical transport in a three-dimensional massless Dirac fermion model that describes a Dirac semimetal state realized in topological materials. We derive a set of interdependent diffusion equations with eight local degrees…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 Nobuyuki Okuma , Masao Ogata

Through analyzing the quark propagator under the magnetic field, we establish that the axial anomaly originates from an additional Dirac structure in quark propagator induced by the magnetic field. This Dirac structure also allows one to…

High Energy Physics - Theory · Physics 2026-04-28 Fei Gao , Yi Lu , Minghui Ding , Xinyang Wang , Yuxin Liu

We study the current of chiral charge density in a Dirac semimetal with two Dirac points in momentum space, subjected to an externally applied time dependent electric field and in the presence of a magnetic field. Based on the kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-12-06 Alexander A. Zyuzin , M. Silaev , Vladimir A. Zyuzin

Despite recent advancements in the study and understanding of the phase diagram of strongly interacting matter, the region of high baryonic densities and low temperatures has remained difficult to reach in the lab. Things are expected to…

Nuclear Theory · Physics 2017-06-28 Vivian de la Incera

We compute the magneto-conductance of a short junction made out of a Weyl semi-metal. We show that it displays quantum oscillations at low magnetic field and low temperature, before reaching a universal high-field regime where it increases…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 Thibaud Louvet , Manuel Houzet , David Carpentier

Chirality transfer between fermions and gauge fields plays a crucial role for understanding the dynamics of anomalous transport phenomena such as the Chiral Magnetic Effect. In this proceeding we present a first principles study of these…

High Energy Physics - Phenomenology · Physics 2021-02-03 M. Mace , N. Mueller , S. Schlichting , S. Sharma

Chiral Magnetic Effect and Chiral Vortical Effect are parity odd transport phenomena originating from chiral anomaly, and have generalizations to all even dimensional space-time higher than four dimensions. We attempt to compute the…

High Energy Physics - Theory · Physics 2014-09-24 Ho-Ung Yee

We study the magnetoconductivity induced by the axial anomaly via the chiral magnetic effect in strongly coupled holographic models. An important ingredient in our models is that the axial charge is non-conserved beyond the axial anomaly.…

High Energy Physics - Theory · Physics 2015-05-05 Amadeo Jimenez-Alba , Karl Landsteiner , Yan Liu , Ya-Wen Sun

From a direct calculation of the anomalous Hall conductivity and an effective electromagnetic action obtained via Fujikawa's chiral rotation technique, we conclude that an axionic field theory with a non-quantized coefficient describes the…

Mesoscale and Nanoscale Physics · Physics 2013-12-17 Pallab Goswami , Sumanta Tewari

The mechanism of the anomalous Hall transport phenomena, if it is of the intrinsic or extrinsic origin, has been controversial. We present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature, in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

The topological Hall effect is a hallmark of topologically non-trivial magnetic textures such as magnetic skyrmions. It quantifies the transverse electric current that is generated once an electric field is applied and occurs as a…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Börge Göbel , Lennart Schimpf , Ingrid Mertig

Tilted off-plane magnetic anisotropy induces two unusual characteristic magnetotransport phenomena: extraordinary Hall effect in the presence of an in-plane magnetic field, and non-monotonic anisotropic magnetoresistance in the presence of…

Materials Science · Physics 2021-05-12 Noga Eden , Gregory Kopnov , Shachar Fraenkel , Moshe Goldstein , Alexander Gerber

We discuss the connection between the integer moments of the Fermi distribution function that occur in the Sommerfeld expansion and the coefficients that occur in anomalous conservation laws for chiral fermions. As an illustration we…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Michael Stone , JiYoung Kim

We investigate the electric and thermal transport properties in a disordered Weyl ferromagnet on an equal footing by using the Keldysh formalism in curved spacetime. In particular, we calculate the anomalous thermal Hall conductivity, which…

Mesoscale and Nanoscale Physics · Physics 2017-04-06 Atsuo Shitade

Magnetic and anomalous Hall conductivities induce anomalous transport features and novel optical phenomena in chiral systems. Here, we investigate reflection properties on the surface of a medium ruled by axion electrodynamics, which…

Other Condensed Matter · Physics 2025-07-25 Pedro D. S. Silva , Alex Q. Costa , Ronald A. Pereira , Manoel M. Ferreira

At the earliest times after a heavy-ion collision, the magnetic field created by the spectator nucleons will generate an extremely strong, albeit rapidly decreasing in time, magnetic field. The impact of this magnetic field may have…

High Energy Physics - Phenomenology · Physics 2020-04-22 Gabriele Inghirami , Mark Mace , Yuji Hirono , Luca Del Zanna , Dmitri E. Kharzeev , Marcus Bleicher

Itinerant ferromagnets constitute an important class of materials wherein spin-polarization can affect the electric transport properties in nontrivial ways. One such phenomenon is anomalous Hall effect which depends on the details of the…