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Nonlinear chiral transport phenomena

Jiunn-Wei Chen^1,2, Takeaki Ishii³, Shi Pu⁴, and Naoki Yamamoto³

¹Department of Physics, Center for Theoretical Sciences, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 10617, Taiwan
²Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
³Department of Physics, Keio University, Yokohama 223-8522, Japan
⁴Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany

Phys. Rev. D 93, 125023 – Published 20 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.125023

Abstract

We study the nonlinear responses of relativistic chiral matter to the external fields such as the electric field $E$ , gradients of temperature and chemical potential, $\nabla T$ and $\nabla μ$ . Using the kinetic theory with Berry curvature corrections under the relaxation time approximation, we compute the transport coefficients of possible new electric currents that are forbidden in usual chirally symmetric matter but are allowed in chirally asymmetric matter by parity. In particular, we find a new type of electric current proportional to $\nabla μ \times E$ due to the interplay between the effects of the Berry curvature and collisions. We also derive an analog of the “Wiedemann-Franz” law specific for anomalous nonlinear transport in relativistic chiral matter.

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Nonlinear chiral transport phenomena

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