Nonlinear chiral transport phenomena

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, ∇T and ∇μ. Using the kinetic theory with Berry curvature corrections under the relaxation time approximation, we compute the transport...

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Bibliographic Details
Main Authors: Ishii, Takeaki, Pu, Shi, Yamamoto, Naoki, Chen, Jiunn-Wei
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/110480
Description
Summary: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, ∇T and ∇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 ∇μ×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.