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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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
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author Ishii, Takeaki
Pu, Shi
Yamamoto, Naoki
Chen, Jiunn-Wei
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Ishii, Takeaki
Pu, Shi
Yamamoto, Naoki
Chen, Jiunn-Wei
author_sort Ishii, Takeaki
collection MIT
description 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.
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spelling mit-1721.1/1104802022-10-01T03:21:05Z Nonlinear chiral transport phenomena Ishii, Takeaki Pu, Shi Yamamoto, Naoki Chen, Jiunn-Wei Massachusetts Institute of Technology. Center for Theoretical Physics Chen, Jiunn-Wei 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. 2017-07-06T14:37:23Z 2017-07-06T14:37:23Z 2016-06 2016-04 2016-06-20T22:00:13Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/110480 Chen, Jiunn-Wei ; Ishii,Takeaki ; Pu, Shi and Yamamoto, Naoki. Physical Review D 93, 125023 (June 2016): 1-5 © 2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevD.93.125023 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Ishii, Takeaki
Pu, Shi
Yamamoto, Naoki
Chen, Jiunn-Wei
Nonlinear chiral transport phenomena
title Nonlinear chiral transport phenomena
title_full Nonlinear chiral transport phenomena
title_fullStr Nonlinear chiral transport phenomena
title_full_unstemmed Nonlinear chiral transport phenomena
title_short Nonlinear chiral transport phenomena
title_sort nonlinear chiral transport phenomena
url http://hdl.handle.net/1721.1/110480
work_keys_str_mv AT ishiitakeaki nonlinearchiraltransportphenomena
AT pushi nonlinearchiraltransportphenomena
AT yamamotonaoki nonlinearchiraltransportphenomena
AT chenjiunnwei nonlinearchiraltransportphenomena