Magneto-thermal transport implies an incoherent Hall conductivity

Abstract We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero in the magnetic field expansion. We apply our resu...

Full description

Bibliographic Details
Main Authors: Andrea Amoretti, Daniel K. Brattan, Nicodemo Magnoli, Marcello Scanavino
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2020)097
_version_ 1818201273392955392
author Andrea Amoretti
Daniel K. Brattan
Nicodemo Magnoli
Marcello Scanavino
author_facet Andrea Amoretti
Daniel K. Brattan
Nicodemo Magnoli
Marcello Scanavino
author_sort Andrea Amoretti
collection DOAJ
description Abstract We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero in the magnetic field expansion. We apply our result to the dyonic black hole, determining the incoherent Hall conductivity in that case, and additionally prove that the existence of this transport coefficient leads to a significantly better match between the hydrodynamic and AC thermo-electric correlators.
first_indexed 2024-12-12T02:50:56Z
format Article
id doaj.art-4210c0aa4986491dbd69b0d6f5ad396f
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-12T02:50:56Z
publishDate 2020-08-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-4210c0aa4986491dbd69b0d6f5ad396f2022-12-22T00:40:53ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020812310.1007/JHEP08(2020)097Magneto-thermal transport implies an incoherent Hall conductivityAndrea Amoretti0Daniel K. Brattan1Nicodemo Magnoli2Marcello Scanavino3Dipartimento di Fisica, Università di GenovaI.N.F.N. — Sezione di GenovaDipartimento di Fisica, Università di GenovaDipartimento di Fisica, Università di GenovaAbstract We consider magnetohydrodynamics with an external magnetic field. We find that in general one must allow for a non-zero incoherent Hall conductivity to correctly describe the DC longitudinal and Hall thermal conductivities beyond order zero in the magnetic field expansion. We apply our result to the dyonic black hole, determining the incoherent Hall conductivity in that case, and additionally prove that the existence of this transport coefficient leads to a significantly better match between the hydrodynamic and AC thermo-electric correlators.http://link.springer.com/article/10.1007/JHEP08(2020)097AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT)Gauge Symmetry
spellingShingle Andrea Amoretti
Daniel K. Brattan
Nicodemo Magnoli
Marcello Scanavino
Magneto-thermal transport implies an incoherent Hall conductivity
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
Gauge Symmetry
title Magneto-thermal transport implies an incoherent Hall conductivity
title_full Magneto-thermal transport implies an incoherent Hall conductivity
title_fullStr Magneto-thermal transport implies an incoherent Hall conductivity
title_full_unstemmed Magneto-thermal transport implies an incoherent Hall conductivity
title_short Magneto-thermal transport implies an incoherent Hall conductivity
title_sort magneto thermal transport implies an incoherent hall conductivity
topic AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
Gauge Symmetry
url http://link.springer.com/article/10.1007/JHEP08(2020)097
work_keys_str_mv AT andreaamoretti magnetothermaltransportimpliesanincoherenthallconductivity
AT danielkbrattan magnetothermaltransportimpliesanincoherenthallconductivity
AT nicodemomagnoli magnetothermaltransportimpliesanincoherenthallconductivity
AT marcelloscanavino magnetothermaltransportimpliesanincoherenthallconductivity