Magnetoresistance in relativistic hydrodynamics without anomalies
We present expressions for the magnetoconductivity and the magnetoresistance of a strongly interacting metal in 3 + 1 dimensions, derivable from relativistic hydrodynamics. Such an approach is suitable for ultraclean metals with emergent Lorentz invariance. When this relativistic fluid contains chiral anomalies, it is known to exhibit longitudinal negative magnetoresistance. We show that similar effects can arise in nonanomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galileaninvariant fluid, the resistivity tensor of a dirty relativistic fluid exhibits similar angular dependence to negative magnetoresistance, even when the constitutive relations and momentum relaxation rate are isotropic. We further account for the effect of magnetic fielddependent corrections to the gradient expansion and the effects of longwavelength impurities on magnetoresistance. We note that the holographic D3/D7 system exhibits negative magnetoresistance.
 Authors:

^{[1]};
^{[1]};
^{[2]}
 Univ. of Washington, Seattle, WA (United States)
 Stanford Univ., CA (United States)
 Publication Date:
 Grant/Contract Number:
 SC0011637
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Washington, Seattle, WA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1426888
Baumgartner, Andrew, Karch, Andreas, and Lucas, Andrew. Magnetoresistance in relativistic hydrodynamics without anomalies. United States: N. p.,
Web. doi:10.1007/JHEP06(2017)054.
Baumgartner, Andrew, Karch, Andreas, & Lucas, Andrew. Magnetoresistance in relativistic hydrodynamics without anomalies. United States. doi:10.1007/JHEP06(2017)054.
Baumgartner, Andrew, Karch, Andreas, and Lucas, Andrew. 2017.
"Magnetoresistance in relativistic hydrodynamics without anomalies". United States.
doi:10.1007/JHEP06(2017)054. https://www.osti.gov/servlets/purl/1426888.
@article{osti_1426888,
title = {Magnetoresistance in relativistic hydrodynamics without anomalies},
author = {Baumgartner, Andrew and Karch, Andreas and Lucas, Andrew},
abstractNote = {We present expressions for the magnetoconductivity and the magnetoresistance of a strongly interacting metal in 3 + 1 dimensions, derivable from relativistic hydrodynamics. Such an approach is suitable for ultraclean metals with emergent Lorentz invariance. When this relativistic fluid contains chiral anomalies, it is known to exhibit longitudinal negative magnetoresistance. We show that similar effects can arise in nonanomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galileaninvariant fluid, the resistivity tensor of a dirty relativistic fluid exhibits similar angular dependence to negative magnetoresistance, even when the constitutive relations and momentum relaxation rate are isotropic. We further account for the effect of magnetic fielddependent corrections to the gradient expansion and the effects of longwavelength impurities on magnetoresistance. We note that the holographic D3/D7 system exhibits negative magnetoresistance.},
doi = {10.1007/JHEP06(2017)054},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2017,
place = {United States},
year = {2017},
month = {6}
}