skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Magnetoresistance in relativistic hydrodynamics without anomalies

Abstract

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 non-anomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galilean-invariant 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 field-dependent corrections to the gradient expansion and the effects of long-wavelength impurities on magnetoresistance. We note that the holographic D3/D7 system exhibits negative magnetoresistance.

Authors:
 [1];  [1];  [2]
  1. Univ. of Washington, Seattle, WA (United States)
  2. Stanford Univ., CA (United States)
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1426888
Alternate Identifier(s):
OSTI ID: 1595218
Grant/Contract Number:  
SC0011637
Resource 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 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Baumgartner, Andrew, Karch, Andreas, and Lucas, Andrew. Magnetoresistance in relativistic hydrodynamics without anomalies. United States: N. p., 2017. 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. Mon . "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 non-anomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galilean-invariant 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 field-dependent corrections to the gradient expansion and the effects of long-wavelength 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Metallic AdS/CFT
journal, September 2007


Viscous magnetoresistance of correlated electron liquids
journal, March 2017


Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs
journal, August 2015


Dirac versus Weyl Fermions in Topological Insulators: Adler-Bell-Jackiw Anomaly in Transport Phenomena
journal, December 2013


Thermoelectric response of an interacting two-dimensional electron gas in a quantizing magnetic field
journal, January 1997


Generalized global symmetries and dissipative magnetohydrodynamics
journal, May 2017


Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
journal, December 2015

  • Li, Cai-Zhen; Wang, Li-Xian; Liu, Haiwen
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms10137

Adding flavor to AdS/CFT
journal, June 2002


Locally Critical Resistivities from Umklapp Scattering
journal, June 2012


Magnetoconductivity in chiral Lifshitz hydrodynamics
journal, September 2015


Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
journal, February 2016


Hydrodynamics on the lowest Landau level
journal, June 2015


Hydrodynamic transport in strongly coupled disordered quantum field theories
journal, October 2015


Relativistic magnetohydrodynamics
journal, May 2017


Thermodynamics of polarized relativistic matter
journal, July 2016


Memory matrix theory of magnetotransport in strange metals
journal, May 2015


The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
journal, November 1983


Holographic flavor transport in arbitrary constant background fields
journal, October 2009


Dissecting holographic conductivities
journal, September 2015

  • Davison, Richard A.; Goutéraux, Blaise
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)090

Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
journal, August 2016

  • Lucas, Andrew; Davison, Richard A.; Sachdev, Subir
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 34
  • DOI: 10.1073/pnas.1608881113

Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
journal, February 2016


Axial anomaly and longitudinal magnetoresistance of a generic three-dimensional metal
journal, August 2015


Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013


Slow imbalance relaxation and thermoelectric transport in graphene
journal, February 2009


Chiral magnetic effect in ZrTe5
journal, February 2016

  • Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng
  • Nature Physics, Vol. 12, Issue 6
  • DOI: 10.1038/nphys3648

Anomalous magnetoconductivity and relaxation times in holography
journal, July 2015

  • Jimenez-Alba, Amadeo; Landsteiner, Karl; Liu, Yan
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)117

Negative magnetoresistance in Dirac semimetal Cd3As2
journal, January 2016

  • Li, Hui; He, Hongtao; Lu, Hai-Zhou
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10301

Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes
journal, October 2007


The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
journal, June 2016

  • Hirschberger, Max; Kushwaha, Satya; Wang, Zhijun
  • Nature Materials, Vol. 15, Issue 11
  • DOI: 10.1038/nmat4684

Hydrodynamic Description of Transport in Strongly Correlated Electron Systems
journal, June 2011


Magnetotransport from the fluid/gravity correspondence
journal, October 2015


Negative Magnetoresistance in Viscous Flow of Two-Dimensional Electrons
journal, October 2016


Evidence for the chiral anomaly in the Dirac semimetal Na3Bi
journal, September 2015


Momentum relaxation from the fluid/gravity correspondence
journal, September 2015


An Introduction to Quantum Field Theory
journal, August 1996

  • Peskin, Michael E.; Schroeder, Daniel V.; Martinec, Emil
  • Physics Today, Vol. 49, Issue 8
  • DOI: 10.1063/1.2807734