Built on

A. Abrikosov, “Introduction to the Theory of Normal Metals.” (Academic Press, New York, 1972)
1972
Earlier work this paper cites.
C. P. Herzog, “Lectures on Holographic Superfluidity and Superconductivity,” J. Phys. A 42
Original
1975
Earlier work this paper cites.
W. A. Bardeen and B. Zumino, “Consistent and Covariant Anomalies in Gauge and Gravitational Theories,” Nucl.Phys. B244
1984
Earlier work this paper cites.
J. A. Harvey, “TASI 2003 lectures on anomalies,” hep-th/0509097
2003
Earlier work this paper cites.
K. Fukushima, D. E. Kharzeev and H. J. Warringa, “The Chiral Magnetic Effect,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
J. Erdmenger, M. Haack, M. Kaminski, and A. Yarom, “Fluid dynamics of R-charged black holes,” JHEP 0901
Original
2009
Earlier work this paper cites.
S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
E. D’Hoker and P. Kraus, “Charged Magnetic Brane Solutions in AdS (5) and the fate of the third law of thermodynamics,” JHEP 1003
Original
2010
Earlier work this paper cites.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Dutta, R. Loganayagam, and P. Surowka, “Hydrodynamics from charged black branes,” JHEP 1101
Original
2011
Earlier work this paper cites.
D. E. Kharzeev and H. U. Yee, “Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations,” Phys. Rev. D 84
Original
2011
Earlier work this paper cites.
K. Landsteiner, E. Megias and F. Pena-Benitez, “Gravitational Anomaly and Transport,” Phys. Rev. Lett. 107
Original
2011
Earlier work this paper cites.
K. Landsteiner, E. Megias, L. Melgar and F. Pena-Benitez, “Holographic Gravitational Anomaly and Chiral Vortical Effect,” JHEP 1109
Original
2011
Earlier work this paper cites.
X. G. Huang, A. Sedrakian and D. H. Rischke, “Kubo formulae for relativistic fluids in strong magnetic fields,” Annals Phys. 326
Original
2011
Earlier work this paper cites.
Y. Neiman and Y. Oz, “Relativistic Hydrodynamics with General Anomalous Charges,” JHEP 1103
Original
2011
Earlier work this paper cites.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla and T. Sharma, “Constraints on Fluid Dynamics from Equilibrium Partition Functions,” JHEP 1209
Original
2012
Earlier work this paper cites.
K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz and A. Yarom, “Towards hydrodynamics without an entropy current,” Phys. Rev. Lett. 109
Original
2012
Earlier work this paper cites.

Similar

R. Loganayagam and P. Surowka, “Anomaly/Transport in an Ideal Weyl gas,” JHEP 1204
Original
2012
Cited alongside, same era.
D. T. Son and N. Yamamoto, ‘Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids,” Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
M. A. Stephanov and Y. Yin, “Chiral Kinetic Theory,” Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
M. A. Stephanov and Y. Yin, “Chiral Kinetic Theory,” Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
P. Kovtun, “Lectures on hydrodynamic fluctuations in relativistic theories,” J. Phys. A 45
Original

Then

D. Roychowdhury, “Magnetoconductivity in chiral Lifshitz hydrodynamics,” JHEP 1509
Original
2015
Later among the works it cites.
N. Abbasi, A. Davody, K. Hejazi and Z. Rezaei, “Hydrodynamic Waves in an Anomalous Charged Fluid,” Phys. Lett. B 762
Original
2016
Later among the works it cites.
M. N. Chernodub, “Chiral Heat Wave and mixing of Magnetic, Vortical and Heat waves in chiral media,” JHEP 1601
Original
2016
Later among the works it cites.
A. Lucas, R. A. Davison and S. Sachdev, “Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals,” Proc. Nat. Acad. Sci. 113
Original
2016
Later among the works it cites.
P. Romatschke, “Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions,” Eur. Phys. J. C 76

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2018

Magneto-Transport in a Chiral Fluid from Kinetic Theory

Abbasi, Navid, Taghinavaz, Farid, Tavakol, Omid

Understand

We argue that in order to study the magneto-transport in a relativistic Weyl fluid, it is needed to take into account the associated quantum corrections, namely the side-jump effect, at least to second order.

To this end, we impose Lorentz invariance to a system of free Weyl fermions in the presence of the magnetic field and find the second order correction to the energy dispersion.
By developing a scheme to compute the integrals in the phase space, we show that the mentioned correction has non-trivial effects on the thermodynamics of the system.
Specifically, we predict the form of the negative magnetoresistance in the system from the enthalpy density in equilibrium.

Built on

A. Abrikosov, “Introduction to the Theory of Normal Metals.” (Academic Press, New York, 1972)
1972
Earlier work this paper cites.
C. P. Herzog, “Lectures on Holographic Superfluidity and Superconductivity,” J. Phys. A 42
Original
1975
Earlier work this paper cites.
W. A. Bardeen and B. Zumino, “Consistent and Covariant Anomalies in Gauge and Gravitational Theories,” Nucl.Phys. B244
1984
Earlier work this paper cites.
J. A. Harvey, “TASI 2003 lectures on anomalies,” hep-th/0509097
2003
Earlier work this paper cites.
K. Fukushima, D. E. Kharzeev and H. J. Warringa, “The Chiral Magnetic Effect,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
J. Erdmenger, M. Haack, M. Kaminski, and A. Yarom, “Fluid dynamics of R-charged black holes,” JHEP 0901
Original
2009
Earlier work this paper cites.
S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
E. D’Hoker and P. Kraus, “Charged Magnetic Brane Solutions in AdS (5) and the fate of the third law of thermodynamics,” JHEP 1003
Original
2010
Earlier work this paper cites.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Dutta, R. Loganayagam, and P. Surowka, “Hydrodynamics from charged black branes,” JHEP 1101
Original
2011
Earlier work this paper cites.
D. E. Kharzeev and H. U. Yee, “Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations,” Phys. Rev. D 84
Original
2011
Earlier work this paper cites.
K. Landsteiner, E. Megias and F. Pena-Benitez, “Gravitational Anomaly and Transport,” Phys. Rev. Lett. 107
Original
2011
Earlier work this paper cites.
K. Landsteiner, E. Megias, L. Melgar and F. Pena-Benitez, “Holographic Gravitational Anomaly and Chiral Vortical Effect,” JHEP 1109
Original
2011
Earlier work this paper cites.
X. G. Huang, A. Sedrakian and D. H. Rischke, “Kubo formulae for relativistic fluids in strong magnetic fields,” Annals Phys. 326
Original
2011
Earlier work this paper cites.
Y. Neiman and Y. Oz, “Relativistic Hydrodynamics with General Anomalous Charges,” JHEP 1103
Original
2011
Earlier work this paper cites.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla and T. Sharma, “Constraints on Fluid Dynamics from Equilibrium Partition Functions,” JHEP 1209
Original
2012
Earlier work this paper cites.
K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz and A. Yarom, “Towards hydrodynamics without an entropy current,” Phys. Rev. Lett. 109
Original
2012
Earlier work this paper cites.

Similar

R. Loganayagam and P. Surowka, “Anomaly/Transport in an Ideal Weyl gas,” JHEP 1204
Original
2012
Cited alongside, same era.
D. T. Son and N. Yamamoto, ‘Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids,” Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
M. A. Stephanov and Y. Yin, “Chiral Kinetic Theory,” Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
M. A. Stephanov and Y. Yin, “Chiral Kinetic Theory,” Phys. Rev. Lett. 109
Original
2012
Cited alongside, same era.
P. Kovtun, “Lectures on hydrodynamic fluctuations in relativistic theories,” J. Phys. A 45
Original

Then

D. Roychowdhury, “Magnetoconductivity in chiral Lifshitz hydrodynamics,” JHEP 1509
Original
2015
Later among the works it cites.
N. Abbasi, A. Davody, K. Hejazi and Z. Rezaei, “Hydrodynamic Waves in an Anomalous Charged Fluid,” Phys. Lett. B 762
Original
2016
Later among the works it cites.
M. N. Chernodub, “Chiral Heat Wave and mixing of Magnetic, Vortical and Heat waves in chiral media,” JHEP 1601
Original
2016
Later among the works it cites.
A. Lucas, R. A. Davison and S. Sachdev, “Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals,” Proc. Nat. Acad. Sci. 113
Original
2016
Later among the works it cites.
P. Romatschke, “Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions,” Eur. Phys. J. C 76

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

K. Landsteiner, E. Megias and F. Pena-Benitez, “Anomalous Transport from Kubo Formulae,” Lect. Notes Phys. 871

Original

2013

Cited alongside, same era.

K. Jensen, R. Loganayagam and A. Yarom, “Thermodynamics, gravitational anomalies and cones,” JHEP 1302

Original

2013

Cited alongside, same era.

D. T. Son, B. Z. Spivak “Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals,” Phys .Rev. B 88 (2013) 104412 [arXiv:11206.1627 [cond-mat]]

2013

Cited alongside, same era.

D. T. Son and N. Yamamoto, “Kinetic theory with Berry curvature from quantum field theories,” Phys. Rev. D 87

Original

2013

Cited alongside, same era.

V. I. Zakharov, “Chiral Magnetic Effect in Hydrodynamic Approximation,” Lect. Notes Phys. 871, 295 (2013) [arXiv:1210.2186 [hep-ph]]

Original

2013

Cited alongside, same era.

J. Y. Chen, D. T. Son, M. A. Stephanov, H. U. Yee and Y. Yin, “Lorentz Invariance in Chiral Kinetic Theory,” Phys. Rev. Lett. 113

Original