Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” JHEP 1206
Original
1905
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, ÒThe finite group velocity of quantum spin systems,Ó Commun. Math. Phys. 28, 251 (1972)
1972
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253
1985
Earlier work this paper cites.
K. Sfetsos, “On gravitational shock waves in curved space-times,” Nucl. Phys. B 436
1995
Earlier work this paper cites.
S.Sachdev and K.Damle “Non-zero temperature transport near quantum critical points” Physical Review B 56, 8714 (1997). arXiv:cond-mat/9705206
1997
Earlier work this paper cites.
S. Sachdev, “Quantum phase transitions”, CUP, 1999
1999
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP 0310
2003
Earlier work this paper cites.
J. Zaanen, “Superconductivity: Why the temperature is high” Nature 430, 512 (2004)
2004
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
P. Kovtun and A. Ritz, “Universal conductivity and central charges,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. Iqbal and H. Liu, “Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.
S. A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, “Towards strange metallic holography,” JHEP 1004
Original
2010
Earlier work this paper cites.

Similar

C. Charmousis, B. Gouteraux, B. S. Kim, E. Kiritsis and R. Meyer, “Effective Holographic Theories for low-temperature condensed matter systems,” JHEP 1011
Original
2010
Cited alongside, same era.
D. W. Pang, “Conductivity and Diffusion Constant in Lifshitz Backgrounds,” JHEP 1001
Original
2010
Cited alongside, same era.
B. Gouteraux and E. Kiritsis, “Generalized Holographic Quantum Criticality at Finite Density,” JHEP 1112
Original
2011
Cited alongside, same era.
A. Rebhan and D. Steineder, “Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma,” Phys. Rev. Lett. 108
Original
2012
Cited alongside, same era.
K. A. Mamo, “Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma,” JHEP 1210

Then

T. Andrade and B. Withers, “A simple holographic model of momentum relaxation,” JHEP 1405
Original
2014
Later among the works it cites.
M. Blake, D. Tong and D. Vegh, “Holographic Lattices Give the Graviton an Effective Mass,” Phys. Rev. Lett. 112
Original
2014
Later among the works it cites.
S. A. Hartnoll, “Theory of universal incoherent metallic transport,” Nature Phys. 11
Original
2015
Later among the works it cites.
S. Jain, R. Samanta and S. P. Trivedi, “The Shear Viscosity in Anisotropic Phases,” JHEP 1510
Original
2015
Later among the works it cites.
S. Jain, N. Kundu, K. Sen, A. Sinha and S. P. Trivedi, “A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography,” JHEP 1501

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2016

Universal Charge Diffusion and the Butterfly Effect

Blake, Mike

Understand

We study charge diffusion in holographic scaling theories with a particle-hole symmetry.

We show that these theories have a universal regime in which the diffusion constant is given by $D_c = C v_B^2/ (2 \pi T)$ where $v_B$ is the velocity of the butterfly effect.
The constant of proportionality, $C$, depends only on the scaling exponents of the infra-red theory.
Our results suggest an unexpected connection between transport at strong coupling and quantum chaos.

Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” JHEP 1206
Original
1905
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, ÒThe finite group velocity of quantum spin systems,Ó Commun. Math. Phys. 28, 251 (1972)
1972
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253
1985
Earlier work this paper cites.
K. Sfetsos, “On gravitational shock waves in curved space-times,” Nucl. Phys. B 436
1995
Earlier work this paper cites.
S.Sachdev and K.Damle “Non-zero temperature transport near quantum critical points” Physical Review B 56, 8714 (1997). arXiv:cond-mat/9705206
1997
Earlier work this paper cites.
S. Sachdev, “Quantum phase transitions”, CUP, 1999
1999
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP 0310
2003
Earlier work this paper cites.
J. Zaanen, “Superconductivity: Why the temperature is high” Nature 430, 512 (2004)
2004
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
P. Kovtun and A. Ritz, “Universal conductivity and central charges,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. Iqbal and H. Liu, “Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.
S. A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, “Towards strange metallic holography,” JHEP 1004
Original
2010
Earlier work this paper cites.

Similar

C. Charmousis, B. Gouteraux, B. S. Kim, E. Kiritsis and R. Meyer, “Effective Holographic Theories for low-temperature condensed matter systems,” JHEP 1011
Original
2010
Cited alongside, same era.
D. W. Pang, “Conductivity and Diffusion Constant in Lifshitz Backgrounds,” JHEP 1001
Original
2010
Cited alongside, same era.
B. Gouteraux and E. Kiritsis, “Generalized Holographic Quantum Criticality at Finite Density,” JHEP 1112
Original
2011
Cited alongside, same era.
A. Rebhan and D. Steineder, “Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma,” Phys. Rev. Lett. 108
Original
2012
Cited alongside, same era.
K. A. Mamo, “Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma,” JHEP 1210

Then

T. Andrade and B. Withers, “A simple holographic model of momentum relaxation,” JHEP 1405
Original
2014
Later among the works it cites.
M. Blake, D. Tong and D. Vegh, “Holographic Lattices Give the Graviton an Effective Mass,” Phys. Rev. Lett. 112
Original
2014
Later among the works it cites.
S. A. Hartnoll, “Theory of universal incoherent metallic transport,” Nature Phys. 11
Original
2015
Later among the works it cites.
S. Jain, R. Samanta and S. P. Trivedi, “The Shear Viscosity in Anisotropic Phases,” JHEP 1510
Original
2015
Later among the works it cites.
S. Jain, N. Kundu, K. Sen, A. Sinha and S. P. Trivedi, “A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography,” JHEP 1501

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

L. Huijse, S. Sachdev and B. Swingle, “Hidden Fermi surfaces in compressible states of gauge-gravity duality,” Phys. Rev. B 85

Original

2012

Cited alongside, same era.

J. A. N. Bruin, H. Sakai, R. S. Perry and A. P. Mackenzie, ÒSimilarity of Scattering Rates in Metals Showing T-Linear Resistivity,Ó Science 339, 804 (2013)

2013

Cited alongside, same era.

M. Blake and D. Tong, “Universal Resistivity from Holographic Massive Gravity,” Phys. Rev. D 88

Original

2013

Cited alongside, same era.

S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403

Original

2014

Cited alongside, same era.

S. H. Shenker and D. Stanford, “Multiple Shocks,” JHEP 1412

Original