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A. Bayntun, C. P. Burgess, B. P. Dolan and S. S. Lee, “AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments,” arXiv:1008.1917 [hep-th]
Original
1917
Earlier work this paper cites.
See, for example: S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Class. Quant. Grav. 26
Original
1975
Earlier work this paper cites.
M. P. A. Fisher, “Quantum phase transitions in disordered two-dimensional superconductors,” Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
L. W. Engel, D. Shahar, C. Kurdak, and D. C. Tsui, “Microwave frequency dependence of integer quantum Hall effect: Evidence for finite-frequency scaling,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
E. Fradkin and S. Kivelson, “Modular invariance, self-duality and the phase transition between quantum Hall plateaus,” Nucl. Phys. B 474
1996
Earlier work this paper cites.
D. Shahar, D. C. Tsui, M. Shayegan, E. Shimshoni, and S. L. Sondhi, “Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition,” Science 274
1996
Earlier work this paper cites.
K. Damle and S. Sachdev, “Non-zero temperature transport near quantum critical points,” Phys. Rev. B 56
1997
Earlier work this paper cites.
E. Shimshoni, S. L. Sondhi, and D. Shahar, “Duality near quantum Hall transitions,” Phys. Rev. B 55
1997
Earlier work this paper cites.
H. Osborn and A. C. Petkou, “Implications of Conformal Invariance in Field Theories for General Dimensions,” Annals Phys. 231
1997
Earlier work this paper cites.
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions
1999
Earlier work this paper cites.
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
C. P. Burgess and B. P. Dolan, “Particle-vortex duality and the modular group: Applications to the quantum Hall effect and other 2-D systems,” Phys. Rev. B 63
2001
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209
2002
Earlier work this paper cites.

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Then

M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “The Viscosity Bound and Causality Violation,” Phys. Rev. Lett. 100
Original
2008
Later among the works it cites.
R. C. Myers and M. C. Wapler, “Transport Properties of Holographic Defects,” JHEP 0812
Original
2008
Later among the works it cites.
M. Müller, J. Schmalian, and L. Fritz, “Graphene - a nearly perfect fluid,” Phys. Rev. Lett. 103
Original
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Later among the works it cites.
R. C. Myers, M. F. Paulos and A. Sinha, “Holographic Hydrodynamics with a Chemical Potential,” JHEP 0906
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Later among the works it cites.
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2010

Holographic Quantum Critical Transport without Self-Duality

Myers, Robert C., Sachdev, Subir, Singh, Ajay

Understand

We describe general features of frequency-dependent charge transport near strongly interacting quantum critical points in 2+1 dimensions.

The simplest description using the AdS/CFT correspondence leads to a self-dual Einstein-Maxwell theory on AdS_4, which fixes the conductivity at a frequency-independent self-dual value.
We describe the general structure of higher-derivative corrections to the Einstein-Maxwell theory, and compute their implications for the frequency dependence of the quantum-critical conductivity.
We show that physical consistency conditions on the higher-derivative terms allow only a limited frequency dependence in the conductivity.

Built on

A. Bayntun, C. P. Burgess, B. P. Dolan and S. S. Lee, “AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments,” arXiv:1008.1917 [hep-th]
Original
1917
Earlier work this paper cites.
See, for example: S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Class. Quant. Grav. 26
Original
1975
Earlier work this paper cites.
M. P. A. Fisher, “Quantum phase transitions in disordered two-dimensional superconductors,” Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
L. W. Engel, D. Shahar, C. Kurdak, and D. C. Tsui, “Microwave frequency dependence of integer quantum Hall effect: Evidence for finite-frequency scaling,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
E. Fradkin and S. Kivelson, “Modular invariance, self-duality and the phase transition between quantum Hall plateaus,” Nucl. Phys. B 474
1996
Earlier work this paper cites.
D. Shahar, D. C. Tsui, M. Shayegan, E. Shimshoni, and S. L. Sondhi, “Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition,” Science 274
1996
Earlier work this paper cites.
K. Damle and S. Sachdev, “Non-zero temperature transport near quantum critical points,” Phys. Rev. B 56
1997
Earlier work this paper cites.
E. Shimshoni, S. L. Sondhi, and D. Shahar, “Duality near quantum Hall transitions,” Phys. Rev. B 55
1997
Earlier work this paper cites.
H. Osborn and A. C. Petkou, “Implications of Conformal Invariance in Field Theories for General Dimensions,” Annals Phys. 231
1997
Earlier work this paper cites.
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions
1999
Earlier work this paper cites.
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
C. P. Burgess and B. P. Dolan, “Particle-vortex duality and the modular group: Applications to the quantum Hall effect and other 2-D systems,” Phys. Rev. B 63
2001
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209
2002
Earlier work this paper cites.

Similar

P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP 0310
2003
Cited alongside, same era.
O. I. Motrunich and A. Vishwanath, “Emergent photons and transitions in the O(3) sigma model with hedgehog suppression,” Phys. Rev. B 70
2004
Cited alongside, same era.
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
Cited alongside, same era.
See, for example: C. Vafa, “The string landscape and the swampland,” arXiv:hep-th/0509212; N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, “The string landscape, black holes and gravity as the weakest force,” JHEP 0706
Original
2006
Cited alongside, same era.
C. P. Herzog, P. Kovtun, S. Sachdev and D. T. Son, “Quantum critical transport, duality, and M-theory,” Phys. Rev. D 75

Then

M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “The Viscosity Bound and Causality Violation,” Phys. Rev. Lett. 100
Original
2008
Later among the works it cites.
R. C. Myers and M. C. Wapler, “Transport Properties of Holographic Defects,” JHEP 0812
Original
2008
Later among the works it cites.
M. Müller, J. Schmalian, and L. Fritz, “Graphene - a nearly perfect fluid,” Phys. Rev. Lett. 103
Original
2009
Later among the works it cites.
R. C. Myers, M. F. Paulos and A. Sinha, “Holographic Hydrodynamics with a Chemical Potential,” JHEP 0906
Original
2009
Later among the works it cites.
K. Hanaki, K. Ohashi and Y. Tachikawa, “Supersymmetric Completion of an R 2 R^{2} Term in Five-Dimensional Supergravity,” Prog. Theor. Phys. 117

Beyond the bibliography

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

Open on alphaXiv

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2007

Cited alongside, same era.

R. Crane, N. P. Armitage, A. Johansson, G. Sambandamurthy, D. Shahar, and G. Grüner, “Survival of superconducting correlations across the two-dimensional superconductor-insulator transition: A finite-frequency study,” Phys. Rev. B 75

2007

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R. C. Myers, A. O. Starinets and R. M. Thomson, “Holographic spectral functions and diffusion constants for fundamental matter,” JHEP 0711

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S. A. Hartnoll, P. K. Kovtun, M. Muller and S. Sachdev, “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes,” Phys. Rev. B 76

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M. Steiner, N. Breznay, and A. Kapitulnik, “Approach to a superconductor-to-Bose-insulator transition in disordered films,” Phys. Rev. B 77

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Z. Q. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, “Dirac charge dynamics in graphene by infrared spectroscopy,” Nature Physics 4

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Later among the works it cites.

A. Buchel and R. C. Myers, “Causality of Holographic Hydrodynamics,” JHEP 0908

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Later among the works it cites.

J. de Boer, M. Kulaxizi and A. Parnachev, “AdS 7 /CFT 6 , Gauss-Bonnet Gravity, and Viscosity Bound,” JHEP 1003

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