Built on

F. Benini, C. P. Herzog, R. Rahman, and A. Yarom, Gauge gravity duality for d-wave superconductors: prospects and challenges
Original
1981
Earlier work this paper cites.
D. Sudarsky and R. M. Wald, Extrema of mass, stationarity, and staticity, and solutions to the Einstein Yang-Mills equations
Original
1992
Earlier work this paper cites.
P. W. Anderson, Infrared conductivity of cuprate metals: Detailed fit using luttinger-liquid theory
1997
Earlier work this paper cites.
T. Kato and M. Imada, Thermodynamics and Optical Conductivity of a Dissipative Carrier in a Tight Binding Model
1998
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
D. v. d. Marel, H. J. A. Molegraaf, J. Zaanen, Z. Nussinov, F. Carbone, A. Damascelli, H. Eisaki, M. Greven, P. H. Kes, and M. Li, Quantum critical behaviour in a high-T c
2003
Earlier work this paper cites.
A. V. Boris, N. N. Kovaleva, O. V. Dolgov, T. Holden, C. T. Lin, B. Keimer, and C. Bernhard, In-Plane Spectral Weight Shift of Charge Carriers in YBa 2 {\mathrm{YBa}}_{2} Cu 3 {\mathrm{Cu}}_{3} O 6.9 {\mathrm{O}}_{6.9}
2004
Earlier work this paper cites.
C. C. Homes, S. V. Dordevic, T. Valla, and M. Strongin, Scaling of the superfluid density in high-temperature superconductors
2005
Earlier work this paper cites.
D. van der Marel, F. Carbone, A. B. Kuzmenko, and E. Giannini, Scaling properties of the optical conductivity of Bi-based cuprates
2006
Earlier work this paper cites.
M. R. Norman and A. V. Chubukov, High-frequency behavior of the infrared conductivity of cuprates
2006
Earlier work this paper cites.
J. Hwang, T. Timusk, and G. D. Gu, Doping dependent optical properties of Bi 2
2007
Earlier work this paper cites.
K. K. Gomes, A. N. Pasupathy, A. Pushp, S. Ono, Y. Ando, and A. Yazdani, Visualizing pair formation on the atomic scale in the high-T c
Original
2007
Earlier work this paper cites.

Similar

New York, NY: Springer, 2007
J. Orenstein, Optical Conductivity and spatial inhomogeneity in cuprate superconductors · 2007
Cited alongside, same era.
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Building a Holographic Superconductor
Original
2008
Cited alongside, same era.
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Holographic Superconductors
Original
2008
Cited alongside, same era.
S. S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon
Original
2008
Cited alongside, same era.
G. T. Horowitz and M. M. Roberts, Holographic Superconductors with Various Condensates
Original
2008
Cited alongside, same era.

Then

D. R. Gulotta, C. P. Herzog, and M. Kaminski, Sum Rules from an Extra Dimension
Original
2011
Later among the works it cites.
T. Faulkner, G. T. Horowitz, and M. M. Roberts, Holographic quantum criticality from multi-trace deformations
Original
2011
Later among the works it cites.
G. T. Horowitz, J. E. Santos, and D. Tong, Optical Conductivity with Holographic Lattices
Original
2012
Later among the works it cites.
G. T. Horowitz, J. E. Santos, and D. Tong, Further Evidence for Lattice-Induced Scaling
Original
2012
Later among the works it cites.
S. A. Hartnoll and D. M. Hofman, Locally Critical Resistivities from Umklapp Scattering
Original

Beyond the bibliography

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2013

General Relativity and the Cuprates

Horowitz, Gary T., Santos, Jorge E.

Understand

We add a periodic potential to the simplest gravitational model of a superconductor and compute the optical conductivity.

In addition to a superfluid component, we find a normal component that has Drude behavior at low frequency followed by a power law fall-off.
Both the exponent and coefficient of the power law are temperature independent and agree with earlier results computed above $T_c$.
These results are in striking agreement with measurements on some cuprates.

Built on

F. Benini, C. P. Herzog, R. Rahman, and A. Yarom, Gauge gravity duality for d-wave superconductors: prospects and challenges
Original
1981
Earlier work this paper cites.
D. Sudarsky and R. M. Wald, Extrema of mass, stationarity, and staticity, and solutions to the Einstein Yang-Mills equations
Original
1992
Earlier work this paper cites.
P. W. Anderson, Infrared conductivity of cuprate metals: Detailed fit using luttinger-liquid theory
1997
Earlier work this paper cites.
T. Kato and M. Imada, Thermodynamics and Optical Conductivity of a Dissipative Carrier in a Tight Binding Model
1998
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
D. v. d. Marel, H. J. A. Molegraaf, J. Zaanen, Z. Nussinov, F. Carbone, A. Damascelli, H. Eisaki, M. Greven, P. H. Kes, and M. Li, Quantum critical behaviour in a high-T c
2003
Earlier work this paper cites.
A. V. Boris, N. N. Kovaleva, O. V. Dolgov, T. Holden, C. T. Lin, B. Keimer, and C. Bernhard, In-Plane Spectral Weight Shift of Charge Carriers in YBa 2 {\mathrm{YBa}}_{2} Cu 3 {\mathrm{Cu}}_{3} O 6.9 {\mathrm{O}}_{6.9}
2004
Earlier work this paper cites.
C. C. Homes, S. V. Dordevic, T. Valla, and M. Strongin, Scaling of the superfluid density in high-temperature superconductors
2005
Earlier work this paper cites.
D. van der Marel, F. Carbone, A. B. Kuzmenko, and E. Giannini, Scaling properties of the optical conductivity of Bi-based cuprates
2006
Earlier work this paper cites.
M. R. Norman and A. V. Chubukov, High-frequency behavior of the infrared conductivity of cuprates
2006
Earlier work this paper cites.
J. Hwang, T. Timusk, and G. D. Gu, Doping dependent optical properties of Bi 2
2007
Earlier work this paper cites.
K. K. Gomes, A. N. Pasupathy, A. Pushp, S. Ono, Y. Ando, and A. Yazdani, Visualizing pair formation on the atomic scale in the high-T c
Original
2007
Earlier work this paper cites.

Similar

New York, NY: Springer, 2007
J. Orenstein, Optical Conductivity and spatial inhomogeneity in cuprate superconductors · 2007
Cited alongside, same era.
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Building a Holographic Superconductor
Original
2008
Cited alongside, same era.
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Holographic Superconductors
Original
2008
Cited alongside, same era.
S. S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon
Original
2008
Cited alongside, same era.
G. T. Horowitz and M. M. Roberts, Holographic Superconductors with Various Condensates
Original
2008
Cited alongside, same era.

Then

D. R. Gulotta, C. P. Herzog, and M. Kaminski, Sum Rules from an Extra Dimension
Original
2011
Later among the works it cites.
T. Faulkner, G. T. Horowitz, and M. M. Roberts, Holographic quantum criticality from multi-trace deformations
Original
2011
Later among the works it cites.
G. T. Horowitz, J. E. Santos, and D. Tong, Optical Conductivity with Holographic Lattices
Original
2012
Later among the works it cites.
G. T. Horowitz, J. E. Santos, and D. Tong, Further Evidence for Lattice-Induced Scaling
Original
2012
Later among the works it cites.
S. A. Hartnoll and D. M. Hofman, Locally Critical Resistivities from Umklapp Scattering
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

G. T. Horowitz and M. M. Roberts, Zero Temperature Limit of Holographic Superconductors

Original

2009

Cited alongside, same era.

M. Headrick, S. Kitchen, and T. Wiseman, A New approach to static numerical relativity, and its application to Kaluza-Klein black holes

Original

2010

Cited alongside, same era.

J. Sonner and B. Withers, A gravity derivation of the Tisza-Landau Model in AdS/CFT

Original

2010

Cited alongside, same era.

R. Flauger, E. Pajer, and S. Papanikolaou, A Striped Holographic Superconductor

Original

2011

Cited alongside, same era.

P. Figueras, J. Lucietti, and T. Wiseman, Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua

Original

2011

Cited alongside, same era.

G. T. Horowitz, J. E. Santos, and B. Way, A Holographic Josephson Junction

Original

2011

Cited alongside, same era.

A. El Azrak, R. Nahoum, N. Bontemps, M. Guilloux-Viry, C. Thivet, A. Perrin, S. Labdi, Z. Z. Li, and H. Raffy, Infrared properties of YBa 2 {\mathrm{YBa}}_{2} Cu 3 {\mathrm{Cu}}_{3} O 7 {\mathrm{O}}_{7} and Bi 2 {\mathrm{Bi}}_{2} Sr 2 {\mathrm{Sr}}_{2} Ca n − 1 {\mathrm{Ca}}_{\mathit{n}\mathrm{-}1} Cu n {\mathrm{Cu}}_{\mathit{n}} O 2 n + 4 {\mathrm{O}}_{2\mathit{n}+4} thin films

Cited in the paper.

2012

Later among the works it cites.

K. Maeda, T. Okamura, and J.-i. Koga, Inhomogeneous charged black hole solutions in asymptotically anti-de Sitter spacetime

Original

2012

Later among the works it cites.

Y. Liu, K. Schalm, Y.-W. Sun, and J. Zaanen, Lattice Potentials and Fermions in Holographic non Fermi-Liquids: Hybridizing Local Quantum Criticality

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2012

Later among the works it cites.

S. Ganguli, J. A. Hutasoit, and G. Siopsis, Enhancement of Critical Temperature of a Striped Holographic Superconductor