Built on

M. Čubrović, J. Zaanen, and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
G. T. Horowitz and R. C. Myers, “The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity,” Phys. Rev. D 59
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “AdS / CFT correspondence and symmetry breaking,” Nucl. Phys. B556
1999
Earlier work this paper cites.
I. R. Klebanov and M. J. Strassler, “Supergravity and a confining gauge theory: Duality cascades and χ \chi SB resolution of naked singularities,” JHEP 0008
2000
Earlier work this paper cites.
Y. Grossman and M. Neubert, “Neutrino masses and mixings in nonfactorizable geometry,” Phys. Lett. B 474
2000
Earlier work this paper cites.
T. Gherghetta and A. Pomarol, “Bulk fields and supersymmetry in a slice of AdS,” Nucl. Phys. B 586
2000
Earlier work this paper cites.
H. Davoudiasl, J. L. Hewett, and T. G. Rizzo, “Experimental probes of localized gravity: On and off the wall,” Phys. Rev. D 63
2001
Earlier work this paper cites.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, “Deconfined quantum critical points,” Science 303
2004
Earlier work this paper cites.
J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. A. Hartnoll, P. K. Kovtun, M. Müller, and S. Sachdev, “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes,” Phys. Rev. B76
Original
2007
Earlier work this paper cites.

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2011

A model of a Fermi liquid using gauge-gravity duality

Sachdev, Subir

Understand

We use gauge-gravity duality to model the crossover from a conformal critical point to a confining Fermi liquid, driven by a change in fermion density.

The short-distance conformal physics is represented by an anti-de Sitter geometry, which terminates into a confining state along the emergent spatial direction.
The Luttinger relation, relating the area enclosed by the Fermi surfaces to the fermion density, is shown to follow from Gauss's Law for the bulk electric field.
We argue that all low energy modes are consistent with Landau's Fermi liquid theory.

Built on

M. Čubrović, J. Zaanen, and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
G. T. Horowitz and R. C. Myers, “The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity,” Phys. Rev. D 59
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “AdS / CFT correspondence and symmetry breaking,” Nucl. Phys. B556
1999
Earlier work this paper cites.
I. R. Klebanov and M. J. Strassler, “Supergravity and a confining gauge theory: Duality cascades and χ \chi SB resolution of naked singularities,” JHEP 0008
2000
Earlier work this paper cites.
Y. Grossman and M. Neubert, “Neutrino masses and mixings in nonfactorizable geometry,” Phys. Lett. B 474
2000
Earlier work this paper cites.
T. Gherghetta and A. Pomarol, “Bulk fields and supersymmetry in a slice of AdS,” Nucl. Phys. B 586
2000
Earlier work this paper cites.
H. Davoudiasl, J. L. Hewett, and T. G. Rizzo, “Experimental probes of localized gravity: On and off the wall,” Phys. Rev. D 63
2001
Earlier work this paper cites.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, “Deconfined quantum critical points,” Science 303
2004
Earlier work this paper cites.
J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. A. Hartnoll, P. K. Kovtun, M. Müller, and S. Sachdev, “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes,” Phys. Rev. B76
Original
2007
Earlier work this paper cites.