Built on

B. F. Schutz, “Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle,” Phys. Rev. D 2
1970
Earlier work this paper cites.
S. S. Gubser, A. Nellore, “Ground states of holographic superconductors,” Phys. Rev. D80
Original
1972
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P. K. Townsend, “Positive Energy And The Scalar Potential In Higher Dimensional (super)gravity Theories,” Phys. Lett. B148
1984
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M. Cubrovic, J. Zaanen, K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
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J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
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E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
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T. Senthil, S. Sachdev, M. Vojta, “Fractionalized Fermi liquids,” Phys. Rev. Lett. 90
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T. Senthil, M. Vojta, S. Sachdev, “Weak magnetism and non-Fermi liquids near heavy-fermion critical points,” Phys. Rev. B 69
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A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP 0509
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S. Kachru, X. Liu, M. Mulligan, “Gravity Duals of Lifshitz-like Fixed Points,” Phys. Rev. D78
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S. A. Hartnoll, C. P. Herzog, G. T. Horowitz, “Holographic Superconductors,” JHEP 0812
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2008
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2011

Fractionalization of holographic Fermi surfaces

Hartnoll, Sean A., Huijse, Liza

Understand

Zero temperature states of matter are holographically described by a spacetime with an asymptotic electric flux.

This flux can be sourced either by explicit charged matter fields in the bulk, by an extremal black hole horizon, or by a combination of the two.
We refer to these as mesonic, fully fractionalized and partially fractionalized phases of matter, respectively.
By coupling a charged fluid of fermions to an asymptotically AdS_4 Einstein-Maxwell-dilaton theory, we exhibit quantum phase transitions between all three of these phases.

Built on

B. F. Schutz, “Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle,” Phys. Rev. D 2
1970
Earlier work this paper cites.
S. S. Gubser, A. Nellore, “Ground states of holographic superconductors,” Phys. Rev. D80
Original
1972
Earlier work this paper cites.
P. K. Townsend, “Positive Energy And The Scalar Potential In Higher Dimensional (super)gravity Theories,” Phys. Lett. B148
1984
Earlier work this paper cites.
M. Cubrovic, J. Zaanen, K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
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.
T. Senthil, S. Sachdev, M. Vojta, “Fractionalized Fermi liquids,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
T. Senthil, M. Vojta, S. Sachdev, “Weak magnetism and non-Fermi liquids near heavy-fermion critical points,” Phys. Rev. B 69
2004
Earlier work this paper cites.
A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP 0509
2005
Earlier work this paper cites.
D. Mateos, R. C. Myers, R. M. Thomson, “Holographic phase transitions with fundamental matter,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
T. Senthil, “Critical fermi surfaces and non-fermi liquid metals,” Phys. Rev. B 78
Original
2008
Earlier work this paper cites.
S. S. Gubser, A. Nellore, “Mimicking the QCD equation of state with a dual black hole,” Phys. Rev. D78
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu, M. Mulligan, “Gravity Duals of Lifshitz-like Fixed Points,” Phys. Rev. D78
Original
2008
Earlier work this paper cites.
S. A. Hartnoll, C. P. Herzog, G. T. Horowitz, “Holographic Superconductors,” JHEP 0812
Original
2008
Earlier work this paper cites.