Built on

M. Cubrovic, J. Zaanen and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. H. Lee and R. D. Sorkin, “A Quantum Source Of Entropy For Black Holes,” Phys. Rev. D 34
1993
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.
M. M. Wolf, “Violation of the entropic area law for fermions”, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP 0608
2006
Earlier work this paper cites.
C. Pepin, “ Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice ,” Phys. Rev. Lett. 98
2007
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.
T. Azeyanagi, T. Nishioka, T. Takayanagi, “Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1),” Phys. Rev. D77
Original
2008
Earlier work this paper cites.
T. Senthil, “Critical fermi surfaces and non-fermi liquid metals,” Phys. Rev. B78
Original
2008
Earlier work this paper cites.

Similar

S. -J. Rey, “String theory on thin semiconductors: Holographic realization of Fermi points and surfaces,” PTPSA,177,128-142. 2009 177
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Cited alongside, same era.
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Then

S. S. Gubser and F. D. Rocha, “Peculiar properties of a charged dilatonic black hole in AdS5,” Phys. Rev. D 81
Original
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Later among the works it cites.
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2011
Closest in time.
S. A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, “Towards strange metallic holography,” JHEP 1004
Original
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Closest in time.
S. A. Hartnoll, D. M. Hofman and D. Vegh, “Stellar spectroscopy: Fermions and holographic Lifshitz criticality,” JHEP 1108
Original
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2011

Holographic Fermi Surfaces and Entanglement Entropy

Ogawa, Noriaki, Takayanagi, Tadashi, Ugajin, Tomonori

Understand

We argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit.

We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces.
By imposing the null energy condition, we show that the specific heat always behaves anomalously.
We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.

Built on

M. Cubrovic, J. Zaanen and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. H. Lee and R. D. Sorkin, “A Quantum Source Of Entropy For Black Holes,” Phys. Rev. D 34
1993
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.
M. M. Wolf, “Violation of the entropic area law for fermions”, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” JHEP 0608
2006
Earlier work this paper cites.
C. Pepin, “ Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice ,” Phys. Rev. Lett. 98
2007
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.
T. Azeyanagi, T. Nishioka, T. Takayanagi, “Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1),” Phys. Rev. D77
Original
2008
Earlier work this paper cites.
T. Senthil, “Critical fermi surfaces and non-fermi liquid metals,” Phys. Rev. B78
Original
2008
Earlier work this paper cites.

Similar

S. -J. Rey, “String theory on thin semiconductors: Holographic realization of Fermi points and surfaces,” PTPSA,177,128-142. 2009 177
Original
2009
Cited alongside, same era.
C. Holzhey, F. Larsen and F. Wilczek, “Geometric and renormalized entropy in conformal field theory,” Nucl. Phys. B 424
Original
2009
Cited alongside, same era.
H. Casini and M. Huerta, “Entanglement entropy in free quantum field theory,” J. Phys. A 42
Original
2009
Cited alongside, same era.
T. Nishioka, S. Ryu and T. Takayanagi, “Holographic Entanglement Entropy: An Overview,” J. Phys. A 42
Original
2009
Cited alongside, same era.
M. A. Metlitski, C. A. Fuertes and S. Sachdev, “Entanglement Entropy in the O(N) model,” Phys. Rev. B 80

Then

S. S. Gubser and F. D. Rocha, “Peculiar properties of a charged dilatonic black hole in AdS5,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
H. Liu, J. McGreevy and D. Vegh, “Non-Fermi liquids from holography,” Phys. Rev. D 83
Original
2011
Closest in time.
S. A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, “Towards strange metallic holography,” JHEP 1004
Original
2011
Closest in time.
S. A. Hartnoll, D. M. Hofman and D. Vegh, “Stellar spectroscopy: Fermions and holographic Lifshitz criticality,” JHEP 1108
Original
2011
Closest in time.
S. A. Hartnoll and P. Petrov, “Electron star birth: A continuous phase transition at nonzero density,” Phys. Rev. Lett. 106

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

2009

Cited alongside, same era.

J. Eisert, M. Cramer and M. B. Plenio, “Area laws for the entanglement entropy - a review,” Rev. Mod. Phys. 82

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2010

Cited alongside, same era.

E. D’Hoker and P. Kraus, “Magnetic Brane Solutions in AdS,” JHEP 0910

Original

2010

Cited alongside, same era.

D. Mross, J. McGreevy, H. Liu, T. Senthil, “ A controlled expansion for certain non-Fermi liquid metals,” Phys. Rev. B82

2010

Cited alongside, same era.

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.

T. Faulkner, N. Iqbal, H. Liu, J. McGreevy and D. Vegh, “From black holes to strange metals,” arXiv:1003.1728 [hep-th]; N. Iqbal, H. Liu and M. Mezei, “Lectures on holographic non-Fermi liquids and quantum phase transitions,” arXiv:1110.3814 [hep-th]

Original

Cited in the paper.

N. Iqbal, H. Liu and M. Mezei, “Semi-local quantum liquids,” arXiv:1105.4621 [hep-th]

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J. P. Gauntlett, J. Sonner, D. Waldram, “Universal fermionic spectral functions from string theory,” [arXiv:1106.4694 [hep-th]]; “Spectral function of the supersymmetry current (II),” [arXiv:1108.1205 [hep-th]]

Original

Cited in the paper.

Original

2011

Closest in time.

S. Sachdev, “Strange metals and the AdS/CFT correspondence,” J. Stat. Mech. 1011

Original

2011

Closest in time.

S. Sachdev, “A model of a Fermi liquid using gauge-gravity duality,” Phys. Rev. D 84

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2011

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Y. Zhang, T. Grover, A. Vishwanath, “Entanglement entropy of critical spin liquids”, Phys. Rev. Lett. 107

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2011

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D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, “Renormalization group flows from holography supersymmetry and a c theorem,” Adv. Theor. Math. Phys. 3

2011

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