Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” arXiv:1201.1905 [hep-th]
Original
1905
Earlier work this paper cites.
J. Polchinski, “Effective field theory and the Fermi surface,” In *Boulder 1992, Proceedings, Recent directions in particle theory* 235-274, and Calif. Univ. Santa Barbara - NSF-ITP-92-132 (92,rec.Nov.) 39 p. (220633) Texas Univ. Austin - UTTG-92-20 (92,rec.Nov.) 39 p [hep-th/9210046]
1992
Earlier work this paper cites.
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.
R. Shankar, “Renormalization group approach to interacting fermions,” Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
H. Kodama and A. Ishibashi, “Master equations for perturbations of generalized static black holes with charge in higher dimensions,” Prog. Theor. Phys. 111
2004
Earlier work this paper cites.
A. Donos and J. P. Gauntlett, “Holographic striped phases,” JHEP 1108
Original
2004
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.
D. Gioev, I. Klich, “Entanglement entropy of fermions in any dimension and the Widom conjecture,” 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.
S.-S. Lee, “Low energy effective theory of Fermi surface coupled with a U ⁡ ( 1 ) U(1) gauge field in 2+1 dimensions,” Phys. Rev. B 80
Original
2009
Earlier work this paper cites.
S. -S. Lee, “A Non-Fermi Liquid from a Charged Black Hole: A Critical Fermi Ball,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.

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2012

Spectral weight in holographic scaling geometries

Hartnoll, Sean A., Shaghoulian, Edgar

Understand

We compute the low energy spectral density of transverse currents in theories with holographic duals that exhibit an emergent scaling symmetry characterized by dynamical critical exponent $z$ and hyperscaling violation exponent $\theta$.

For any finite $z$ and $\theta$, the low energy spectral density is exponentially small at nonzero momentum.
This indicates that any nonzero momentum low energy excitations of putative hidden Fermi surfaces are not visible in the classical bulk limit.
We furthermore show that if the limit $z \to \infty$ is taken with the ratio $\eta = - \theta/z > 0$ held fixed, then the resulting theory is locally quantum critical with an entropy density that vanishes at low temperatures as $s \sim T^\eta$.

Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” arXiv:1201.1905 [hep-th]
Original
1905
Earlier work this paper cites.
J. Polchinski, “Effective field theory and the Fermi surface,” In *Boulder 1992, Proceedings, Recent directions in particle theory* 235-274, and Calif. Univ. Santa Barbara - NSF-ITP-92-132 (92,rec.Nov.) 39 p. (220633) Texas Univ. Austin - UTTG-92-20 (92,rec.Nov.) 39 p [hep-th/9210046]
1992
Earlier work this paper cites.
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.
R. Shankar, “Renormalization group approach to interacting fermions,” Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
H. Kodama and A. Ishibashi, “Master equations for perturbations of generalized static black holes with charge in higher dimensions,” Prog. Theor. Phys. 111
2004
Earlier work this paper cites.
A. Donos and J. P. Gauntlett, “Holographic striped phases,” JHEP 1108
Original
2004
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.
D. Gioev, I. Klich, “Entanglement entropy of fermions in any dimension and the Widom conjecture,” 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.
S.-S. Lee, “Low energy effective theory of Fermi surface coupled with a U ⁡ ( 1 ) U(1) gauge field in 2+1 dimensions,” Phys. Rev. B 80
Original
2009
Earlier work this paper cites.
S. -S. Lee, “A Non-Fermi Liquid from a Charged Black Hole: A Critical Fermi Ball,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.