Built on

T. Hartman, S. A. Hartnoll, “Cooper pairing near charged black holes,” JHEP 1006
Original
1918
Earlier work this paper cites.
J. M. Luttinger, “Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions,” Phys. Rev. 119
1960
Earlier work this paper cites.
C. P. Herzog, “Lectures on Holographic Superfluidity and Superconductivity,” J. Phys. A A 42
Original
1975
Earlier work this paper cites.
F. D. M. Haldane and Y-S. Wu, “Quantum Dynamics and Statistics of Vortices in Two-Dimensional Superfluids,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
S. Coleman, “Aspects of Symmetry,” Cambridge University Press, New York 1985
1985
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.
P. Ao and D. Thouless, “Berry’s Phase and the Magnus Force for a Vortex Line in a Superconductor,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
E. B. Sonin, “The Magnus force in superfluids and superconductors,” Phys. Rev. B 55
1996
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.
L. J. Romans, “Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory,” Nucl. Phys. B 383
1999
Earlier work this paper cites.
M. Oshikawa, “Topological Approach to Luttinger’s Theorem and the Fermi Surface of a Kondo Lattice,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Senthil and M. P. A. Fisher, “ Z 2 Z_{2} gauge theory of electron fractionalization in strongly correlated systems,” Phys. Rev. B 62
2000
Earlier work this paper cites.
D. T. Son, “Hydrodynamics of relativistic systems with broken continuous symmetries,” Int. J. Mod. Phys. A 16S1C
2001
Earlier work this paper cites.
T. Senthil, S. Sachdev, and M. Vojta, “Fractionalized Fermi Liquids,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.

Similar

A. Paramekanti and A. Vishwanath, “Extending Luttinger’s theorem to Z 2 Z_{2} fractionalized phases of matter,” Phys. Rev. B 70
2004
Cited alongside, same era.
C. P. Herzog, A. Karch, P. Kovtun, C. Kozcaz, L. G. Yaffe, “Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma,” JHEP 0607
2006
Cited alongside, same era.
S. S. Gubser, “Drag force in AdS/CFT,” Phys. Rev. D 74
2006
Cited alongside, same era.
S. S. Gubser, “Breaking an Abelian gauge symmetry near a black hole horizon,” Phys. Rev. D 78
Original
2008
Cited alongside, same era.
S. Kachru, X. Liu, M. Mulligan, “Gravity Duals of Lifshitz-like Fixed Points,” Phys. Rev. D78
Original
2008
Cited alongside, same era.

Then

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
Later among the works it cites.
S. S. Gubser and F. D. Rocha, “Peculiar properties of a charged dilatonic black hole in A d S 5 AdS_{5} ,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
S. A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, “Towards strange metallic holography,” JHEP 1004
Original
2010
Later among the works it cites.
S. Sachdev, “Holographic metals and the fractionalized Fermi liquid,” Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
F. Denef, S. A. Hartnoll, S. Sachdev, “Black hole determinants and quasinormal modes,” Class. Quant. Grav. 27

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2011

Luttinger's theorem, superfluid vortices, and holography

Iqbal, Nabil, Liu, Hong

Understand

Strongly coupled field theories with gravity duals can be placed at finite density in two ways: electric field flux emanating from behind a horizon, or bulk charged fields outside of the horizon that explicitly source the density.

We discuss field-theoretical observables that are sensitive to this distinction.
If the charged fields are fermionic, we discuss a modified Luttinger's theorem that holds for holographic systems, in which the sum of boundary theory Fermi surfaces counts only the charge outside of the horizon.
If the charged fields are bosonic, we show that the the resulting superfluid phase may be characterized by the coefficient of the transverse Magnus force on a moving superfluid vortex, which again is sensitive only to the charge outside of the horizon.

Built on

T. Hartman, S. A. Hartnoll, “Cooper pairing near charged black holes,” JHEP 1006
Original
1918
Earlier work this paper cites.
J. M. Luttinger, “Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions,” Phys. Rev. 119
1960
Earlier work this paper cites.
C. P. Herzog, “Lectures on Holographic Superfluidity and Superconductivity,” J. Phys. A A 42
Original
1975
Earlier work this paper cites.
F. D. M. Haldane and Y-S. Wu, “Quantum Dynamics and Statistics of Vortices in Two-Dimensional Superfluids,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
S. Coleman, “Aspects of Symmetry,” Cambridge University Press, New York 1985
1985
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.
P. Ao and D. Thouless, “Berry’s Phase and the Magnus Force for a Vortex Line in a Superconductor,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
E. B. Sonin, “The Magnus force in superfluids and superconductors,” Phys. Rev. B 55
1996
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.
L. J. Romans, “Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory,” Nucl. Phys. B 383
1999
Earlier work this paper cites.
M. Oshikawa, “Topological Approach to Luttinger’s Theorem and the Fermi Surface of a Kondo Lattice,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Senthil and M. P. A. Fisher, “ Z 2 Z_{2} gauge theory of electron fractionalization in strongly correlated systems,” Phys. Rev. B 62
2000
Earlier work this paper cites.
D. T. Son, “Hydrodynamics of relativistic systems with broken continuous symmetries,” Int. J. Mod. Phys. A 16S1C
2001
Earlier work this paper cites.
T. Senthil, S. Sachdev, and M. Vojta, “Fractionalized Fermi Liquids,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.

Similar

A. Paramekanti and A. Vishwanath, “Extending Luttinger’s theorem to Z 2 Z_{2} fractionalized phases of matter,” Phys. Rev. B 70
2004
Cited alongside, same era.
C. P. Herzog, A. Karch, P. Kovtun, C. Kozcaz, L. G. Yaffe, “Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma,” JHEP 0607
2006
Cited alongside, same era.
S. S. Gubser, “Drag force in AdS/CFT,” Phys. Rev. D 74
2006
Cited alongside, same era.
S. S. Gubser, “Breaking an Abelian gauge symmetry near a black hole horizon,” Phys. Rev. D 78
Original
2008
Cited alongside, same era.
S. Kachru, X. Liu, M. Mulligan, “Gravity Duals of Lifshitz-like Fixed Points,” Phys. Rev. D78
Original
2008
Cited alongside, same era.