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Holographic Stripes · Around

2012

Holographic Stripes

Rozali, Moshe, Smyth, Darren, Sorkin, Evgeny et al.

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We construct inhomogeneous asymptotically AdS black hole solutions corresponding to the spontaneous breaking of translational invariance and the formation of striped order in the boundary field theory.

We find that the system undergoes a second order phase transition in both the fixed density and fixed chemical potential ensembles, for sufficiently large values of the axion coupling.
We investigate the phase structure as function of the temperature, axion coupling and the stripe width.
The bulk solutions have striking geometrical features related to a magnetoelectric effect associated with the existence of a near horizon topological insulator.

Built on

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R. Gregory and R. Laflamme, “Black strings and p-branes are unstable,” Phys. Rev. Lett. 70
1993
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E. Shuster and D. T. Son, “On finite density QCD at large N(c),” Nucl. Phys. B 573
2000
Earlier work this paper cites.
T. Wiseman, “Static axisymmetric vacuum solutions and nonuniform black strings,” Class. Quant. Grav. 20
2003
Earlier work this paper cites.

Similar

E. Sorkin, “A Critical dimension in the black string phase transition,” Phys. Rev. Lett. 93
2004
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A. Donos and J. P. Gauntlett, “Holographic striped phases,” JHEP 1108
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2004
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M. Vojta, “Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity,” Advances in Physics, Volume 58, Issue 6, 2009 [arXiv:0901.3145]
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2009
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H. Ooguri and C. -S. Park, “Holographic End-Point of Spatially Modulated Phase Transition,” Phys. Rev. D 82
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2010
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Carlson, E. W., Emery, V. J., Kivelson, S. A., Orgad, D., “Concepts in High Temperature Superconductivity,” [arXiv:cond-mat/0206217]
Cited in the paper.
A. Donos and J. P. Gauntlett, “Black holes dual to helical current phases,” arXiv:1204.1734 [hep-th]
Original
Cited in the paper.
Y. -Y. Bu, J. Erdmenger, J. P. Shock and M. Strydom, “Magnetic field induced lattice ground states from holography,” arXiv:1210.6669 [hep-th]
Original
Cited in the paper.
A. Donos, “Striped phases from holography,” arXiv:1303.7211 [hep-th]; B. Withers, “Black branes dual to striped phases,” arXiv:1304.0129 [hep-th]
Original
Cited in the paper.
A. Donos and S. A. Hartnoll, “Universal linear in temperature resistivity from black hole superradiance,” arXiv:1208.4102 [hep-th]
Original
Cited in the paper.
Moshe Rozali, Darren Smyth, Evgeny Sorkin and Jared B. Stang, to appear
Cited in the paper.
M. Rozali, “Compressible Matter at an Holographic Interface,” arXiv:1210.0029 [hep-th]
Original
Cited in the paper.

Then

S. Nakamura, H. Ooguri and C. -S. Park, “Gravity Dual of Spatially Modulated Phase,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
R. Flauger, E. Pajer, S. Papanikolaou and , “A Striped Holographic Superconductor,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
A. Donos and J. P. Gauntlett, “Helical superconducting black holes,” Phys. Rev. Lett. 108
Original
2012
Closest in time.
N. Iizuka, S. Kachru, N. Kundu, P. Narayan, N. Sircar and S. P. Trivedi, “Bianchi Attractors: A Classification of Extremal Black Brane Geometries,” JHEP 1207
Original
2012
Closest in time.

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