Gravity Dual of Spatially Modulated Phase

By Shin-ichi Nakamura, Hirosi Ooguri, C. Park. 2009

286 citations recorded by the source corpus.

We show that the five-dimensional Maxwell theory with the Chern-Simons term is tachyonic in the presence of a constant electric field. When coupled to gravity, a sufficiently large Chern-Simons coupling causes instability of the Reissner-Nordstrom black holes in anti-de Sitter space. The instability happens only at nonvanishing momenta, suggesting a spatially modulated phase in the holographically dual quantum field theory in (3+1) dimensions, with spontaneous current generation in a helical configuration. The three-charge extremal black hole in the type IIB superstring theory on AdS_5×S^5 barely satisfies the stability condition.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1a2b99c232a385a4ab101b315c9dd374df8fb776

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Citations in the corpus

Holographic endpoint of spatially modulated phase transition (2010, background): “ompute linear response functions in the non-linear solution and nd an innite o-diagonal DC conductivity in the new phase. arXiv:1007.3737v2 [hep-th] 30 Aug 2010 1 Introduction In the previous paper [1], together with Shin Nakamura, we pointed out that the Maxwell theory with the Chern-Simons term in”
Holographic striped phases (2011, background): “Before presenting our new results we note that spontaneous breaking of translation invariance has been found in the context of electrically charged AdS-RN black banes of D = 5 Einstein-Maxwell theory with a Chern-Simons term in [16][17].”
A Holographic View on Physics out of Equilibrium (2010, methodology): “For pure Maxwell field interacting with gravity, these include charge redistribution as discussed originally in [45, 46], or the more recent examples involving Chern-Simons dynamics [47].”
Semi-local quantum liquids (2011, background): “For a holographic system at a nonzero chemical potential, this unstable phase sets in at an energy scale of order of the chemical potential, and then orders into other phases at lower energies, with previously known examples including holographic superconductors [5–7], antiferromagnetic-type states ”
Holographic metals and insulators with helical symmetry (2014, background): “In the framework of spontaneous symmetry breaking in holography, helical symmetry was first discussed in [41] (see also [42]).”
Holographic Quantum Matter (2016, methodology): “A simple holographic model leading to helical order is Einstein-Maxwell theory in d = 3 with a Chern-Simons term of coupling constant α [571]:”
Spatially modulated instabilities of magnetic black branes (2011, background): “Such instabilities have been investigated for a class of D = 5 gravity theories with a single gauge-field and a Chern-Simons coupling in [9, 10] (for earlier related work see [11]).”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “(2)Such a term is extremely important when physics in magnetic fields is discussed, and is also at the source of density wave instabilities, [13, 14].”
Introduction to Holographic Superconductors (2010, unknown): “It was shown in [ 57 ] that the Chern‐Simons term in five dimensional”
Charged magnetic brane solutions in AdS5 and the fate of the third law of thermodynamics (2009, background): “In the recent work [38] it was found that sufficiently large k can cause an instability in Reissner-Nordstrom black brane solutions.”
Further evidence for lattice-induced scaling (2012, background): “Recent examples include the study of physics in the presence of a background lattice [1, 2, 3, 4, 5, 6], lattices constructed from D-branes [7, 8] as well as spatially modulated phases in which the breaking of translational invariance occurs spontaneously [9, 10, 11, 12, 13].”