Holographic endpoint of spatially modulated phase transition

By Hirosi Ooguri, C. Park. 2010

136 citations recorded by the source corpus.

In a previous paper [S. Nakamura, H. Ooguri, and C. S. Park, Phys. Rev. D 81, 044018 (2010)], we showed that the Reissner-Nordstrom black hole in the five-dimensional anti–de Sitter space coupled to the Maxwell theory with the Chern-Simons term is unstable when the Chern-Simons coupling is sufficiently large. In the dual conformal field theory, the instability suggests a spatially modulated phase transition. In this paper, we construct and analyze nonlinear solutions which describe the endpoint of this phase transition. In the limit where the Chern-Simons coupling is large, we find that the phase transition is of the second order with the mean field critical exponent. However, the dispersion relation with the Van Hove singularity enhances quantum corrections in the bulk, and we argue that this changes the order of the phase transition from the second to the first. We compute linear response functions in the nonlinear solution and find an infinite off-diagonal DC conductivity in the new phase.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e0f36937414c75f7f2b09ac10589fde99570819

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Citations in the corpus

Holographic Quantum Matter (2016, background): “The condensed phase was constructed numerically in a probe limit in [583]; the backreaction of gravity was accounted for in [212].”
Spatially modulated instabilities of magnetic black branes (2011, background): “dual to phases which spontaneously break translation invariance. Such instabilities have been investigated for a class of D= 5 gravity theories with a single gauge-eld and a Chern-Simons coupling in [9, 10] (for earlier related work see [11]). It has also been shown [12] that these instabilities are”
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].”
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].”
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 lattice in Einstein-Maxwell-dilaton gravity (2013, background): “One idea to implement this is introducing the effects of lattice or impurities in the gravitational background [6–21].”