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Holographic Stripes

2012/11/30 by Moshe Rozali, Darren Smyth, Evgeny Sorkin +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #cond-mat.str-el #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.110.201603

5 pages (APS style), 5 figures. Expanded analysis including additional values of the axion coupling and spatial periodicities, which reveals the appearance of sharp second order transitions for sufficiently large axion couplings

arxiv created 2013/04/02 · openalex publication_date 2013/05/16 · arxiv updated 2013/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct inhomogeneous asymptotically anti-de Sitter 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 a 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. At low temperatures, the horizon becomes highly inhomogeneous and tends to pinch off.

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