Holographic End-Point of Spatially Modulated Phase Transition

Autor:	Ooguri, Hirosi, Park, Chang-Soon
Rok vydání:	2010
Předmět:	High Energy Physics - Theory Condensed Matter - Strongly Correlated Electrons General Relativity and Quantum Cosmology
Zdroj:	Phys.Rev.D82:126001,2010
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.82.126001
Popis:	In the previous paper [arXiv:0911.0679], we showed that the Reissner-Nordstrom black hole in the 5-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 non-linear solutions which describe the end-point 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 non-linear solution and find an infinite off-diagonal DC conductivity in the new phase. Comment: 21 pages, 22 figures. v2: a note and a reference added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.3737 Zobrazit plný text záznamu View this record from Arxiv