Ooguri, Hirosi and Park, Chang-Soon (2010) Holographic endpoint of spatially modulated phase transition. Physical Review D, 82 (12). Art. No. 126001 . ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:20110420-110435590
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In a previous paper [S. Nakamura, H. Ooguri, and C. S. Park, Phys. Rev. D 81, 044018 (2010)], we showed that the Reissner-Nordström 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.
|Additional Information:||© 2010 American Physical Society. Received 1 September 2010; published 2 December 2010. We thank Michael Cross, Per Kraus, Shin Nakamura, and Dam T. Son for discussions. We also thank Sean Hartnoll and Subir Sachdev for their comments on the earlier version of this paper. We are grateful to Hermann Nicolai and to the Max-Planck-Institut für Gravitationsphysik for hospitality. C. P. thanks the hospitality of the Korea Institute for Advanced Study and the Institute for the Physics and Mathematics of the Universe at the University of Tokyo. H. O. thanks the Aspen Center for Physics, where this work was completed, for the hospitality. This work is supported in part by DOE Grant No. DE-FG03-92-ER40701 and the World Premier International Research Center Initiative of MEXT. H.O. is also supported in part by JSPS Grant-in-Aid for Scientific Research (C) No. 20540256 and by the Humboldt Foundation. Note added.—After the first version of this paper was completed, we were informed of the work , which suggested that an instability to crystalline phases might be a generic feature of phases which are describable by a bulk AdS2 geometry. Such an instability would provide a natural way to understand the ground state entropy.|
|Classification Code:||PACS: 11.25.Tq|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||21 Apr 2011 14:46|
|Last Modified:||04 Mar 2013 23:35|
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