Spontaneously Generated Inhomogeneous Phases via Holography
Abstract
We discuss a holographic model consisting of a gauge field and a scalar field coupled to a charged AdS black hole under a spatially homogeneous chemical potential. By turning on a higher-derivative interaction term between the gauge field and the scalar field, a spatially dependent profile of the scalar field is generated spontaneously. We calculate the critical temperature at which the transition to the inhomogeneous phase occurs for various values of the parameters of the system. We solve the equations of motion below the critical temperature, and show that the dual gauge theory on the boundary spontaneously develops a spatially inhomogeneous charge density.
Cite
@article{arxiv.1305.2507,
title = {Spontaneously Generated Inhomogeneous Phases via Holography},
author = {James Alsup and Eleftherios Papantonopoulos and George Siopsis and Kubra Yeter},
journal= {arXiv preprint arXiv:1305.2507},
year = {2015}
}
Comments
20 pages, 4 figures, major revision introducing generalized higher-derivative term, published version