Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-08
Phys.Rev.D83:064009,2011
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 11 figures, v2: references added, figure 4 replaced
Scientific paper
10.1103/PhysRevD.83.064009
We study inhomogeneous solutions of a 3+1-dimensional Einstein-Maxwell-scalar theory. Our results provide a holographic model of superconductivity in the presence of a charge density wave sourced by a modulated chemical potential. We find that below a critical temperature superconducting stripes develop. We show that they are thermodynamically favored over the normal state by computing the grand canonical potential. We investigate the dependence of the critical temperature on the modulation's wave vector, which characterizes the inhomogeneity. We find that it is qualitatively similar to that expected for a weakly coupled BCS theory, but we point out a quantitative difference. Finally, we use our solutions to compute the conductivity along the direction of the stripes.
Flauger Raphael
Pajer Enrico
Papanikolaou Stefanos
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