Striped holographic superconductor

Raphael Flauger; Enrico Pajer; Stefanos Papanikolaou

doi:10.1103/PhysRevD.83.064009

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Striped holographic superconductor

Raphael Flauger, Enrico Pajer, Stefanos Papanikolaou

DOI 10.1103/PhysRevD.83.064009 · Physical Review D

T1

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Abstract

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 Tc 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 Tc on the modulation’s wave vector, which characterizes the inhomogeneity. We find that it is qualitatively similar to that expected for a weakly coupled Bardeen-Cooper-Schrieer theory, but we point out a quantitative difference. Finally, we use our solutions to compute the conductivity along the direction of the stripes.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La1.6-xNd0.4SrxCuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
La1.8-xEu0.2SrxCuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
La2-xBaxCuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown