Holographic p-wave superconductors from Gauss-Bonnet gravity

Rong-Gen Cai; Zhang-Yu Nie; Hai-Qing Zhang

doi:10.1103/PhysRevD.82.066007

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Holographic p-wave superconductors from Gauss-Bonnet gravity

Rong-Gen Cai, Zhang-Yu Nie, Hai-Qing Zhang

DOI 10.1103/PhysRevD.82.066007 · Physical Review D

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Abstract

We study the holographic p-wave superconductors in a five-dimensional Gauss-Bonnet gravity with an SU(2) Yang-Mills gauge field. In the probe approximation, we find that when the Gauss-Bonnet coefficient grows, the condensation of the vector field becomes harder, both the perpendicular and parallel components, with respect to the direction of the condensation, of the anisotropic conductivity decrease. We also study the mass of the quasiparticle excitations, the gap frequency and the DC conductivities of the p-wave superconductor. All of them depend on the Gauss-Bonnet coefficient. In addition, we observe a strange behavior for the condensation and the relation between the gap frequency and the mass of quasiparticles when the Gauss-Bonnet coefficient is larger than 9/100, which is the upper bound for the Gauss-Bonnet coefficient from the causality of the dual field theory.