Analytical coexistence of s, p, s + p phases of a holographic superconductor

Abstract

We analytically study the critical phase of a mixed system of the U(2) gauge fields and global symmetry on the boundary using gauge/gravity. A variational minimization problem has been formulated. The numerical results pertinently show that there exists a minimum chemical potential in which both scalar (s-wave) and vector (p-wave) condensates exist in a mixture, as well as in the distinct s- and p-phases. This result is obtained by breaking the symmetry into U(1) symmetry and rotational symmetry. While the analytical solutions of condensates and charge densities are achieved in both cases: the balanced and unbalanced holographic superconductors. This is the first an- alytical study of the coexistence of two modes of the superconductivity with different order parameters. The realistic model consists of two different phases of the superfluidity in Helium.

version accepted in "International Journal of Geometric Methods in Modern Physics"; 19 pages

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Cited by in corpus (10)

• Phase transitions in a holographic s+p model with backreaction
• P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravity
• Split degenerate states and stable p+ip phases from holography
• Competing s-wave orders from Einstein-Gauss-Bonnet gravity
• Spontaneous current in an holographic s+p superfluid
• Holographic phase transitions from higgsed, non abelian charged black holes
• Zero Temperature Holographic Superfluids with Two Competing Orders
• H-T phase diagrams of a holographic p-wave superfluid
• Analytical study of the holographic superconductor from higher derivative theory
• Chaos in balanced and unbalanced holographic s+p superconductors