Analytic investigation of holographic phase transitions influenced by dark matter sector

Abstract

We analytically study the phase transitions between s-wave holographic insulator/superconductor and metal/superconductor. The problem is solved by the variational method for the Sturm-Liouville eigenvalue problem in the theory with dark matter sector of U(1)-gauge field coupled to the Maxwell field. Additionally in the probe limit we investigate the marginally stable modes of scalar perturbations in the AdS solitonic background, connected with magnetic field in the dark matter sector. We have found that even with dark matter sector the superconducting transition temperature $T_c$ is proportional to charge density $\rho$ in power 1/3. This value seem to be strong coupling modification of the exponent 2/3 known from the Bose - Einstein condensation of charged local pair bosons in narrow band superconductors. The holographic droplet solution is affected by the coupling to the dark matter. Interestingly in the probe limit the critical chemical potential increases with the decreasing coupling to dark matter making the condensation transition harder to appear.

16 pages, REvTEx, 3 Figures, to be published in Phys.Rev.D15

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Cited by in corpus (13)

• P-wave holographic superconductor/insulator phase transitions affected by dark matter sector
• Dark sector impact on gravitational collapse of an electrically charged scalar field
• Condensate flow in holographic models in the presence of dark matter
• A general holographic insulator/superconductor model away from the probe limit
• Two interacting current model of holographic Dirac fluid in graphene
• Revisiting holographic superconductors with hyperscaling violation
• Gauss-Bonnet holographic superconductors in exponential nonlinear electrodynamics
• Viscosity bound for anisotropic superfluids with dark matter sector
• Chiral kinetic theory in the presence of dark photon
• Analytical study of the holographic superconductor from higher derivative theory
• Holographic superconductivity in the presence of dark matter: basic issues
• DC conductivities and Stokes flows in Dirac semimetals
• The Emergence of Superconducting Systems in Anti-de Sitter Space