Condensate flow in holographic models in the presence of dark matter

• Published in: The journal of high energy physics 2016-10, Vol.2016 (10), p.1-37, Article 152
• Main Authors: Rogatko, Marek, Wysokinski, Karol I.
• Format: Article
• Language: English
• Subjects: Chemical potential; Classical and Quantum Gravitation; Condensates; Dark matter; Elementary Particles; Fluids; High energy physics; Mathematical models; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Superconductors; Superfluidity; Transition temperature
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2016)152

A bstract Holographic model of a three-dimensional current carrying superconductor or superfluid with dark matter sector described by the additional U(1)-gauge field coupled to the ordinary Maxwell one, has been studied in the probe limit. We investigated an-alytically by the Sturm-Liouville variational method, the holographic s-wave and p-wave models in the background of the AdS soliton as well as five-dimensional AdS black hole spacetimes. The two models of p-wave superfluids were considered, the so called SU(2) and the Maxwell-vector. Special attention has been paid to the dependence of the critical chemical potential and critical transition temperature on the velocity of the condensate and dark matter parameters. The current J in holographic three-dimensional superconductor studied here, shows the linear dependence on T c − T for both s and p-wave symmetry. This is in a significant contrast with the previously obtained results for two-dimensional super-conductors, which reveal the ( T − T c ) 3/2 temperature dependence. The coupling constant α , as well as, chemical potential μ D and the velocity S D of the dark matter , affect the critical chemical potential of the p-wave holographic SU(2) system. On the other hand, α , dark matter velocity S D and density ρ D determine the actual value of the transition temperature of the same superconductor/superfluid set up. However, the dark matter does not affect the value of the current.