Vortex flow for a holographic superconductor

TL;DR

This paper analytically constructs vortex flow solutions in a holographic superconductor model under magnetic and electric fields, revealing energy dissipation mechanisms and confirming predictions of the time-dependent Ginzburg-Landau theory near phase transitions.

Contribution

It provides the first analytical vortex flow solutions in holographic superconductors and evaluates key TDGL coefficients near critical points.

Findings

Vortex flow resistance matches TDGL predictions near phase transition.

Kinetic coefficient in TDGL equation is quantitatively evaluated.

Additional TDGL coefficients are computed at zero magnetic field below critical temperature.

Abstract

We investigate energy dissipation associated with the motion of the scalar condensate in a holographic superconductor model constructed from the charged scalar field coupled to the Maxwell field. Upon application of constant magnetic and electric fields, we analytically construct the vortex flow solution, and find the vortex flow resistance near the second-order phase transition where the scalar condensate begins. The characteristic feature of the non-equilibrium state agrees with the one predicted by the time-dependent Ginzburg-Landau(TDGL) theory. We evaluate the kinetic coefficient in the TDGL equation along the line of the second-order phase transition. At zero magnetic field, the other coefficients in the TDGL equation are also evaluated just below the critical temperature.