s-Wave holographic superconductor in different ensembles and its thermodynamic consistency

摘要

In this paper, we analytically study the consistency between the Ginzburg-Landau theory of the holographic superconductor in different ensembles and the fundamental thermodynamic relation, we derive the equation of motion of the scalar field which depicts the superconducting phase in canonical ensemble (CE) and a consistent formula to connect the holographic order-parameter to the Ginzburg-Landau coefficients in different thermodynamic ensembles, and we also study the spatially nonuniform Helmholtz free energy.