Abstract

Using the classical time-average approximation to deal with equation of motion for scalar field, holographic superconductor with a time-dependent chemical potential is studied analytically in probe limit. On the basis of the minimum eigenvalue of Sturm–Liouville equation, concrete values of the phase transition temperature and critical frequency are obtained. The condensed solution in high frequency regime is also calculated. It is shown that the phase transition temperature enhances and the superconductivity can be got easier as the frequency of the time-dependent chemical potential, which should be larger than the critical frequency, rises.

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