Universality of a Critical Magnetic Field in a Holographic Superconductor

2015

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DOI 10.1088/0256-307x/32/4/047401
Data confidence 70 medium
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Abstract

We study aspects of holographic superconductors analytically in the presence of a constant external magnetic field. It is shown that the critical temperature and the critical magnetic field can be calculated at nonzero temperature. We detect the Meissner effect in such superconductors. A universal relation between black hole mass M and critical magnetic field H c is proposed to be . We also discuss some aspects of phase transition in terms of black hole entropy and Bekenstein's entropy to the energy upper bound.