Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics
arXiv:2012.09978 · doi:10.1016/j.cjph.2020.11.023
Abstract
In the framework of the gauge/gravity duality, and in particular of the correspondence, we study one-dimensional superconductors analyzing the dual (1+2)-dimensional gravity in the presence of the Einstein-power-Maxwell non-linear Electrodynamics. In the probe limit we compute the critical temperature of the transition as a function of the mass of the scalar field. The computation is performed analytically employing the Rayleigh-Ritz variational principle. The comparison with a power Maxwell field in higher dimensions as well as with the (1+3)-dimensional Einstein-Maxwell theory for two-dimensional superconductors is made as well.
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