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Research Article Volume 3 Issue 1
Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics
Grigoris Panotopoulos
Received: January 11, 2020 | Published: March 20, 2020
Abstract
In the framework of the gauge/gravity duality, and in particular of the correspondence, we study one-dimensional superconductors analysing 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 the (1+3)-dimensional Einstein-Maxwell theory for twodimensional superconductors is made as wel.
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