Generalized holographic superconductors with higher derivative couplings

Anshuman Dey (Department of Physics, Indian Institute of Technology, Kanpur 208016, India) ; Subhash Mahapatra (Department of Physics, Indian Institute of Technology, Kanpur 208016, India) ; Tapobrata Sarkar (Department of Physics, Indian Institute of Technology, Kanpur 208016, India)

27 June 2014

Abstract: We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe limit, as well as with backreaction. There are multiple tuning parameters in the theory, and with two non-zero parameters, we show that the theory has a rich phase structure, and in particular, the transition from the normal to the superconducting phase can be tuned to be of first order or of second order within a window of one of these. This is established numerically as well as by computing the free energy of the boundary theory. We further present analytical results for the critical temperature of the model, and compare these with numerical analysis. Optical properties of this system are also studied numerically in the probe limit, and our results show evidence for negative refraction at low frequencies.


Published in: JHEP 1406 (2014) 147
Published by: Springer/SISSA
DOI: 10.1007/JHEP06(2014)147
arXiv: 1404.2190
License: CC-BY-4.0



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