Criterion for the nature of the superconducting transition in strongly interacting field theories: A holographic approach
Ki-Seok Kim, Kyung Kiu Kim, Youngman Kim, Yumi Ko
DOI 10.1103/PhysRevB.84.184530 · Physical Review B
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Abstract
It is beyond the present paradigm based on perturbation theory to reveal the nature of phase transitions in strongly interacting theories. Recently, the holographic approach has provided us with an effective dual description, mapping strongly coupled conformal theories to classical gravity theories. Resorting to the holographic approach, we propose a general criterion for the nature of the superconducting transition based on effective interactions between vortices. We find “tricritical” points in terms of the chemical potential for U(1) charges and an effective Ginzburg-Landau parameter, where vortices do not interact to separate the second-order (repulsive) from the first-order (attractive) transitions. We interpret the first-order transition as the Coleman-Weinberg mechanism, arguing that it is relevant to superconducting instabilities around quantum criticality.
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