Phase Diagram of Superconductors from Non-Perturbative Flow Equations

Details Phase Diagram of Superconductors from Non-Perturbative Flow Equations Phase Diagram of Superconductors from Non-Perturbative Flow Equations

1995-03-15

arxiv.org/abs/hep-ph/9503334v3

Phys.Rev. B53 (1996) 5734-5757

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pp + 10 figures in uuencoded file. Final version as it will appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.53.5734

The universal behaviour of superconductors near the phase transition is described by the three-dimensional field theory of scalar quantum electrodynamics. We approximately solve the model with the help of non-perturbative flow equations. A first- or second-order phase transition is found depending on the relative strength of the scalar versus the gauge coupling. The region of a second-order phase transition is governed by a fixed point of the flow equations with associated critical exponents. We also give an approximate description of the tricritical behaviour and briefly discuss the crossover relevant for the onset of scaling near the critical temperature. Final confirmation of a second-order transition for strong type-II superconductors requires further analysis with extended truncations of the flow equations.

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