Theory of a Continuous Hc2 Normal-to-Superconducting Transition

Leo Radzihovsky

doi:10.1103/PhysRevLett.74.4722

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Theory of a Continuous Hc2 Normal-to-Superconducting Transition

Leo Radzihovsky

DOI 10.1103/PhysRevLett.74.4722 · Physical Review Letters

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Abstract

I study the Hc2 transition within the Ginzburg-Landau model, with m-component order parameter ψi. I find a renormalized fixed point free energy, exact in m→∞ limit, suggestive of a second-order transition in contrast to the general belief of a first-order transition. The thermal fluctuations for H≠0 force one to consider an infinite set of marginally relevant operators for d<duc=6. I find dlc=4, predicting that the off-diagonal long-range order does not survive thermal fluctuations in d=2,3. The result is a solution to a critical fixed point that was found to be inaccessible within ε=6−d expansion, previously considered by Brezin, Nelson, and Thiaville [Phys. Rev. B 31, 7124 (1985)], and was interpreted as a first-order transition.