Theory of a Continuous H$_{c2}$ Normal-to-Superconducting Transition

Leo Radzihovsky

doi:10.1103/PhysRevLett.74.4722

paper

Theory of a Continuous H $_{c 2}$ Normal-to-Superconducting Transition

arXiv:cond-mat/9503147 · doi:10.1103/PhysRevLett.74.4722

Abstract

I study the $H_{c 2}$ transition within the Ginzburg-Landau model, with $m$ -component order parameter $ψ_{i}$ . I find a renormalized fixed point free energy, exact in $m \to \infty$ limit, suggestive of a $2$ nd-order transition in contrast to a general belief of a $1$ st-order transition. The thermal fluctuations for $H \neq = 0$ force one to consider an infinite set of marginally relevant operators for $d < d_{u c} = 6$ . I find $d_{l c} = 4$ , predicting that the ODLRO 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 in E.Brezin, D.R.Nelson, A.Thiaville, Phys.Rev.B {\bf 31}, 7124 (1985), and was interpreted as a $1$ st-order transition.

4 pages, self-unpacking uuencoded compressed postscript file with a figure already inside text; to appear in Phys. Rev. Lett.

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Self-Consistent Theory of Normal-to-Superconducting Transition

Theory of a Continuous Hc2​ Normal-to-Superconducting Transition

Abstract

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Theory of a Continuous H $_{c 2}$ Normal-to-Superconducting Transition