3D XY scaling theory of the superconducting phase transition

Abstract

The intermediate 3D XY scaling theory of superconductivity at zero and nonzero magnetic fields is developed, based only upon the dimensional hypothesis $B\sim (Length{)}^{-2}$. Universal as well as nonuniversal aspects of the theory are identified, including background terms and demagnetization effects. Two scaling regions are predicted: an "inner" region (very near the zero field superconducting transition, $T_c$), where the fields $B$, $H$, and $H_{ex}$ differ substantially, due to the presence of diamagnetic fluctuations, and an "outer" region (away from $T_c$), where the fields can all be treated similarly. The characteristic field ($H_0$) and temperature ($t_1$) scales, separating the two regimes, are estimated. Scaling theories of the phase transition line, magnetization, specific heat, and conductivity are discussed. Multicritical behavior, involving critical glass fluctuations, is investigated along the transition line, $T_m(B)$, at nonzero fields.

9 pages LaTeX, 1 .eps figure, version accepted for publication

References in corpus (5)

• Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High-$T_c$ Superconductors
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• Magnetization Jump in a Model for Flux Lattice Melting at Low Magnetic Fields
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Cited by in corpus (4)

• Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
• Extreme Type-II Superconductors in a Magnetic Field: A Theory of Critical Fluctuations
• Dynamical universality classes of the superconducting phase transition
• Critical-point scaling function for the specific heat of a Ginzburg-Landau superconductor