Phase diagram for a superconducting ring obtained from exact analytical results

J. I. Castro; A. López

doi:10.1103/PhysRevB.72.224507

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Phase diagram for a superconducting ring obtained from exact analytical results

J. I. Castro, A. López

DOI 10.1103/PhysRevB.72.224507 · Physical Review B

T1

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Abstract

We present complete phase diagrams for a simple superconducting ring, obtained from exact analytical solutions of the Ginzburg-Landau (GL) equations. The proterties of the phase diagram depend on both the GL parameter and the aspect ratio of the ring, related to the self-induction coefficient. Exact expressions for the order parameter and the free energy involved in the transitions between states with different quantum numbers are also presented. We determine the role played by metastable solutions, which include modulated solutions and states with “phase slip centers.” These allow for a change in the phase winding number. Exact relations for all metastability lines in the phase diagram are derived.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
Nb Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Al Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown