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First- and second-order transitions for a superconducting cylinder in a magnetic field obtained from a self-consistent solution of the Ginzburg-Landau equations

G. F. Zharkov

DOI 10.1103/PhysRevB.63.224513 · Physical Review B

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Abstract

Based on self-consistent solution of nonlinear GL equations, the phase boundary is found, which divides the regions of first- and second-order phase transitions to normal state of a superconducting cylinder of radius R, placed in magnetic field and remaining in the state of fixed vorticity m. This boundary is a complicated function of the parameters (m,R,κ) (κ is the GL parameter), which does not coincide with the simple phase boundary κ=1/2, dividing the regions of first- and second-order phase transitions in infinite (open) superconducting systems.

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