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Superconductivity in an external magnetic field as a finite-size system

Denjoe O’Connor, C. R. Stephens

DOI 10.1103/PhysRevB.43.3652 · Physical Review B

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Abstract

Based on a general formulation of finite-size systems, we study superconductivity in the presence of an external magnetic field. We show that such a system can be thought of as being of finite size, then following Brézin exhibit finite-size scaling for the correlation functions when d<4, as the transition is approached from above. The finite-size interpretation gives an alternative explanation of why the phase transition becomes first order when the field is turned on.

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