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Theory of the sign of multi-probe conductances for normal and superconducting materials

Research output: Contribution to journalJournal article

Published

Journal publication date28/11/1994
JournalJournal of Physics: Condensed Matter
Journal number48
Volume6
Number of pages12
Pages10475-10486
Original languageEnglish

Abstract

We examine equivalent forms of the current-voltage relationship applicable to mesoscopic superconductors and use one of these to derive general conditions for the sign of the conductance in a four-probe measurement. For disordered systems, with well separated voltage probes, where the normal-state conductance is positive, we predict that the sign of the longitudinal four-probe conductance of superconducting wires can be reversed by varying an applied magnetic field, and that at certain critical values of the field, the conductance passes through a singularity.