Mutual inductance and selfinductance in mesoscopic systems

Abstract

Th e role played by the magnetostatic interaction in mesoscopic multichannel systems is discussed . We show that the interaction of currents from different channels , when taken in the selfconsistent mean field approximation, leads to selfinductan ce terms in the Hamiltoni an pro ducing an internal magnetic flux. Such multichannel systems can exhibit spontaneous flux or flux expulsion. The dependence of these phenomena on the parameters of the system is discussed.