Duality transformation in a three dimensional conducting medium with two dimensional heterogeneity and an in-plane magnetic field

David J. Bergman, Yakov M. Strelniker

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The classical duality transformation of two dimensional continuum conductors is extended to three dimensional conductors with a two dimensional heterogeneity. This is used to discuss the classical magnetotransport of a periodic array of parallel cylindrical inclusions, which are either perfect insulators or superconductors, embedded in a free electron conducting host. A detailed understanding of the local field and current distributions is thereby achieved, and closed form expressions are obtained for the strong field magnetoresistance in some important configurations.

Original languageEnglish
Pages (from-to)3356-3359
Number of pages4
JournalPhysical Review Letters
Volume80
Issue number15
DOIs
StatePublished - 1998
Externally publishedYes

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