Mapping between random central-force networks and random resistor networks

W. Tang, M. F. Thorpe

Research output: Contribution to journalArticle

35 Scopus citations

Abstract

We show that the random-resistor-network problem can be mapped on to a related network of Hooke springs of natural length zero stretched on a frame. The conductance of the network is equivalent to the pressure on the frame. The new viewpoint leads to a useful visualization of conductivity on random networks. The mapping can also be used on tight-binding Hamiltonians. We use this method to study the conductivity and superconductivity of random networks in two dimensions.

Original languageEnglish (US)
Pages (from-to)3798-3804
Number of pages7
JournalPhysical Review B
Volume36
Issue number7
DOIs
StatePublished - Jan 1 1987

ASJC Scopus subject areas

  • Condensed Matter Physics

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