The bicritical macroscopic conductivity exponent in dimensionalities two, three and infinity

Paul M. Kogut, Joseph P. Straley

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The authors present values of the bicritical macroscopic conductivity exponent nu , which was recently defined for the random resistor lattice. For dimensionality D=2, the value is obtained exactly by exploiting the properties of the dual lattice. In three dimensions a potential problem is solved approximately on a 34*34*34 computer-simulated cubic lattice. For infinite dimensionality, the exponent is extracted by treating the Cayley tree lattice. The authors find: nu (D=2)=0(exact); nu (D=3)=0.78+or-0.10; nu (D= infinity )=2(exact). Knowledge of the nu exponent is shown to be a necessary prerequisite for a complete understanding of the critical behaviour of multiphase inhomogeneous conducting systems.

Original languageEnglish
Article number013
Pages (from-to)1-8
Number of pages8
JournalJournal of Physics C: Solid State Physics
Volume12
Issue number1
DOIs
StatePublished - 1979

ASJC Scopus subject areas

  • Condensed Matter Physics
  • General Engineering
  • General Physics and Astronomy

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