Superconductivity exponent for the Sierpinski gasket in two dimensions

H. Taitelbaum, S. Havlin

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Numerical calculations based on Kirchhoff laws are used to calculate the resistance of a random mixture of conductors and superconductors on the Sierpinski gasket in two dimensions. Using modified finite-size scaling arguments the authors obtain for the superconductivity exponent s=0.27+or-0.03, which is not predicted by any known critical exponent relations. Their method is confirmed by re-obtaining the exact known result for the conductivity exponent mu for the problem of a conductor-insulator mixture on the gasket.

Original languageEnglish
Article number039
Pages (from-to)2265-2271
Number of pages7
JournalJournal of Physics A: General Physics
Volume21
Issue number9
DOIs
StatePublished - 1988

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