Progress of Theoretical Physics

Two-Dimensional Defect in Three-Dimensional Lattice: -- Local Critical Exponents ', ' and ' in the Limit n -> --

K. Yamamoto, R. Abe

Published Dec 1, 1981• 4 citations

Abstract

By extending a previous treatment, local critical exponents η′, β′ and ν′ in the defect space are studied up to order λ2 in the limit n → ∞. Actual calculations are carried out for a system where two-dimensional defect exists in three-dimensional lattice. It is proved that the results obtained are consistent with a simple power-law assumption for relevant quantities. It is also shown that these exponents satisfy scaling law relations up to this order.

DOI: 10.1143/ptp.66.1947

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