Calculation of the percolation-thermal crossover index for the bond-diluted Ising model

Kumar, D. (1979) Calculation of the percolation-thermal crossover index for the bond-diluted Ising model Journal of Physics C: Solid State Physics, 12 (15). L599. ISSN 0022-3719

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Official URL: http://iopscience.iop.org/0022-3719/12/15/003

Related URL: http://dx.doi.org/10.1088/0022-3719/12/15/003

Abstract

A position-space renormalisation group (RG) calculation, which uses the replica trick and the Migdal approximation, is reported. The use of the replica trick allows the percolation-thermal crossover index phi to be determined without the ambiguities that are usually encountered in real-space RG calculations. A value of phi =1 is found for all dimensions, in agreement with results obtained previously.

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