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Phys. Rev. B 29, 4026–4029 (1984)

Domain-wall renormalization-group study of the two-dimensional random Ising model

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W. L. McMillan
Department of Physics and Materials Research Laboratory, University of Illinois at Urbana—Champaign, 1110 West Green Street, Urbana, Illinois 61801

Received 16 December 1983; published in the issue dated 1 April 1984

The distribution of domain-wall free energies is calculated with the use of a transfer-matrix approach for finite lattices. A renormalization-group transformation is set up which preserves the domain-wall free-energy distribution as well as the susceptibility when the lattice parameter is changed. The fixed points, critical exponents, and phase diagram are determined for the two-dimensional random Ising model with a Gaussian distribution of nearest-neighbor interactions.

© 1984 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.29.4026
DOI:
10.1103/PhysRevB.29.4026
PACS: