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Critical behaviour of random-bond Potts models: a transfer matrix study

Abstract:

We study the two-dimensional Potts model on the square lattice in the presence of quenched random-bond impurities. For q > 4 the first-order transitions of the pure model are softened due to the impurities, and we determine the resulting universality classes by combining transfer matrix data with conformal invariance. The magnetic exponent β/ν varies continuously with q, assuming non-Ising values for q > 4, whereas the correlation length exponent v is numerically consistent with unity. ...

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Publication status:
Published

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Journal:
NUCLEAR PHYSICS B More from this journal
Volume:
515
Issue:
3
Pages:
701-742
Publication date:
1998-04-06
DOI:
ISSN:
0550-3213
Language:
English
Keywords:
Pubs id:
pubs:240740
UUID:
uuid:054e4233-a46e-454f-83a3-2b09e3d65b45
Local pid:
pubs:240740
Source identifiers:
240740
Deposit date:
2012-12-19

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