Critical behaviour of random-bond Potts models: a transfer matrix study
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...
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
1998
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| 总结: | 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. We present evidence for the correctness of a formerly proposed phase diagram, unifying pure, percolative and non-trivial random behaviour. © 1998 Elsevier Science B.V. |
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