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...
| Autors principals: | , |
|---|---|
| Format: | Journal article |
| Idioma: | English |
| Publicat: |
1998
|
| _version_ | 1826257427439288320 |
|---|---|
| author | Jacobsen, J Cardy, J |
| author_facet | Jacobsen, J Cardy, J |
| author_sort | Jacobsen, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:18:03Z |
| format | Journal article |
| id | oxford-uuid:054e4233-a46e-454f-83a3-2b09e3d65b45 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:18:03Z |
| publishDate | 1998 |
| record_format | dspace |
| spelling | oxford-uuid:054e4233-a46e-454f-83a3-2b09e3d65b452022-03-26T08:56:25ZCritical behaviour of random-bond Potts models: a transfer matrix studyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:054e4233-a46e-454f-83a3-2b09e3d65b45EnglishSymplectic Elements at Oxford1998Jacobsen, JCardy, JWe 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. |
| spellingShingle | Jacobsen, J Cardy, J Critical behaviour of random-bond Potts models: a transfer matrix study |
| title | Critical behaviour of random-bond Potts models: a transfer matrix study |
| title_full | Critical behaviour of random-bond Potts models: a transfer matrix study |
| title_fullStr | Critical behaviour of random-bond Potts models: a transfer matrix study |
| title_full_unstemmed | Critical behaviour of random-bond Potts models: a transfer matrix study |
| title_short | Critical behaviour of random-bond Potts models: a transfer matrix study |
| title_sort | critical behaviour of random bond potts models a transfer matrix study |
| work_keys_str_mv | AT jacobsenj criticalbehaviourofrandombondpottsmodelsatransfermatrixstudy AT cardyj criticalbehaviourofrandombondpottsmodelsatransfermatrixstudy |