- Abstract:
-
Nonlocal twist operators are introduced for the O(n) and Q-state Potts models in two dimensions which count the numbers of self-avoiding loops (respectively, percolation clusters) surrounding a given point. Their scaling dimensions are computed exactly. This yields many results: for example, the number of percolation clusters which must be crossed to connect a given point to an infinitely distant boundary. Its mean behaves as (1/3sqrt[3] pi) |ln( p(c)-p)| as p-->p(c)-. As an application we...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1103/physrevlett.84.3507
-
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- Journal:
- Physical review letters
- Volume:
- 84
- Issue:
- 16
- Pages:
- 3507-3510
- Publication date:
- 2000-04-05
- DOI:
- EISSN:
-
1079-7114
- ISSN:
-
0031-9007
- URN:
-
uuid:c9930f42-4dd3-4567-b23a-81457d635c67
- Source identifiers:
-
240719
- Local pid:
- pubs:240719
- Language:
- English
- Copyright date:
- 2000
Journal article
Linking numbers for self-avoiding loops and percolation: application to the spin quantum hall transition
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