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Linking numbers for self-avoiding loops and percolation: application to the spin quantum hall transition

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...

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Publication status:
Published

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Publisher copy:
10.1103/physrevlett.84.3507

Authors


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

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