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Corner contribution to percolation cluster numbers

Abstract:

We study the number of clusters in two-dimensional (2d) critical percolation, NΓ, which intersect a given subset of bonds, Γ. In the simplest case, when Γ is a simple closed curve, N Γ is related to the entanglement entropy of the critical diluted quantum Ising model, in which Γ represents the boundary between the subsystem and the environment. Due to corners in Γ there are universal logarithmic corrections to NΓ, which are calculated in the continuum limit through conformal invariance, makin...

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Publication status:
Published

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Publisher copy:
10.1103/PhysRevB.86.214203

Authors


Kovacs, IA More by this author
Journal:
PHYSICAL REVIEW B
Volume:
86
Issue:
21
Publication date:
2012-12-07
DOI:
EISSN:
1550-235X
ISSN:
1098-0121
URN:
uuid:537413db-83fe-4351-9a51-fa7bd02d1730
Source identifiers:
371389
Local pid:
pubs:371389
Language:
English

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