Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-INFOR
Subjects cond-mat.stat-mech
Date Thursday 23 March 2017
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Jacobsen
Speaker's First Name Jesper
Speaker's Email Address
Speaker's Institution LPTENS
Title Finite-size corrections for universal boundary entropy in bond percolation
Abstract We compute the boundary entropy for bond percolation on the square lattice in the presence of a boundary loop weight, and prove explicit and exact expressions on a strip and on a cylinder of size L. For the cylinder we provide a rigorous asymptotic analysis which allows for the computation of finite-size corrections to arbitrary order. For the strip we provide exact expressions that have been verified using high-precision numerical analysis. Our rigorous and exact results corroborate an argument based on conformal field theory, in particular concerning universal logarithmic corrections for the case of the strip due to the presence of corners in the geometry. We furthermore observe a crossover at a special value of the boundary loop weight.
arXiv Preprint Number

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