Excess entropy and central charge of the twodimensional randombond Potts model in the largeQ limit
Abstract
We consider the randombond Potts model in the largeQ limit and calculate the excess entropy, S_{Γ}, of a contour, Γ, which is given by the mean number of FortuinKasteleyn clusters which are crossed by Γ. In two dimensions, S_{Γ} is proportional to the length of Γ, to which—at the critical point—there are universal logarithmic corrections due to corners. These are calculated by applying techniques of conformal field theory and compared with the results of large scale numerical calculations. The central charge of the model is obtained from the corner contributions to the excess entropy and independently from the finitesize correction of the freeenergy as: lim_{Q → ∞}c(Q)/lnQ = 0.74(2), close to previous estimates calculated at finite values of Q.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 September 2014
 DOI:
 10.1088/17425468/2014/09/P09019
 arXiv:
 arXiv:1406.2913
 Bibcode:
 2014JSMTE..09..019K
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Statistical Mechanics
 EPrint:
 6 pages, 7 figures