Critical behaviour of the dilute O(n), Izergin-Korepin and dilute $A_L$ face models: Bulk properties

Details Critical behaviour of the dilute O(n), Izergin-Korepin and dilute $A_L$ face models: Bulk properties Critical behaviour of the dilute O(n), Izergin-Korepin and dilute $A_L$ face models: Bulk properties

1996-11-20

arxiv.org/abs/cond-mat/9611156v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, no ps figures, latex file, to appear in NPB

Scientific paper

10.1016/S0550-3213(96)00654-2

The analytic, nonlinear integral equation approach is used to calculate the finite-size corrections to the transfer matrix eigen-spectra of the critical dilute O(n) model on the square periodic lattice. The resulting bulk conformal weights extend previous exact results obtained in the honeycomb limit and include the negative spectral parameter regimes. The results give the operator content of the 19-vertex Izergin-Korepin model along with the conformal weights of the dilute $A_L$ face models in all four regimes.

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