Corner Exponents in the Two-Dimensional Potts Model

Details Corner Exponents in the Two-Dimensional Potts Model Corner Exponents in the Two-Dimensional Potts Model

1997-08-27

arxiv.org/abs/cond-mat/9708207v1

J. Stat. Phys. 86 (1997) 1153

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 eps-figures, uses LaTex and epsf

Scientific paper

10.1007/BF02183618

The critical behavior at a corner in two-dimensional Ising and three-state Potts models is studied numerically on the square lattice using transfer operator techniques. The local critical exponents for the magnetization and the energy density for various opening angles are deduced from finite-size scaling results at the critical point for isotropic or anisotropic couplings. The scaling dimensions compare quite well with the values expected from conformal invariance, provided the opening angle is replaced by an effective one in anisotropic systems.

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