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math-ph2013★ 9 cited
Phase transition free regions in the Ising model via the Kac-Ward operator
Marcin Lis
We investigate the spectral radius and operator norm of the Kac-Ward transition matrix for the Ising model on a general planar graph. We then use the obtained results to identify r…
math-ph2013★ 7 cited
The fermionic observable in the Ising model and the inverse Kac-Ward operator
Marcin Lis
We show that the critical Kac-Ward operator on isoradial graphs acts in a certain sense as the operator of s-holomorphicity, and we identify the fermionic observable for the spin I…