Susceptibility calculations in periodic and quasiperiodic planar Ising models

Helen Au-Yang and Jacques H.H. Perk

Physica A: Statistical Mechanics and its Applications, 2003, vol. 321, issue 1, 81-89

Abstract: New results are presented for the wavevector-dependent susceptibility of Z-invariant periodic and quasiperiodic Ising models in the scaling limit, generalizing old results of Tracy and McCoy for the square lattice. Explicit results are worked out for the two leading singular terms of the susceptibility on four regular isotropic lattices. The methods used provide a proof of the extended lattice–lattice scaling hypothesis for the class of models under consideration.

Keywords: Ising model; Z-invariance; Wavevector-dependent susceptibility; Scaling limit; Painlevé functions; Corrections to scaling; Lattice–lattice scaling; Fibonacci sequences; Penrose tilings (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:321:y:2003:i:1:p:81-89

DOI: 10.1016/S0378-4371(02)01780-6

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