Susceptibility Calculations in Periodic and Quasiperiodic Planar Ising Models

Date

Authors

Au-Yang, Helen

Perk, Jacques

Publisher

Elsevier

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

Keywords

Keywords: Low temperature effects; Magnetic susceptibility; Magnetization; Mathematical models; Lattice-lattice scaling; Ferromagnetic materials Corrections to scaling; Fibonacci sequences; Ising model; Lattice-lattice scaling; Painlevé functions; Penrose tilings; Scaling limit; Wavevector-dependent susceptibility; Z-invariance

URI

http://hdl.handle.net/1885/28458

Collections

ANU Research Publications

Source

Physica A: Statistical mechanics and its applications

Type

Journal article

DOI

10.1016/S0378-4371(02)01780-6

Restricted until

2037-12-31

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File

Description

01_Au-Yang_Susceptibility_Calculations_in_2003.pdf (137.74 KB)