Universality Class for Spin Model with Generalized Ising Spin on One-Dimensional Lattice

1 September 1991

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 86 (3) , 587-591
https://doi.org/10.1143/ptp.86.587

Abstract

We generalize the Ising spin σ_i to a function σ(x_i), which is a mapping from [-a, a] into [-1, 1]. We obtain low-temperature expansions of the free energy, the correlation length and so on for a system of σ(x_i) with nearest-neighbor interaction on a one-dimensional lattice. The critical behavior of the system is determined by the nature of σ(x_i) around its maximum absolute value.

Keywords

GENERALIZED ISING SPIN
SPIN MODEL
UNIVERSALITY CLASS
DIMENSIONAL LATTICE
BEHAVIOR
LOW TEMPERATURE

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