Correlation functions of the one-dimensional random-field Ising model at zero temperature

We consider the one-dimensional random-field Ising model, where the spin-spin coupling [ital J] is ferromagnetic and the external field is chosen to be +[ital h] with probability [ital p] and [minus][ital h] with probability 1[minus][ital p]. At zero temperature, we calculate an exact expression for...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. B, Condensed matter Condensed matter, 1993-10, Vol.48 (13), p.9508-9514
Main Authors: Farhi, E, Gutmann, S
Format: Article
Language:English
Subjects:
665000 - Physics of Condensed Matter- (1992-)
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
CRYSTAL MODELS
ENTROPY
FUNCTIONS
ISING MODEL
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
ORIENTATION
PHYSICAL PROPERTIES
RANDOMNESS
SPIN ORIENTATION
TEMPERATURE ZERO K
THERMODYNAMIC PROPERTIES
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the one-dimensional random-field Ising model, where the spin-spin coupling [ital J] is ferromagnetic and the external field is chosen to be +[ital h] with probability [ital p] and [minus][ital h] with probability 1[minus][ital p]. At zero temperature, we calculate an exact expression for the correlation length of the quenched average of the correlation function [l angle][ital s][sub 0][ital s[ital n]][r angle][minus][l angle][ital s][sub 0][r angle][l angle][ital s][sub [ital n]][r angle] in the case that 2[ital J]/[ital h] is not an integer. The result is a discontinuous function of 2[ital J]/[ital h]. When [ital p]=1/2, we also place a bound on the correlation length of the quenched average of the correlation function [l angle][ital s][sub 0][ital s[ital n]][r angle].
ISSN:0163-1829
1095-3795
DOI:10.1103/physrevb.48.9508