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Title: Boundary magnetization of a two-dimensional Ising model with inhomogeneous nearest-neighbor interactions

Abstract

An explicit formula for the boundary magnetization of a two-dimensional Ising model with a strip of inhomogeneous interactions is obtained by means of a transfer matrix mean-field method introduced by Lipowski and Suzuki. There is clear numerical evidence that the formula is exact By taking the limit where the width of the strip approaches infinity and the interactions have well defined bulk limits, I arrive at the boundary magnetization for a model which includes the Hilhorst--van Leeuwen model. The rich critical behavior of the latter magnetization is thereby rederived with little effort.

Authors:
 [1]
  1. Dipartimento di Fisica, Politecnico di Torino, I-10129 Torino (Italy)
Publication Date:
OSTI Identifier:
6785571
Resource Type:
Journal Article
Journal Name:
Physical Review Letters; (United States)
Additional Journal Information:
Journal Volume: 73:20; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ISING MODEL; MAGNETIZATION; BOUNDARY CONDITIONS; INHOMOGENEOUS FIELDS; MEAN-FIELD THEORY; TRANSFER MATRIX METHOD; TWO-DIMENSIONAL CALCULATIONS; WIDTH; CALCULATION METHODS; CRYSTAL MODELS; DIMENSIONS; MATHEMATICAL MODELS; 661300* - Other Aspects of Physical Science- (1992-)

Citation Formats

Pelizzola, A. Boundary magnetization of a two-dimensional Ising model with inhomogeneous nearest-neighbor interactions. United States: N. p., 1994. Web. doi:10.1103/PhysRevLett.73.2643.
Pelizzola, A. Boundary magnetization of a two-dimensional Ising model with inhomogeneous nearest-neighbor interactions. United States. https://doi.org/10.1103/PhysRevLett.73.2643
Pelizzola, A. Mon . "Boundary magnetization of a two-dimensional Ising model with inhomogeneous nearest-neighbor interactions". United States. https://doi.org/10.1103/PhysRevLett.73.2643.
@article{osti_6785571,
title = {Boundary magnetization of a two-dimensional Ising model with inhomogeneous nearest-neighbor interactions},
author = {Pelizzola, A},
abstractNote = {An explicit formula for the boundary magnetization of a two-dimensional Ising model with a strip of inhomogeneous interactions is obtained by means of a transfer matrix mean-field method introduced by Lipowski and Suzuki. There is clear numerical evidence that the formula is exact By taking the limit where the width of the strip approaches infinity and the interactions have well defined bulk limits, I arrive at the boundary magnetization for a model which includes the Hilhorst--van Leeuwen model. The rich critical behavior of the latter magnetization is thereby rederived with little effort.},
doi = {10.1103/PhysRevLett.73.2643},
url = {https://www.osti.gov/biblio/6785571}, journal = {Physical Review Letters; (United States)},
issn = {0031-9007},
number = ,
volume = 73:20,
place = {United States},
year = {1994},
month = {11}
}