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Simplified transfer matrix approach in the two-dimensional Ising model with various boundary conditions

Kastening, Boris (2002):
Simplified transfer matrix approach in the two-dimensional Ising model with various boundary conditions.
In: Physical Review E, American Physical Society, pp. 057103(1)-057103(4), 66, (5), ISSN 1063-651X,
[Online-Edition: http://dx.doi.org/10.1103/PhysRevE.66.057103],
[Article]

Abstract

A recent simplified transfer matrix solution of the two-dimensional Ising model on a square lattice with periodic boundary conditions is generalized to periodic-antiperiodic, antiperiodic-periodic, and antiperiodic-antiperiodic boundary conditions. It is suggested to employ linear combinations of the resulting partition functions to investigate finite-size scaling. An exact relation of such a combination to the partition function corresponding to Brascamp-Kunz boundary conditions is found.

Item Type: Article
Erschienen: 2002
Creators: Kastening, Boris
Title: Simplified transfer matrix approach in the two-dimensional Ising model with various boundary conditions
Language: English
Abstract:

A recent simplified transfer matrix solution of the two-dimensional Ising model on a square lattice with periodic boundary conditions is generalized to periodic-antiperiodic, antiperiodic-periodic, and antiperiodic-antiperiodic boundary conditions. It is suggested to employ linear combinations of the resulting partition functions to investigate finite-size scaling. An exact relation of such a combination to the partition function corresponding to Brascamp-Kunz boundary conditions is found.

Journal or Publication Title: Physical Review E
Volume: 66
Number: 5
Publisher: American Physical Society
Divisions: 11 Department of Materials and Earth Sciences > Material Science > Advanced Thin Film Technology
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences
Date Deposited: 09 Jan 2013 08:11
Official URL: http://dx.doi.org/10.1103/PhysRevE.66.057103
Identification Number: doi:10.1103/PhysRevE.66.057103
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