Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains
Statistical Mechanics
2021-06-02 v3
Abstract
Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or non-zero magnetization, but the method reflects crossover from temperature-like to field-like renormalization-group flows as the mechanism for the higher-dimensional phase transitions. The magnetization of each chain acts, via the interaction constant, as a magnetic field on its neighboring chains, thus entering its renormalization-group calculation. The method is highly flexible for wide application.
Keywords
Cite
@article{arxiv.2006.05644,
title = {Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains},
author = {Ibrahim Kecoglu and A. Nihat Berker},
journal= {arXiv preprint arXiv:2006.05644},
year = {2021}
}
Comments
Published version, 4 pages, 6 figures