Phase diagram of an Ising model with long-range frustrating interactions: a theoretical analysis
Abstract
We present a theoretical study of the phase diagram of a frustrated Ising model with nearest-neighbor ferromagnetic interactions and long-range (Coulombic) antiferromagnetic interactions. For nonzero frustration, long-range ferromagnetic order is forbidden, and the ground-state of the system consists of phases characterized by periodically modulated structures. At finite temperatures, the phase diagram is calculated within the mean-field approximation. Below the transition line that separates the disordered and the ordered phases, the frustration-temperature phase diagram displays an infinite number of ``flowers'', each flower being made by an infinite number of modulated phases generated by structure combination branching processes. The specificities introduced by the long-range nature of the frustrating interaction and the limitation of the mean-field approach are finally discussed.
Keywords
Cite
@article{arxiv.cond-mat/0006262,
title = {Phase diagram of an Ising model with long-range frustrating interactions: a theoretical analysis},
author = {M. Grousson and G. Tarjus and P. Viot},
journal= {arXiv preprint arXiv:cond-mat/0006262},
year = {2022}
}
Comments
32 pages, 7 figures