Entropic selection of magnetization in a frustrated 2D magnetic model
Abstract
We discuss the magnetic ground state and properties of a frustrated two-dimensional classical Heisenberg model of interacting hexagonal clusters of spins. The energy of the ground states is found exactly for arbitrary values of (intra-cluster couplings) and (inter-cluster couplings). Our main results concern a frustrated region of the phase diagram, where we show that the set of ground states has a degeneracy larger than that due to global rotation symmetry. Furthermore, the ground state manifold does not have a fixed total magnetization~: there is a range of allowed values. At finite temperature, our Monte-Carlo simulations show that the entropy selects the most probable value of the total magnetization, while the histogram of the Monte-Carlo time series is non-trivial. This model is a first step towards modelling properties of a class of frustrated magnetic structures composed of coupled spin clusters.
Keywords
Cite
@article{arxiv.2409.17793,
title = {Entropic selection of magnetization in a frustrated 2D magnetic model},
author = {Anuradha Jagannathan and Thierry Jolicoeur},
journal= {arXiv preprint arXiv:2409.17793},
year = {2025}
}
Comments
12 pages, 12 figures, extended version accepted by Phys Rev B