Spherically symmetric approaches in the theoretical study of low-dimensional magnets
Abstract
The main ideas and some of the most important results of the spherically symmetric self-consistent approach and a number of related theoretical algorithms are presented. These methods make it possible to study low-dimensional Heisenberg-type spin models, including frustrated ones, with careful consideration of the theoretic (Mermin-Wagner and Marshall) theorems, as well as the site spin constraint. Thus, the difficulties that may arise in the traditional analysis of low-dimensional magnetic systems are avoided. The approach can also be applied to the spin-pseudospin model, and is also embedded in more complex constructions when considering spin models with free carriers, such as the basic and three-band Hubbard models, t-J and s-d models, and the Kondo lattice.
Keywords
Cite
@article{arxiv.2605.16059,
title = {Spherically symmetric approaches in the theoretical study of low-dimensional magnets},
author = {A. F. Barabanov and V. E. Valiulin and A. V. Mikheyenkov and P. S. Savchenkov},
journal= {arXiv preprint arXiv:2605.16059},
year = {2026}
}