Spherically symmetric approaches in the theoretical study of low-dimensional magnets

Fuente: arXiv
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Autori principali: Barabanov, A. F., Valiulin, V. E., Mikheyenkov, A. V., Savchenkov, P. S.
Natura: Preprint
Pubblicazione: 2026
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author Barabanov, A. F.
Valiulin, V. E.
Mikheyenkov, A. V.
Savchenkov, P. S.
author_facet Barabanov, A. F.
Valiulin, V. E.
Mikheyenkov, A. V.
Savchenkov, P. S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_16059
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spherically symmetric approaches in the theoretical study of low-dimensional magnets
Barabanov, A. F.
Valiulin, V. E.
Mikheyenkov, A. V.
Savchenkov, P. S.
Strongly Correlated Electrons
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.
title Spherically symmetric approaches in the theoretical study of low-dimensional magnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2605.16059