Diagonal superexchange in a simple square CuO$_2$ lattice

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Hauptverfasser: Gavrichkov, V. A., Polukeev, S. I., Ovchinnikov, S. G.
Format: Preprint
Veröffentlicht: 2025
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author Gavrichkov, V. A.
Polukeev, S. I.
Ovchinnikov, S. G.
author_facet Gavrichkov, V. A.
Polukeev, S. I.
Ovchinnikov, S. G.
contents Many microscopic models with the interaction between the next-nearest neighbours as a key parameter for cuprate physics have inspired us to study the diagonal superexchange interaction in a CuO$_2$ layer. Our investigation shows that models with extended hopping provide a correct representation of magnetic interactions only in a hypothetical square CuO$_2$ layer, where the diagonal superexchange interaction with the next-nearest neighbors always has the AFM nature. The conclusions are based on the symmetry prohibition on FM contribution to the diagonal superexchange between the next-nearest neighbors for a simple square CuO$_2$ layer rather than for a real CuO$_2$ layer, where diagonal AFM superexchange may be overestimated. We also discuss the reasons for magnetic frustration effects and high sensitivity of spin nanoinhomogeneity to square symmetry breaking.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17432
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Diagonal superexchange in a simple square CuO$_2$ lattice
Gavrichkov, V. A.
Polukeev, S. I.
Ovchinnikov, S. G.
Strongly Correlated Electrons
Many microscopic models with the interaction between the next-nearest neighbours as a key parameter for cuprate physics have inspired us to study the diagonal superexchange interaction in a CuO$_2$ layer. Our investigation shows that models with extended hopping provide a correct representation of magnetic interactions only in a hypothetical square CuO$_2$ layer, where the diagonal superexchange interaction with the next-nearest neighbors always has the AFM nature. The conclusions are based on the symmetry prohibition on FM contribution to the diagonal superexchange between the next-nearest neighbors for a simple square CuO$_2$ layer rather than for a real CuO$_2$ layer, where diagonal AFM superexchange may be overestimated. We also discuss the reasons for magnetic frustration effects and high sensitivity of spin nanoinhomogeneity to square symmetry breaking.
title Diagonal superexchange in a simple square CuO$_2$ lattice
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2501.17432