# Effective indirect multi-site spin-spin interactions in the s-d(f) model

Source: [Effective indirect multi-site spin-spin interactions in the s-d(f) model](<https://www.sota2.com/research/paper/68fa35ee1e209131ce8a5bae>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:32:51.504Z

Authors: K.K. Komarov, D.M. Dzebisashvili

Published: 2016-09-19T05:53:58.000Z

## Abstract

Using the diagram technique for Matsubara Green's functions it is shown that the dynamics of the localized spin subsystem in the s-d(f) model can be described in terms of an effective spin model with multi-site spin-spin interactions. An exact representation of the action for the effective purely spin model is derived as an infinite series in powers of s-d(f) exchange interaction $J$. The indirect interactions of the 2-nd, 3-rd and 4-th order are discussed.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1609.05603>)

[PDF](<https://arxiv.org/pdf/1609.05603.pdf>)