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We study an extended model to describe the spin-lattice coupling, incorporating individual vibrations of bonds and atomic sites alongside distance-dependent exchange interactions. The proposed spin Hamiltonian can be effectively considered as an interpolation between two well-established minimum models, the bond-phonon model and the site-phonon model. The extended model, which treats bond phonons and site phonons on comparable footing, well reproduces successive field-induced phase transitions as well as the thermodynamic properties of a three-up–one-down state in the pyrochlore-lattice Heisenberg antiferromagnet, including negative thermal expansion, an enhanced magnetocaloric effect, and a sharp specific-heat peak. The present approach is broadly applicable to various spin models, providing a framework for identifying the primary phonon modes responsible for spin-lattice coupling and for understanding complex magnetic phase diagrams.

Rights:

• Creative Commons BY Attribution 4.0 International
  

Keyword: Spin-Lattice Coupling

Date published: 2026-03-16

Publisher: American Physical Society (APS)

Journal:

• Physical Review Letters (ISSN: 10797114) vol. 136 issue. 11 116702

Funding:

• Japan Society for the Promotion of Science 20J10988
• Japan Society for the Promotion of Science 24H01609
• Japan Society for the Promotion of Science 24H01633

Manuscript type: Author's version (Accepted manuscript)

MDR DOI:

First published URL: https://doi.org/10.1103/8c73-l4nk

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Updated at: 2026-04-03 09:25:40 +0900

Published on MDR: 2026-04-03 12:26:38 +0900