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Thermal Hall conductivity from semiclassical spin dynamics simulations: Implementation and applications to chiral ferromagnets and Kitaev magnets

Ignacio Salgado-Linares1,2, Alexander Mook3, Léo Mangeolle1,2, and Johannes Knolle1,2,4

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Phys. Rev. B 114, 125123 – Published 21 August, 2026

DOI: https://doi.org/10.1103/b1r9-1l3f

Abstract

We investigate thermal Hall transport in magnetic systems, using semiclassical spin dynamics simulations. Building on a linear response framework, we discuss the intricacies of computing the thermal Hall conductivity from real-time energy current correlations and the energy magnetization. We then apply this methodology to two models: a square-lattice chiral magnet with in-plane Dzyaloshinskii-Moriya interaction, and the antiferromagnetic Kitaev model in a field. Our results demonstrate the efficiency of semiclassical spin dynamics to study thermal Hall transport capturing quantitative effects beyond the simple intrinsic noninteracting approximation. They can serve as a benchmark for comparison with experiments in regimes where nonlinearities from magnon-magnon interactions and strong thermal fluctuations play a crucial role.

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Phys. Rev. B 114, 125123– Published 21 August, 2026
  • Received 12 March 2026
  • Revised 10 July 2026
  • Accepted 23 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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