Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality

Abstract

Thermal transport is a crucial probe for studying excitations in insulators. In Mott insulators, the primary candidates for heat carriers are spins and phonons, and which dominates the thermal conductivity is a persistent issue. Typically, phonons dominate the longitudinal thermal conductivity while the thermal Hall effect (THE) is primarily associated with spins, which requires time-reversal symmetry breaking. The coupling between phonons and spins usually depends on spin-orbit interaction and is relatively weak. Here, we propose a new mechanism for this coupling and the associated THE: the skew scattering of phonons via spin fluctuations by the scalar spin chirality. This coupling does not require spin-orbit interaction and is ubiquitous in Mott insulators, leading to a thermal Hall angle on the order of $10^{-3}$ to $10^{-2}$. Based on this mechanism, we investigate the THE in YMnO${}_3$ with a trimerized triangular lattice where the THE beyond spins was recognized, and predict the THE in the Kagome and square lattices.

12 pages, 7 figures

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Cited by in corpus (7)

• Sign Changes in Heat, Spin, and Orbital Magnon Transport Coefficients in Kitaev Ferromagnets
• Large Thermal Hall Effect in MnPS${}_3$
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Intrinsic Thermal Hall Effect in Mott Insulators
• Interacting many-body non-Hermitian systems as Markov chains
• Direct probe of magnetic field effects on phonons by ultrasound propagation in a quasi-two-dimensional honeycomb magnet Na${}_2$Co${}_2$TeO${}_6$