Fundamental Distinction between Intrinsic and Extrinsic Nonlinear Thermal Hall Effects

Abstract

We theoretically investigated the fundamental distinction between intrinsic and extrinsic nonlinear thermal Hall effect in the presence of disorder at the second-order response to the temperature gradient in terms of the semi-classical Boltzmann equation. We found that, at low temperatures, the intrinsic contribution of the nonlinear thermal Hall conductivity is proportional to the square of temperature, whereas the extrinsic contributions (side-jump and skew-scattering) are independent of temperature. This distinct dependency on temperature provide a new approach to readily distinguish the intrinsic and extrinsic contributions. Specifically, we analysed the nonlinear thermal Hall effect for a tilted two-dimensional massive Dirac material. In particular, we showed that when the Fermi energy is located at the Dirac point, the signal is solely from the intrinsic mechanism; when the Fermi energy is higher, the extrinsic contributions are dominant, which are uncovered to be two to three orders of magnitude larger than the intrinsic contribution.

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Cited by in corpus (7)

• Quantum kinetic theory of nonlinear thermal current
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Disorder in the non-linear anomalous Hall effect of $\mathcal{P}\mathcal{T}$-symmetric Dirac fermions
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Thermal difference reflectivity of tilted 2D Dirac materials
• Intrinsic nonlinear valley Nernst effect in the strained bilayer graphene