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.

References in corpus (30)

• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Observation of the Magnon Hall Effect
• Proper Scaling of the Anomalous Hall Effect
• Nonlinear Hall Effects
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Mott Relation for Anomalous Hall and Nernst effects in Ga1-xMnxAs Ferromagnetic Semiconductors
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Linear magnetization dependence of the intrinsic anomalous Hall effect
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr${}_2$Se${}_{4-x}$Br${}_x$
• High-frequency rectification via chiral Bloch electrons
• Berry curvature dipole current in transition metal dichalcogenides family
• Berry Curvature and Phonon Hall Effect
• Multivariable Scaling for the Anomalous Hall Effect
• Strongly enhanced Berry dipole at topological phase transitions in BiTeI
• Quantum theory of the nonlinear Hall effect
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Terahertz detection based on nonlinear Hall effect without magnetic field
• Phenomenological study of the electronic transport coefficients of graphene
• Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Topological currents in black phosphorus with broken inversion symmetry
• Shift charge and spin photocurrents in Dirac surface states of topological insulator
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Berry phase of phonons and thermal Hall effect in nonmagnetic insulators
• Resonant photovoltaic effect in doped magnetic semiconductors
• Topological semimetals in the SnTe material class: Nodal lines and Weyl points
• Two-dimensional metals for piezotronics devices based on Berry curvature dipole
• Fundamental relations for anomalous thermoelectric transport coefficients in the non-linear regime

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