Non-linear magnon transport in a bilayer van der Waals antiferromagnets

Abstract

In this paper, we study the Berry curvature induced linear and nonlinear magnon transport in bilayer van der Waals antiferromagnets, where we deduce forms for the spin and energy currents within the semiclassical Boltzmann formalism under the relaxation time approximation. Even in the absence of the Dzyaloshinskii-Moriya interaction, if we turn on the layer-dependent electrostatic doping (ED) potential and anisotropy in the Heisenberg interactions, the linear response remains zero, whereas, we obtain a nonzero nonlinear thermal Hall response resulting from higher moments of the Berry curvature. We show that, there is a sign reversal of nonlinear thermal Hall conductivity with varying strength of ED potential, which can be potentially useful in spin-based technologies. We also comment on the momentum and temperature dependence of the relaxation time which can influence the transport properties.

16 pages. Comments welcome

References in corpus (16)

• Dissipationless Quantum Spin Current at Room Temperature
• Observation of the Magnon Hall Effect
• Robust isothermal electric switching of interface magnetization: A route to voltage-controlled spintronics
• Berry phase effect in anomalous thermoelectric transport
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• Moiré magnons in twisted bilayer magnets with collinear order
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• A Perspective on Magnon Spin Nernst Effect in Antiferromagnets
• A search for non-reciprocal magnons in MnPS${}_3$
• Insights on magnon topology and valley-polarization in 2D bilayer quantum magnets
• Magnus spin Hall and spin Nernst effects in gapped 2D Rashba systems

Cited by in corpus (7)

• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Magnon Nonlinear Hall Effect in 2D Antiferromagnetic Insulators
• Intrinsic Second-Order magnon Thermal Hall Effect
• Interaction-induced nonlinear magnon transport in noncentrosymmetric magnets
• Topological switching in bilayer magnons via electrical control
• Ferroelectric Switchable Topological Magnon Hall Effect in Type-I Multiferroics