Nonlinear magnon transport in bilayer van der Waals antiferromagnets

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