Tunable orbital thermoelectric transport with spin-valley coupling in a monolayer of ferromagnetic transition metal dichalcogenides

The valley transport of electrons can carry not only charge but also spin angular momentum and orbital angular momentum (OAM). However, investigations on thermoelectric transport of OAM manipulated by valley degrees of freedom remain limited. Here, using the ferromagnetic transition metal dichalcogenides ${\mathrm{RuCl}}_{2}$ as an example, we investigate valley-contrasting Berry curvature and demonstrate its role in generating valley-dependent anomalous and orbital Nernst effects. The thermoelectric transport of OAM is shown to be modulated by intrinsic spin polarization and exhibits characteristics of valley-orbital coupling. Furthermore, we show that spin-valley coupling plays a crucial role in controlling the orbital Nernst effect and distinguishing it from the anomalous Nernst effect. Based on these findings, we propose a thermoelectric transport mechanism for generating pure orbital currents.