Thermal Hall effect from a modified Lorentz gas model

We systematically investigate the thermal Hall effect in a Lorentz gas model with rotating circular scatterers; the rotating scatterers play a role similar to the magnetic field. The modified Lorentz gas model is a normal thermal transport system that satisfies Fourier law: the thermal conductivity is independent of the model length. We find that the intensity of the Hall effect changes its sign when the rotating direction of disks changes and it is independent of the magnitude of longitudinal temperature difference and only dependent of the average longitudinal temperature: it decreases with increasing the average temperature, especially at low angular velocity. The thermal Hall effect found in the modified Lorentz gas will help us understand the mechanism of the thermal Hall system and provide guidance for the application of the thermal Hall effect.