Spin transport on the ferromagnetic checkerboard lattice

Abstract

I study spin transport on the anisotropic ferromagnetic checkerboard lattice with a Dzyaloshinskii -Moriya interaction and an easy-axis anisotropy term. I show that by fine-tuning the parameters, we can get a flat band. The transverse and longitudinal dynamical spin conductivities are calculated using a Kubo formula. The Drude weight was also calculated as a function of temperature. The Drude weight vanishes at T = 0 but is finite for T > 0. A finite Drude weight indicates an ideal conductor, which we refer to as ballistic transport.