Magnonic thermal transport using the quantum Boltzmann equation

We present a formula for thermal transport in the bulk of Bose systems based on quantum Boltzmann equation (QBE). First, starting from kinetic and using Born approximation impurity scattering, we derive QBE provide subjected to temperature gradient. Next, apply magnons. Assuming relaxation time focusing linear response regime, show that longitudinal conductivity exhibits different behavior conventional. The reduces Drude-type limit quasiparticle approximation, while not absence approximation. Finally, applying QBE, find correction conventional is integrated as self-energy into spectral function this enhances conductivity. Thus shed light property beyond