  Thermoelectric conductance of Dirac materials and in particular zero modes
reveals the effect of topology .Weyl semimetals with a boundary at z = 0 give
rise to chiral zero modes with- out backscattering resulting in a significant
contribution to thermal conductivity. By doping the surface with paramagnetic
impurities backscattering is allowed, and the thermal conductivity is
controlled by the decrease of the transmission function |t|^{2} < 1. We attach
a thermal reservoir at the edge of the sample and study the thermal and
electrical conductance. For the ballistic and mesoscopic situations, quantum
uctuations causes oscillations of the thermal and electric conduc- tance. The
thermoelectric conductance varies periodically with the voltage bias. We
compare the thermal conductance with and without impurity scattering and
observe the effects of topology. An experimental set-up is proposed to test
this theory. 1Thermoelectric conductance of Dirac materials and in particular
zero modes reveals the effect of topology .Weyl semimetals with a boundary at z
= 0 give rise to chiral zero modes with- out backscattering resulting in a
significant contribution to thermal conductivity. By doping the surface with
paramagnetic impurities backscattering is allowed, and the thermal conductivity
is controlled by the decrease of the transmission function |t|^{2} < 1 . We
attach a thermal reservoir at the edge of the sample and study the thermal and
electrical conductance. For the ballistic and mesoscopic situations, quantum
uctuations causes oscillations of the thermal and electric conduc- tance. The
thermoelectric conductance varies periodically with the voltage bias. We
compare the thermal conductance with and without impurity scattering and
observe the effects of topology. An experimental set-up is proposed to test
this theory.
