2019/06/18 by D. Schmeltzer, Schmeltzer, D.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photonic Crystals and Applications #Scientific Research and Discoveries #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1906.08705
openalex publication_date 2019/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Thermoelectric conductance of an edge mode is investigated. The edge modes of a 2D and 3D two band model with parabolic dispersion is considered. For the the one dimensional non interacting fermions the thermal conductivity computed agrees with the result known from Bosonization computations. In the presence of a magnetic field, backscattering is allowed and controls the value of the thermal conductivity. The thermal conductivity is obtained from the continuity equation of thermal current energy conservation. The thermal conductivity is computed introducing the Scattering matrix for particles and anti-particles. At finite temperatures the backscattering is allowed, the electric conductance, the thermoelectric conductance and the thermal conductance decrease with the increase of the magnetic field. At finite temperatures, weak localization effects are small and can be ignored. We confirm the experimental results in a magnetic field for a 3D Topological Insulator. An experimental set-up was proposed to test our theory.