The Inclusion Of Multiple Parabolic Sub-bands In Thermoelectric Transport Coefficient Of Rectangular Bismuth Nano Wires On The Basis Of Boltzmann Relaxation Time Approach

24 Jan
Posted on Author

Authors: Dr. M. P. Singh

Abstract: In the paper, we have generalized the formulation of the thermoelectric coefficients of rectangular nanowires based on the Boltzmann relaxation time approach. The relaxation time is energy-dependent due to multiple scattering phenomena, and with certain assumptions for the size quantum limit (SQL), transport coefficients are simplified for acoustic phonon scattering. For pure acoustic phonon scattering below 200 K, the Seebeck coefficient of bismuth nanowires changes from a maximum value to a minimum value in the range of 180-206 µV/K. The consideration of the multi-sub-band effect decreases the value of the Seebeck coefficient. The Wiedemann–Franz law is violated, and the Lorentz factor shows unexpected oscillatory behaviour below 200 K. The relaxation rate of the bismuth nanowire is τ=τ_0 ε^(0.72).

DOI: http://doi.org/10.5281/zenodo.18359379