Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-09-28
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
33 pages, 8 figures
Scientific paper
The Landauer approach to diffusive transport is mathematically related to the solution of the Boltzmann transport equation, and expressions for the thermoelectric parameters in both formalisms are presented. Quantum mechanical and semiclassical techniques to obtain from a full description of the bandstructure, E(k), the number of conducting channels in the Landauer approach or the transport distribution in the Boltzmann solution are developed and compared. Thermoelectric transport coefficients are evaluated from an atomistic level, full band description of a crystal. Several example calculations for representative bulk materials are presented, and the full band results are related to the more common effective mass formalism. Finally, given a full E(k) for a crystal, a procedure to extract an accurate, effective mass level description is presented.
Datta Supriyo
Jeong Changwook
Kim Raseong
Luisier Mathieu
Lundstrom Mark
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