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0751–0776 (2014)

PACS numbers: 66.70.Lm, 72.15.Jf, 72.20.Pa, 73.50.Lw, 74.25.fg, 84.60.Rb, 85.80.Fi

Based on the bottomup approach of the LandauerDattaLundstrom transport model, the basic equations of thermoelectricity with the corresponding transport coefficients for both the 1D conductors in the ballistic regime and the 3D conductors in the diffusion regime with an arbitrary dispersion and in any scale are derived. The scattering processes are accounted phenomenologically. In transmission coefficient , the average free-path length is described by power law. Bipolar conductivity, the WiedemannFranz law, Lorenz numbers, and the Mott relation are discussed in details. In Appendix for reference purposes, the thermoelectric coefficients for 1D, 2D, and 3D semiconductors with parabolic dispersion in the ballistic and diffusive regimes are expressed through standard FermiDirac integrals.

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