Seebeck effect in dilute two-dimensional electron systems: temperature dependencies of diffusion and phonon-drag thermoelectric powers

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Considering screeening of electron scattering interactions in terms of the finite-temperature STLS theory and solving the linearized Boltzmann equation (with no appeal to a relaxation time approximation), we present a theoretical analysis of the low-temperature Seebeck effect in two-dimensional semiconductors with dilute electron densities. We find that the temperature (T) dependencies of the diffusion and phonon-drag thermoelectric powers (Sd and Sg) can no longer be described by the conventional simple power-laws. As temperature increases, |Sd|/T decreases when T 0.1 εF (εF is the Fermi energy), while |Sg| first increases and then falls, resulting a peak located at a temperature between Bloch-Grüneisen temperature and εF.