Role of Quasi-Longitudinal and Quasi-Transverse Phonons in the Drag Thermopower of Potassium Crystals at Low Temperatures

Abstract

We have analyzed the effect of elastic energy anisotropy on the electron–phonon drag and thermoelectric phenomena in potassium crystals. It is shown that focusing leads to drag thermopower anisotropy at low temperatures; when diffuse phonon scattering at the boundaries is the predominant relaxation mechanism, focusing leads to drag thermopower anisotropy. With increasing sample cross section, the competition of the boundary and bulk phonon relaxation mechanisms leads to a nonmonotonic variation of drag thermopower anisotropy: upon a transition from the Knudsen regime of the phonon gas flow, it first increases from 16% to 30%, and then vanishes upon a transition to bulk samples. We have studied the role of quasi-longitudinal and quasi-transverse phonons in the drag thermopower of potassium crystals at low temperatures. It is shown that the contribution of slow quasi-transverse phonons to the drag thermopower of bulk potassium crystals is an order of magnitude larger than the contribution of quasi-longitudinal phonons. For this reason, the isotropic medium model cannot provide a correct description of the electron–phonon drag in metals. The effect of inelastic energy anisotropy on the spectrum and of the phonon polarization vector must be taken into account.