The influence of quasi-transversive phonons on the electron-phonon drag thermopower in noble metals

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Abstract

The impact of elastic energy anisotropy on the drag thermopower in noble metals at low temperatures has been investigated. In order to describe the interaction of electrons with longitudinal phonons, the strain potential theory has been employed. In calculating electron relaxation on shear components of vibrational modes, the electron–phonon interaction constant, previously determined from a comparison of the calculated electrical resistivity of Au, Ag, and Cu bulk crystals with experimental data, was used. The maximum values of the drag thermopower in perfect noble metal crystals have been determined. These values are independent of the electron–phonon interaction constants; rather, they are determined by the elastic moduli of the second order, crystal density, and electron concentration. It has been demonstrated that quasi-transverse phonons constitute predominant contribution to the drag thermopower at low temperatures, whereas the contribution of longitudinal phonons were found to be negligible. At the same time, for perfect Au, Ag, and Cu crystals, the dominant contribution to the electron–phonon drag is provided by the slow t2-mode.

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I. G. Kuleyev

Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences

Author for correspondence.
Email: kuleev@imp.uran.ru
Russian Federation, Ekaterinburg, 620108

I. I. Kuleyev

Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences

Email: kuleev@imp.uran.ru
Russian Federation, Ekaterinburg, 620108

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2. Fig. 1. Angular dependences of isoenergetic surfaces (10–5 s/cm) for crystals: Au (curves 1, 2, 3), Ag (curves 1a, 2a, 3a). For longitudinal phonons – curves 1, 1a and 1b, fast phonons – curves 2, 2a and 2b and slow transverse phonons – curves 3, 3a and 3b: (a) for wave vectors in the plane of the cube face; (b) for wave vectors in the diagonal plane.

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3. Fig. 2. Temperature dependence of the thermoelectric power of silver [11], as well as approximation of experimental data by curves 1, 2, 3, 4 and 5.

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