We consider clean metals, at finite temperature, in which the inelastic rate, ħ∕τee, can become of the order of, or larger, than the band splitting energy. We show that in such systems, contrary to the common knowledge, the umklapp scattering rate becomes independent of both τee and the temperature T, in three dimensional systems. We discuss the relation of this phenomenon to the saturation of resistivity at high temperature.
Bibliographical noteFunding Information:
We acknowledge discussions of the results with A.V. Andreev, Yu.M. Galperin, L.I. Glazman, A.J. Millis, and Z. Ovadyahu. This research was supported by the Israel Science Foundation (ISF) Grant No. 302/14 (O.A.), and by the Simons Foundation (I.A.).
© 2017 Elsevier Inc.
- A15 compounds
- Resistivity saturation
- Umklapp scattering