Inelastic Coulomb scattering in a two-band picture and the temperature dependence of the resistivity

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Abstract

A calculation of the inelastic lifetime and the resistivity resulting from Coulomb coupling of conduction (s) electrons to a narrow (d) band is given for both the regular and the pair-transfer interactions in the ballistic regime. It is shown that in all cases for overlapping bands the scattering rate and the resistivity behave as T2 for a three-dimensional electron gas and as T2 lnT at two dimensions. This is the same temperature dependence as found for Coulomb scattering in a single band, but its contribution to the resistivity does not necessitate umklapp processes. The result contradicts recent arguments leading to a linear temperature dependence in a two-band picture at two dimensions. The latter can be obtained when a small amount of scattering by defects is added, as known for the single-band case. It is argued that such a linear contribution to the temperature-dependent resistivity may be more pronounced in the two-band case. Experimental manifestations of the results are discussed.

Original languageEnglish
Pages (from-to)1590-1596
Number of pages7
JournalPhysical Review B-Condensed Matter
Volume45
Issue number4
DOIs
StatePublished - 1992

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