CONNECTED DIAGRAM EXPANSION OF TRANSPORT COEFFICIENTS. I. ELECTRON-IMPURIITY SYSTEM.
Abstract
A connectied-diagram expansion method is applied in the evaluation of the correlation function formulas for transport coefficients of an electron-impurity system. This method does not utilize any special representation and is applicable whether or not the system is subjected to a time-dependent electric field and whether or not it is subjected to a constant magnetic field. The connection between the correlation function formula and the generalized transport equation of Kohn and Luttinger is clarified. The first density correction to the conventional formula for the static conductivity of a weakcoupling system is explicitly formulated in integrals with the assumption of a more realistic distribution of impurities than the usually assumed uniform distribution. The expansion in powers of the impurity density, whose validity may be questioned in the light of recent controversies over the virial expansion of transport coefficients of a classical gas, does not seem to lead to difficulties for weak, short range impurity potentials. The cases of dynamic conductivity and magnetoresistance are discussed in terms of generalized transport equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1966
- Accession Number
- AD0626227
Entities
People
- S. Fujita
Organizations
- University of Oregon