Conductivity of disordered electrons: Mean-field approximation containing vertex corrections

Details Conductivity of disordered electrons: Mean-field approximation containing vertex corrections Conductivity of disordered electrons: Mean-field approximation containing vertex corrections

2000-08-25

arxiv.org/abs/cond-mat/0008380v1

Phys. Rev. B63 125112 (2001) 1-7

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX, 7 pages, 4 EPS figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.63.125112

The electrical {\em dc}-conductivity of disordered, non-interacting electrons is calculated in the asymptotic limit of high lattice dimensions $d\to \infty$. To go beyond the lowest-order contribution in the expansion parameter $1/d$ of the single bubble diagram, vertex corrections are calculated from an asymptotic expression for the two-particle vertex. A mean-field approximation for the dc-conductivity containing the leading high-dimensional vertex corrections is proposed which is free of spurious non-analyticities, i.e. the conductivity is non-negative and shows no unphysical behavior in $d\geq 3$.

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