1/N expansion of the nonequilibrium infinite-U Anderson Model

Abstract

Results are presented for the nonequilibrium infinite-U Anderson model using a large-N approach, where $N$ is the degeneracy of the impurity level, and where nonequilibrium is established by coupling the level to two leads at two different chemical potentials so that there is current flow. A slave-boson representation combined with Keldysh functional integral methods is employed. Expressions for the static spin susceptibility ${\chi }_S$ and the conductance $G$ are presented to $\mathcal{O}(\frac{1}{N})$ and for an applied voltage difference $V$ less than the Kondo temperature. The correlation function for the slave-boson is found to be significantly modified from its equilibrium form in that it acquires a rapid decay in time with a rate that equals the current induced decoherence rate. Physical observables are found to have a rather complex dependence on the coupling strength to the two leads which can lead to asymmetric behavior ${\chi }_S(V)\ne {\chi }_S(-V)$, $G(V)\ne G(-V)$ both in the mixed valence and in the Kondo regime.

25 pages, 6 figures, published version

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