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

preprint2009arXivOpen access

Abstract

Results are presented for the nonequilibrium infinite-U Anderson model using a large-N approach, where NN 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 χSχ_S and the conductance GG are presented to O(1N){\cal O}(\frac{1}{N}) and for an applied voltage difference VV 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 χS(V)≠χS(−V)χ_S(V) \neq χ_S(-V), G(V)≠G(−V)G(V)\neq G(-V) both in the mixed valence and in the Kondo regime.

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