Out-of-equilibrium Anderson model at high and low bias voltages

Details Out-of-equilibrium Anderson model at high and low bias voltages Out-of-equilibrium Anderson model at high and low bias voltages

2002-10-28

arxiv.org/abs/cond-mat/0210605v1

J. Phys. Soc. Jpn. 71, 2969 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 4 figures: to appear in J. Phys. Soc. Jpn. 71, No.12 (2002)

Scientific paper

10.1143/JPSJ.71.2969

We study the high- and low-voltage properties of the out-of-equilibrium Anderson model for quantum dots, using a functional method in the Keldysh formalism. The Green's function at the impurity site can be regarded as a functional of a nonequilibrium distribution function. The dependence of the Green's function on the bias voltage V and temperature T arises through the nonequilibrium distribution function. From this behavior as a functional, it is shown that the nonequilibrium Green's function at high-voltage limit is identical to the equilibrium Green's function at high-temperature limit. This correspondence holds when the couplings of the dot and two leads, at the left and right, are equal. In the opposite limit, for small eV, the low-energy behavior of the Green's function can be described by the local Fermi-liquid theory up to terms of order $(eV)^2$. These results imply that the correlation effects due to the Coulomb interaction U can be treated adiabatically in the two limits, at high and low bias voltages.

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