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A Cartesian quasi-classical model to nonequilibrium quantum transport: The Anderson impurity model
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View: Figures


Image of FIG. 1.
FIG. 1.

Transient currents for the resonant level model. Left, middle, and right panels show results for different source-drain voltages, different gate voltages, and different temperatures, respectively. Lower, middle, and upper panels correspond to the left, right, and total currents, respectively. Solid lines (hidden by the symbols) are the exact results derived in Ref. 13 . Symbols are the results obtained from the Cartesian mapping.

Image of FIG. 2.
FIG. 2.

The total current as a function of time for the Anderson impurity model obtained from the Cartesian mapping. Left panels show the results for T = Γ and right panels for T = Γ/5. Black, red, green, blue, magenta, cyan, and orange correspond to eV sd = 2, 4, 6, 8, 10, 12, and 14 in units of Γ, respectively.

Image of FIG. 3.
FIG. 3.

Steady state values of the current for the Anderson impurity model. Upper and lower panels are for T = Γ and T = Γ/5, respectively. Solid lines represent quantum mechanical results based on a nonequilibrium Green's function approach, circles correspond to results of the quasi-classical Cartesian mapping, and triangles are the results of the action-angle mapping of Ref. 13 , both calculated with λ1 = λ2 ≡ λ = 20.

Image of FIG. 4.
FIG. 4.

Steady state current versus the source-drain bias voltage for different values of λ1 = λ2 ≡ λ calculated from the quasi-classical Cartesian mapping. The remaining parameters are: U = 8Γ and T = Γ/5.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A Cartesian quasi-classical model to nonequilibrium quantum transport: The Anderson impurity model