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Steady state conductance in a double quantum dot array: The nonequilibrium equation-of-motion Green function approach
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10.1063/1.4802752
/content/aip/journal/jcp/138/16/10.1063/1.4802752
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/16/10.1063/1.4802752

Figures

Image of FIG. 1.
FIG. 1.

A sketch of the double QD bridge. See main text for the definition of all quantities.

Image of FIG. 2.
FIG. 2.

Plots of the differential conductance versus the bias voltage for the symmetric bridge (ɛα↑ = ɛα↓ = ɛβ↑ = ɛβ↓ = 0.35U) for V = 0. Upper left, upper right, lower left, and lower right panels correspond to h = 0.1U, 0.3U, 0.5U, and 0.7U, respectively. Black curves correspond to results based on the ME. Red (circles), green (diamonds), blue (triangles), and magenta (stars) correspond to the results obtained by approximation schemes 1–4, respectively. The notation |i⟩ → |j⟩ indicates that the conductance peak calculated by means of ME corresponds to a transition form the n i -particle states to any of the n j -particle states. The remaining model parameters were , , and β−1 = U/40.

Image of FIG. 3.
FIG. 3.

Same as Figure 2 but for V = 0.8U.

Image of FIG. 4.
FIG. 4.

Plots of the differential conductance versus the bias voltage for the asymmetric bridge (ɛα↑ = ɛα↓ = 0.15U and ɛβ↑ = ɛβ↓ = −0.2U) for V = 0. Upper left, upper right, lower left, and lower right panels correspond to h = 0.1U, 0.3U, 0.5U, and 0.7U, respectively. Black curves correspond to results based on the ME. Red (circles), green (diamonds), blue (triangles), and magenta (stars) correspond to the results obtained by approximation schemes 1–4, respectively. The notation |i⟩ → |j⟩ indicates that the conductance peak calculated by means of ME corresponds to a transition form the n i -particle states to any of the n j -particle states. The remaining model parameters were , , and β−1 = U/40.

Image of FIG. 5.
FIG. 5.

Same as Figure 4 but for V = 0.8U. Results obtained from approximation 1 are only presented for the case h = 0.1U (upper left panel) as we could not converge it for higher values of h.

Tables

Generic image for table
Table I.

(Left column) Location of the poles of the unperturbed system's GF as calculated using the 2nd approximation. (Right column) The differences in energy between many-particle states that differ by one electron, such that ΔE(N) = E(N) − E(N − 1). Here , and .

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/content/aip/journal/jcp/138/16/10.1063/1.4802752
2013-04-30
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Steady state conductance in a double quantum dot array: The nonequilibrium equation-of-motion Green function approach
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/16/10.1063/1.4802752
10.1063/1.4802752
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