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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
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Affiliations:
1 School of Chemistry, The Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
a) Electronic mail: eran.rabani@gmail.com
J. Chem. Phys. 138, 164125 (2013)
/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

FIG. 1.

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

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.

FIG. 3.

Same as Figure but for V = 0.8U.

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.

FIG. 5.

Same as Figure 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

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 .

/content/aip/journal/jcp/138/16/10.1063/1.4802752
2013-04-30
2014-04-19

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