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Volumn 78, Issue 16, 2008, Pages

Delayed currents and interaction effects in mesoscopic capacitors

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EID: 54449088141     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.165304     Document Type: Article
Times cited : (43)

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    • It is straightforward to verify that corrections to this value (i.e., derivatives of the Wigner-Smith time) do not affect the low-frequency properties of the conductance. In fact, the first derivative is canceled in the expansion of g (ω) up to second order in the frequency.
    • It is straightforward to verify that corrections to this value (i.e., derivatives of the Wigner-Smith time) do not affect the low-frequency properties of the conductance. In fact, the first derivative is canceled in the expansion of g (ω) up to second order in the frequency.
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    • Our discussion is confined to the case where interactions are dominant on the dot, while they are assumed to be screened away on the wire (see Fig. 1).
    • Our discussion is confined to the case where interactions are dominant on the dot, while they are assumed to be screened away on the wire (see Fig. 1).
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    • In detailing the linear-response derivation within scattering theory, we confine ourselves to the simple case at hand: a dot connected by a single-channel wire to a single reservoir.
    • In detailing the linear-response derivation within scattering theory, we confine ourselves to the simple case at hand: a dot connected by a single-channel wire to a single reservoir.
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    • One may wonder whether a full treatment of the electronic dispersion (beyond the linearization around the Fermi level) may modify our picture of incoming and outgoing current operators. However, it turns out that such deviations affect the ac conductance only at frequency orders higher than the second.
    • One may wonder whether a full treatment of the electronic dispersion (beyond the linearization around the Fermi level) may modify our picture of incoming and outgoing current operators. However, it turns out that such deviations affect the ac conductance only at frequency orders higher than the second.


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