Abstract
We present studies of the electron transport and circular currents induced by the bias voltage and the magnetic flux threading a ring of three quantum dots coupled with two electrodes. Quantum interference of electron waves passing through the states with opposite chirality plays a relevant role in transport, where one can observe Fano resonance with destructive interference. The quantum interference effect is quantitatively described by local bond currents and their correlation functions. Fluctuations of the transport current are characterized by the Lesovik formula for the shot noise, which is a composition of the bond current correlation functions. In the presence of circular currents, the cross-correlation of the bond currents can be very large, but it is negative and compensates for the large positive auto-correlation functions.
Highlights
In 1985, Webb et al [1] presented their pioneering experiment, showing Aharonov-Bohm oscillations in a nanoscopic metallic ring and a role of quantum interference (QI) in electron transport.Later, Ji et al [2] demonstrated the electronic analogue of the optical Mach–Zehnder interferometer (MZI), which was based on closed-geometry transport through single edge states in the quantumHall regime
We considered the influence of quantum interference on electron transport and current correlations in a ring of three quantum dots threaded by a magnetic flux
As we considered elastic scatterings, for which Kirchhoff’s current law is fulfilled, the transmission T = G12 + G13 is a sum of the local bond conductances and the shot noise for the transport current is a composition of the local current sh = S sh sh sh correlation functions, Str,tr
Summary
In 1985, Webb et al [1] presented their pioneering experiment, showing Aharonov-Bohm oscillations in a nanoscopic metallic ring and a role of quantum interference (QI) in electron transport. Our interest is in the internal local currents and their correlations in a ring geometry to see a role of quantum interference. An interesting aspect is the formation of a quantum vortex flow driven by a net current from the source to the drain electrode, which has been studied in many molecular systems [7,10,12,13,14,15,16,17,18,19,20,21] (see [22]). Φ and attached to the left (L) and the right (R) electrodes
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