Magnetic field switching in parallel quantum dots

Abstract

We show that the Coulomb blockade in parallel dots pierced by magnetic flux $\Phi$ completely blocks the resonant current for any value of $\Phi$ except for integer multiples of the flux quantum ${\Phi }_0$. This non-analytic (switching) dependence of the current on $\Phi$ arises only when the dot states that carry the current are of the same energy. The time needed to reach the steady state, however, diverges when $\Phi \to n{\Phi }_0$.

additional explanations added, Europhysics Letters, in press

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• Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
• Canyon of Current Suppression in an interacting two-level Quantum Dot
• Flux-dependent occupations and occupation difference in geometrically symmetric and energy degenerate double-dot Aharonov-Bohm interferometers
• Quantum coherence and entanglement induced by the continuum between distant localized states
• Single-electron approach for time-dependent electron transport
• A review on Aharonov-Bohm quantum machines: Thermoelectric heat engines and diodes
• Magnetotransport in Aharonov Bohm interferometers: Exact numerical simulations
• Transport probe of nonadiabatic transition caused by Majorana moving
• Non-Markovian Transmission through Two Quantum Dots Connected by a Continuum