Flux dependent current rectification in geometrically symmetric interconnected triple-dot Aharanov-Bohm interferometer

Abstract

We propose and investigate a nonreciprocal performance of a triple-dot Aharonov-Bohm interferometer in the non-linear regime. We study the steady-state behavior of the nonequilibrium triple-dot Aharonov-Bohm (AB) interferometer using analytical tools and numerical simulations. Our simple setup includes noninteracting three quantum dots placed on the vertex of an equilateral triangle. Out of these three dots, two dots are coupled to two biased metallic leads at the same strength and the third one is connected with a probe that can mimics the elastic and inelastic scattering mechanisms. A magnetic flux Φ pierces the interferometer perpendicularly. We observe a magnetic-flux dependent current rectification induced by inelastic scattering by voltage probe in the nonlinear regime, but this rectification is absent in the linear regime. Our investigation reveals that the rectification for our 3-dots AB set up maximize when the inter-dot tunneling strength, t , matches with the hybridization strength, γ , between a dot and metallic lead. Downright, we can say that our study furnishes the working principles and rectification efficiency of a triple-dot AB interferometer. One can use this simple setup to design a nano-scale rectifier . • We demonstrate broken Onsager reciprocity relation in a triple dot Aharanov-Bohm interferometer model. • This exactly solvable model can unravel the interplay of quantum coherence and environmental decoherence effect.