Fano Resonance Through Quantum Dots in Tunable Aharonov-Bohm Rings

Stimulated by recent intriguing experiments with a quantum dot in an Aharonov-Bohm (AB) ring, we investigate novel resonant phenomena by studying the total transmission probability of nanoscale AB rings with an embedded scattering center in one arm and a magnetic flux passing through its center. In the AB ring with double coupled-quantum dots (QDs), we show that the overlapping of Fano resonances arises from the strong interaction between two quasi-bound levels in the coupled QDs, and that the zero of the Fano resonance is shifted to the complex plane. In addition, we also study the effects of an asymmetry in the arm by inserting an attractive potential well (dot) in one arm. The combined transmission resonance effects as functions of variables of the ring structure and the potential are presented. It is shown that an attractive potential in one of the arms in the AB ring generates an asymmetric Fano resonance in the transmission.