Transmission through multiple nanoscale rings with Zeeman-split quantum dots

A nanoscale ring structure, typically referred to as an Aharonov-Bohm (AB) ring, with a quantum dot (QD) embedded in each arm serves a unit cell in a chain-like structure. The transmission through the device is presented as a function of the number of rings in the chain. Zeeman-splitting of the QD energy levels is also modeled and its effects are analyzed. Distinct transmission bands form as the ring number increases. Zeeman splitting causes the number of bands to double, and to cross and diverge as the magnitude of the Zeeman effect increases. I-V plots show a transition from semiconductor characteristics to ohmic properties as the Zeeman splitting approaches the nominal energy value of the QD's.