QUANTUM OSCILLATION IN MULTIPLY CONNECTED MESOSCOPIC RINGS AT FINITE-TEMPERATURE

Quantum oscillation in serially connected one-dimensional rings is studied and the transmission coefficient of these multiply connected rings is derived. The transmission probability is calculated as a function of incident-electron energy. The relations between the number of connected rings and resonance peaks (minibands) in the quantum oscillation are predicted and demonstrated analytically and numerically. The temperature dependence of conductance in the system is also studied. With the magnetostatic Aharonov-Bohm (AB) effect of multiply connected rings, the oscillation amplitude is almost constant when the temperature is kept constant, regardless of the number of connected rings. In contrast, we found that with electrostatic AB effects, the oscillation amplitude decays as a function of electrostatic potential at a finite temperature. We predict that the degree of decay will continue to decrease as the number of connected rings increases.