Abstract
The magnetic flux dependence of the superconducting state evolution for mesoscopic two-band noncircular loops is studied by numerically solving the generalized Bogoliubov-de Gennes equations self-consistently. The crossover from hc / e- to hc/2e-flux periodicity of the current can be controlled by increasing the interband coupling strength or the temperature. For sufficiently small interband coupling, the order parameters of the two bands may exhibit different winding numbers in narrow flux ranges. Moreover, different patterns of flux-tuned quantum phase transitions between the superconducting state and the resistive/normal state, which are strongly sensitive to the temperature and the strength of the pairing interaction as well as the loop geometry, are demonstrated in the present two-band samples. Similar coherent phenomena are expected for the superconducting multi-layer or effectively multi-band systems.
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