Electron transport through complex ultra-thin wired networks

We have made the first attempt at investigating electron transmission through a network involving complex loops. When two Aharonov-Bohm rings are brought together to form a complex network, the anti-bonding picture allows the electron to circulate only on the small loop and the bonding picture allows the electron to circulate on the large combined loop. When an electron spreads a part of the wave in the bonding picture and a part of the wave in the anti-bonding picture, the splitting of the wave causes the electron to behave like a "fractional" charge. Similar to the fractional Hall effect, this fractional charge is manifested in the flux periodicity from the two applied fluxes in the loops and is thus experimentally observable. The transmission behavior through reducible and irreducible double Aharonov-Bohm loops is presented. The applications of this new electron-wave computing method by a quantum resister network is a possible new direction for future computing technology