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Scaling Relations And The Role Of Bond-Charge To The Electron Transmission Through Two Coupled Aharonov-Bohm Rings, Cheng-Hsiao Wu, Lam C. Tran, C. A. Cain
Scaling Relations And The Role Of Bond-Charge To The Electron Transmission Through Two Coupled Aharonov-Bohm Rings, Cheng-Hsiao Wu, Lam C. Tran, C. A. Cain
Electrical and Computer Engineering Faculty Research & Creative Works
Electron transport and the exact scaling relations for two irreducibly coupled Aharonov-Bohm (AB) rings with two external terminals attached are investigated. In coupled AB rings, a center common path exists where the phase of the electron wave function can be modulated by two applied fluxes simultaneously. The two coupled rings can be considered as two coupled atoms where Fermi level crossings exist not only between bonding states but also between bonding and anti-bonding states when the applied flux is varied in one of the two cases studied. We show that when the smallest atomic-sized coupled rings are scaled up any …