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The phase of Fano resonance in Aharonov–Bohm interferometer with a quantum dot embedded
Institution:1. Departamento de Física, Universidad Nacional de Colombia, AA 055051 Bogotá, Colombia;2. Programa de Física, Universidad Surcolombiana, AA 385 Neiva, Colombia;3. Programa de Física, Universidad del Quindío, AA 630004 Armenia, Colombia;1. Institute of Modern Optics, School of Physics, Harbin Institute of Technology, Harbin, 150001, China;2. Key Laboratory of Micro-Optics and Photonics Technology of Heilongjiang Province, Harbin, 150001, China;3. Key Laboratory of Micro-Nano Optoelectronic Information System, Ministry of Industry and Information Technology, Harbin, 150001, China;1. School of Electronics Information Engineering, Tianjin Key Lab. of Film Electronic & Communication Devices, Engineering Research Center of Communication Devices and Technology, Ministry of Education, Tianjin University of Technology, Tianjin 300384, PR China;2. College of Precision Instrument and Opto-electronics Engineering, Institute of Laser and Opto-electronics, Key Laboratory of Opto-electric Information Science and Technology, Ministry of Education, Tianjin University, Tianjin 300072, PR China
Abstract:We study the Fano effect of a closed Aharonov–Bohm mesoscopic interferometer, with a quantum dot embedded in one of the paths, in the presence of dephasing which is introduced by the Büttiker model. An exact analytic formula of conductance including dephasing factor is derived and can be written as an extended Fano form with a complex Fano parameter q. While the total conductance is unitary, the coherent part has broken unitarity due to dephasing, and thus has continuous phase shift. Our results agree with recent experimental measurements.
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