Quantum resistor-capacitor circuit with two Majorana bound states
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Published on: August 2, 2019
1Key Laboratory of Artificial Structures and Quantum Control (Ministry of Education), Department of Physics and Astronomy, Shanghai Jiaotong University, 800 Dongchuan Road, Shanghai 200240, People's Republic of China.
Abstract:
In this paper, we derive the equations of motion for a system composed of a spinless quantum dot coupled to two normal leads and two Majorana bound states (MBSs), utilizing the auxiliary-mode expansion method and the nonequilibrium Green function technique. Subsequently, we use these equations to analyze the linear conductance, adiabatic linear capacitance, and adiabatic linear relaxation resistance of the system. We find that when the phase difference between the two MBSs is an integer multiple ofπ, the MBSs enter the zero mode, leading to the complete suppression of the linear relaxation resistance. In this case, the relaxation resistance is highly sensitive to the MBSs modes. On the other hand, when the phase difference is not an integer multiple ofπ, the linear conductance is fully suppressed. Furthermore, the linear relaxation resistance remains completely suppressed, even when the MBSs are not in the zero mode, and the system loses its sensitivity to the MBSs modes.
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