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Updated: Sep 13, 2025
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Published on: August 2, 2019
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Quantum resistor-capacitor circuit with two Majorana bound states
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.
Summary
This study analyzes quantum dots coupled with Majorana bound states (MBSs). The phase difference of MBSs dictates system behavior, affecting relaxation resistance and conductance.
Area of Science:
- Condensed Matter Physics
- Quantum Computing
Background:
- Quantum dots are semiconductor nanostructures with tunable electronic properties.
- Majorana bound states (MBSs) are exotic quasiparticles with potential applications in topological quantum computing.
Purpose of the Study:
- To investigate the transport properties of a quantum dot coupled to normal leads and MBSs.
- To analyze the influence of MBS phase difference on linear conductance, capacitance, and relaxation resistance.
Main Methods:
- Derivation of equations of motion using the auxiliary-mode expansion method.
- Application of the nonequilibrium Green function technique for system analysis.
Main Results:
- Complete suppression of linear relaxation resistance when MBS phase difference is an integer multiple of pi, indicating MBSs enter zero mode.
- Full suppression of linear conductance when MBS phase difference is not an integer multiple of pi.
- Linear relaxation resistance remains suppressed and system loses sensitivity to MBS modes when MBSs are not in zero mode.
Conclusions:
- The phase difference of MBSs critically controls the transport characteristics of the coupled system.
- The system exhibits distinct behaviors based on MBS phase, with implications for topological quantum information processing.
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