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Circuit theory for full counting statistics in multiterminal circuits
1Department of Applied Physics and Delft Institute of Microelectronics and Submicrontechnology, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands.
Physical Review Letters
|May 15, 2002
Summary
This study introduces a unified circuit theory for electron transfer, encompassing current, noise, and full statistics in mesoscopic systems. The novel approach simplifies analysis of complex current fluctuations in three-terminal circuits.
Area of Science:
- Condensed matter physics
- Quantum transport theory
Background:
- Electron transfer in mesoscopic systems involves complex current statistics.
- Existing theories may lack a unified framework for current, noise, and full statistics.
Purpose of the Study:
- To propose a unified, simple, and efficient theory for electron transfer statistics.
- To provide a new theoretical framework for analyzing mesoscopic transport phenomena.
Main Methods:
- Development of a circuit theory based on 2x2 matrices.
- Application of Keldysh Green functions for theoretical analysis.
- Illustration using current fluctuations in three-terminal circuits.
Main Results:
- A unified theoretical framework for electron current, noise, and full statistics.
- Demonstration of the theory's efficacy in analyzing mesoscopic systems.
- Insights into large current fluctuations in multi-terminal setups.
Conclusions:
- The proposed circuit theory offers a powerful and versatile tool for mesoscopic transport.
- This approach simplifies the study of electron transfer dynamics and statistics.
- The theory is applicable to understanding complex phenomena like large current fluctuations.