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Improved master equation approach to quantum transport: from Born to self-consistent Born approximation.
Jinshuang Jin1, Jun Li1, Yu Liu2
1Department of Physics, Hangzhou Normal University, Hangzhou 310036, China.
The Journal of Chemical Physics
|July 3, 2014
Summary
We present an improved master equation approach for quantum transport. This method accurately models noninteracting systems and predicts the nonequilibrium Kondo effect, offering richer dynamical information than other techniques.
Area of Science:
- Quantum transport phenomena
- Condensed matter physics
- Quantum mechanical systems
Background:
- Existing quantum transport models often rely on approximations like the second-order Born approximation.
- Accurate modeling of nonequilibrium phenomena, such as the Kondo effect, remains a challenge.
Purpose of the Study:
- To develop an improved master equation approach for quantum transport.
- To accurately capture quantum transport behavior beyond the second-order Born approximation.
- To enable efficient studies of complex quantum phenomena.
Main Methods:
- An improved master equation approach is proposed, modifying the tunneling self-energy diagram.
- The free Green's function is replaced by an effective reduced propagator under the Born approximation.
Main Results:
- The approach recovers exact results for quantum transport in noninteracting systems under arbitrary voltages.
- It successfully predicts the nonequilibrium Kondo effect.
- The method provides richer dynamical information compared to nonequilibrium Green's function techniques.
Conclusions:
- The improved master equation approach offers a powerful and efficient tool for studying quantum transport.
- This method enhances the understanding of nonequilibrium quantum phenomena like the Kondo effect.
- It facilitates more efficient investigations into shot noise and full counting statistics.
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