中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50519-050519.doi: 10.1088/1674-1056/19/5/050519

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Shot noise in electron transport through a double quantum dot: a master equation approach

游建强1, 林志恒2, 欧阳仕华3   

  1. (1)Department of Applied Physics, Hong Kong Polytechnic University, Hung Hom, Hong Kong, China; (2)Department of Physics and Surface Physics Laboratory (National Key Laboratory), Fudan University, Shanghai 200433, China; (3)Department of Physics and Surface Physics Laboratory (National Key Laboratory), Fudan University, Shanghai 200433, China;Department of Applied Physics, Hong Kong Polytechnic University, Hung Hom, Hong Kong, China
  • 收稿日期:2009-09-28 修回日期:2009-11-16 出版日期:2010-05-15 发布日期:2010-05-15
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant Nos.~2009CB929300 and 2006CB921205), the National Natural Science Foundation of China (Grant Nos.~10534060 and 0625416), and the Research Grant Council of Hong Kong SAR project (Grant No.~500908).

Shot noise in electron transport through a double quantum dot: a master equation approach

Ou-Yang Shi-Hua(欧阳仕华)a)b), Lam Chi-Hang(林志恒)b), and You Jian-Qiang(游建强)a)   

  1. a Department of Physics and Surface Physics Laboratory (National Key Laboratory), Fudan University, Shanghai 200433, China; b Department of Applied Physics, Hong Kong Polytechnic University, Hung Hom, Hong Kong, China
  • Received:2009-09-28 Revised:2009-11-16 Online:2010-05-15 Published:2010-05-15
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant Nos.~2009CB929300 and 2006CB921205), the National Natural Science Foundation of China (Grant Nos.~10534060 and 0625416), and the Research Grant Council of Hong Kong SAR project (Grant No.~500908).

摘要: We study shot noise in tunneling current through a double quantum dot connected to two electric leads. We derive two master equations in the occupation-state basis and the eigenstate basis to describe the electron dynamics. The approach based on the occupation-state basis, despite being widely used in many previous studies, is valid only when the interdot coupling strength is much smaller than the energy difference between the two dots. In contrast, the calculations using the eigenstate basis are valid for an arbitrary interdot coupling. Using realistic model parameters, we demonstrate that the predicted currents and shot-noise properties from the two approaches are significantly different when the interdot coupling is not small. Furthermore, properties of the shot noise predicted using the eigenstate basis successfully reproduce qualitative features found in a recent experiment.

Abstract: We study shot noise in tunneling current through a double quantum dot connected to two electric leads. We derive two master equations in the occupation-state basis and the eigenstate basis to describe the electron dynamics. The approach based on the occupation-state basis, despite being widely used in many previous studies, is valid only when the interdot coupling strength is much smaller than the energy difference between the two dots. In contrast, the calculations using the eigenstate basis are valid for an arbitrary interdot coupling. Using realistic model parameters, we demonstrate that the predicted currents and shot-noise properties from the two approaches are significantly different when the interdot coupling is not small. Furthermore, properties of the shot noise predicted using the eigenstate basis successfully reproduce qualitative features found in a recent experiment.

Key words: double quantum dot, master equation approach, shot noise in tunneling current

中图分类号:  (Quantum dots)

  • 73.63.Kv
72.70.+m (Noise processes and phenomena) 73.40.Gk (Tunneling) 72.10.-d (Theory of electronic transport; scattering mechanisms)