A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit

doi:10.1088/1674-1056/19/12/127201

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 127201-127201.doi: 10.1088/1674-1056/19/12/127201

A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit

朱瑞

Department of Physics, South China University of Technology, Guangzhou 510641, China

收稿日期:2010-02-26 修回日期:2010-05-15 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11004063), the Fundamental Research Funds for the Central Universities (Grant No. 2009ZM0299), the Natural Science Foundation of South China University of Technology (Grant No. x2lxE5090410), and the Graduate Course Construction Project of South China University of Technology (Grant No. yjzk2009001).

A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit

Zhu Rui(朱瑞)$†ger$

Department of Physics, South China University of Technology, Guangzhou 510641, China

Received:2010-02-26 Revised:2010-05-15 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11004063), the Fundamental Research Funds for the Central Universities (Grant No. 2009ZM0299), the Natural Science Foundation of South China University of Technology (Grant No. x2lxE5090410), and the Graduate Course Construction Project of South China University of Technology (Grant No. yjzk2009001).

摘要/Abstract

摘要： In the adiabatic and weak-modulation quantum pump, net electron flow is driven from one reservoir to another by absorbing or emitting an energy quantum hω from or to the reservoirs. This paper considers high-order dependence of the scattering matrix on the time. Non-sinusoidal behaviour of strong pumping is revealed. The relation between the pumped current and the ac driving amplitude varies from power of 2, 1 to 1/2 when stronger modulation is exerted. Open experimental observation can be interpreted by multi-energy-quantum-related processes.

Abstract: In the adiabatic and weak-modulation quantum pump, net electron flow is driven from one reservoir to another by absorbing or emitting an energy quantum $\hbar\omega$ from or to the reservoirs. This paper considers high-order dependence of the scattering matrix on the time. Non-sinusoidal behaviour of strong pumping is revealed. The relation between the pumped current and the ac driving amplitude varies from power of 2, 1 to 1/2 when stronger modulation is exerted. Open experimental observation can be interpreted by multi-energy-quantum-related processes.

Key words: quantum pumping, scattering matrix approach, multi-energy-quantum-related processes

中图分类号: (General formulation of transport theory)

72.10.Bg

朱瑞. A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit[J]. 中国物理B, 2010, 19(12): 127201-127201.

Zhu Rui(朱瑞)$†ger$. A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit[J]. Chin. Phys. B, 2010, 19(12): 127201-127201.

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A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit

A scattering matrix approach to quantum pumping: beyond the small-AC-driving-amplitude limit

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