中国物理B ›› 2002, Vol. 11 ›› Issue (7): 720-724.doi: 10.1088/1009-1963/11/7/314

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Shapiro effect in mesoscopic LC circuit

嵇英华, 罗海梅, 欧阳楚英, 雷敏生   

  1. Department of Physics, Jiangxi Normal University, Nanchang 330027, China
  • 收稿日期:2002-01-02 修回日期:2002-02-28 出版日期:2002-07-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the Natural Science Foundation of Jiangxi Province, China (Grant No 001004).

Shapiro effect in mesoscopic LC circuit

Ji Ying-Hua (嵇英华), Luo Hai-Mei (罗海梅), Ouyang Chu-Ying (欧阳楚英), Lei Min-Sheng (雷敏生)   

  1. Department of Physics, Jiangxi Normal University, Nanchang 330027, China
  • Received:2002-01-02 Revised:2002-02-28 Online:2002-07-12 Published:2005-06-12
  • Supported by:
    Project supported by the Natural Science Foundation of Jiangxi Province, China (Grant No 001004).

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摘要： In this paper we consider the movement of an electron in the single electron tunnel process through a mesoscopic capacitor. The results show that, due to the Coulomb force, there is a threshold voltage Vt in the mesoscopic LC circuit. When the external voltage is lower than the threshold voltage, the tunnel current value is zero, and the Coulomb blockade phenomenon arises. Furthermore, considering that the mesoscopic dimension is comparable to the coherence length in which charge carriers retain the phase remembrance, a weak coupling can be produced through the proximity effect of the normal metal electrons of both electrodes of a mesoscopic capacitor. By varying the external voltage, we can observe the Shapiro current step on the current－voltage characteristic curve of a mesoscopic LC circuit.

Abstract: In this paper we consider the movement of an electron in the single electron tunnel process through a mesoscopic capacitor. The results show that, due to the Coulomb force, there is a threshold voltage Vt in the mesoscopic LC circuit. When the external voltage is lower than the threshold voltage, the tunnel current value is zero, and the Coulomb blockade phenomenon arises. Furthermore, considering that the mesoscopic dimension is comparable to the coherence length in which charge carriers retain the phase remembrance, a weak coupling can be produced through the proximity effect of the normal metal electrons of both electrodes of a mesoscopic capacitor. By varying the external voltage, we can observe the Shapiro current step on the current－voltage characteristic curve of a mesoscopic LC circuit.

Key words: mesoscopic LC circuit, Coulomb blockade, single electron tunnelling effect, Shapiro current step

中图分类号:  (Coulomb blockade; single-electron tunneling)

  • 73.23.Hk
74.50.+r (Tunneling phenomena; Josephson effects)