Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction

doi:10.1088/1674-1056/23/8/087308

中国物理B ›› 2014, Vol. 23 ›› Issue (8): 87308-087308.doi: 10.1088/1674-1056/23/8/087308

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction

郭小芳^a, 薛海斌^b, 梁九卿^a

a Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China;
b College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China

收稿日期:2014-01-20 修回日期:2014-03-31 出版日期:2014-08-15 发布日期:2014-08-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11075099. 11204203, and 11275118).

Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction

Guo Xiao-Fang (郭小芳)^a, Xue Hai-Bin (薛海斌)^b, Liang Jiu-Qing (梁九卿)^a

a Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China;
b College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2014-01-20 Revised:2014-03-31 Online:2014-08-15 Published:2014-08-15
Contact: Xue Hai-Bin, Liang Jiu-Qing E-mail:xuehaibin@tyut.edu.cn;jqliang@sxu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11075099. 11204203, and 11275118).

摘要/Abstract

摘要： The full counting statistics of electron transport through two parallel quantum dots with antiparallel magnetic fluxes is investigated as a probe to detect the topological quantum-phase coherence (TQPC), which results in the characteristic oscillation of the zero-frequency cumulants including the shot noise and skewness. We show explicitly the phase transition of cumulant spectrum-patterns induced by the topology change of electron path-loops while the pattern period, which depends only on the topology (or Chern number), is robust against the variation of Coulomb interaction and interdot coupling strengths. Most importantly we report for the first time on a new type of TQPC, which is generated by the two-particle interaction and does not exist in the single-particle wave function interference. Moreover, the accurately quantized peaks of Fano-factor spectrum, which characterize the super- and sub-Poissonian shot noises, are of fundamental importance in technical applications similar to the superconducting quantum interference device.

关键词: topological quantum-phase coherence, full counting statistics, two-body interaction

Abstract: The full counting statistics of electron transport through two parallel quantum dots with antiparallel magnetic fluxes is investigated as a probe to detect the topological quantum-phase coherence (TQPC), which results in the characteristic oscillation of the zero-frequency cumulants including the shot noise and skewness. We show explicitly the phase transition of cumulant spectrum-patterns induced by the topology change of electron path-loops while the pattern period, which depends only on the topology (or Chern number), is robust against the variation of Coulomb interaction and interdot coupling strengths. Most importantly we report for the first time on a new type of TQPC, which is generated by the two-particle interaction and does not exist in the single-particle wave function interference. Moreover, the accurately quantized peaks of Fano-factor spectrum, which characterize the super- and sub-Poissonian shot noises, are of fundamental importance in technical applications similar to the superconducting quantum interference device.

Key words: topological quantum-phase coherence, full counting statistics, two-body interaction

中图分类号: (Electronic transport in mesoscopic systems)

73.23.-b

03.65.Vf (Phases: geometric; dynamic or topological) 05.60.Gg (Quantum transport) 71.10.Pm (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))

郭小芳, 薛海斌, 梁九卿. Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction[J]. 中国物理B, 2014, 23(8): 87308-087308.

Guo Xiao-Fang (郭小芳), Xue Hai-Bin (薛海斌), Liang Jiu-Qing (梁九卿). Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction[J]. Chin. Phys. B, 2014, 23(8): 87308-087308.

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Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction

Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction

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