中国物理B ›› 2011, Vol. 20 ›› Issue (1): 17201-017201.doi: 10.1088/1674-1056/20/1/017201

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

Monte Carlo study of single-barrier structure based on exclusion model full counting statistics

陈华, 杜磊, 曲成立, 何亮, 陈文豪, 孙鹏   

  1. School of Technical Physics, Xidian University, Xi'an 710071, China
  • 收稿日期:2010-03-29 修回日期:2010-09-07 出版日期:2011-01-15 发布日期:2011-01-15

Monte Carlo study of single-barrier structure based on exclusion model full counting statistics

Chen Hua(陈华), Du Lei(杜磊), Qu Cheng-Li(曲成立), He Liang(何亮), Chen Wen-Hao(陈文豪), and Sun Peng(孙鹏)   

  1. School of Technical Physics, Xidian University, Xi'an 710071, China
  • Received:2010-03-29 Revised:2010-09-07 Online:2011-01-15 Published:2011-01-15

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摘要： Different from the usual full counting statistics theoretical work that focuses on the higher order cumulants computation by using cumulant generating function in electrical structures, Monte Carlo simulation of single-barrier structure is performed to obtain time series for two types of widely applicable exclusion models, counter-flows model, and tunnel model. With high-order spectrum analysis of Matlab, the validation of Monte Carlo methods is shown through the extracted first four cumulants from the time series, which are in agreement with those from cumulant generating function. After the comparison between the counter-flows model and the tunnel model in a single barrier structure, it is found that the essential difference between them consists in the strictly holding of Pauli principle in the former and in the statistical consideration of Pauli principle in the latter.

Abstract: Different from the usual full counting statistics theoretical work that focuses on the higher order cumulants computation by using cumulant generating function in electrical structures, Monte Carlo simulation of single-barrier structure is performed to obtain time series for two types of widely applicable exclusion models, counter-flows model, and tunnel model. With high-order spectrum analysis of Matlab, the validation of Monte Carlo methods is shown through the extracted first four cumulants from the time series, which are in agreement with those from cumulant generating function. After the comparison between the counter-flows model and the tunnel model in a single barrier structure, it is found that the essential difference between them consists in the strictly holding of Pauli principle in the former and in the statistical consideration of Pauli principle in the latter.

Key words: Monte Carlo simulation, higher order cumulant, exclusion model, full counting statistics

中图分类号:  (Theory of electronic transport; scattering mechanisms)

  • 72.10.-d
05.10.Ln (Monte Carlo methods)