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

doi:10.1088/1674-1056/20/1/017201

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.

Keywords: Monte Carlo simulation higher order cumulant exclusion model full counting statistics

Received: 29 March 2010
Revised: 07 September 2010
Accepted manuscript online:

PACS:	72.10.-d	(Theory of electronic transport; scattering mechanisms)
	05.10.Ln	(Monte Carlo methods)

Cite this article:

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) Monte Carlo study of single-barrier structure based on exclusion model full counting statistics 2011 Chin. Phys. B 20 017201

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

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