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Conductance fluctuations and corrections to the localization length in two‐dimensional localized systems
Author(s) -
Prior J.,
Somoza A. M.,
Ortuño M.
Publication year - 2006
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200562726
Subject(s) - conductance , logarithm , physics , zero (linguistics) , condensed matter physics , distribution (mathematics) , limit (mathematics) , constant (computer programming) , moment (physics) , statistical physics , mathematics , mathematical analysis , quantum mechanics , linguistics , philosophy , computer science , programming language
We have studied numerically the average and the fluctuations of the conductance in two‐dimensional disordered non‐interacting systems in the localized regime. We have calculated the zero temperature conductance from the Green functions, which can be efficiently obtained propagating strip by strip. We have studied the finite size corrections to the average of the logarithm of the conductance and they turn out to be crucial in the numerical calculation of the localization length. We found that the third moment of the logarithm of the conductance ln g is proportional to 〈ln g 〉 for large systems. As the variance goes as 〈ln g 〉 2/3 , we conclude that the distribution of ln g does not tend to a log normal distribution, but to an asymmetric distribution that keeps a constant shape in the limit of large sizes. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)