Determination of the diffusion constant in disordered mesoscopic Au rings from the temperature dependence of the current
A simple calculation to determine the diffusion constant D for electrons in disorder mesoscopic Au rings from the temperature dependence of the current obtained by Chandrasekhar et al. (1991) [1] gives larger D than the diffusion constant D′ obtained from Einstein's relation via resistance meas...
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Published in: | Solid state communications 2017-04, Vol.255-256, p.38-41 |
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Main Author: | |
Format: | Article |
Language: | English |
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Online Access: | Get full text |
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Summary: | A simple calculation to determine the diffusion constant D for electrons in disorder mesoscopic Au rings from the temperature dependence of the current obtained by Chandrasekhar et al. (1991) [1] gives larger D than the diffusion constant D′ obtained from Einstein's relation via resistance measurements. In addition, the curve-fitting function employed by them does not agree well with the temperature-dependent data below 10mK. Using a more precise calculation based on the quasi-particle picture, we show that the discrepancy between the fitting function and the experimental data below 10mK is reduced and that a newly obtained D is close to D′. The method proposed here is very simple to determine the diffusion constant in a small closed loop via the curve-fitting of the temperature-dependent data, which needs no resistance measurements for the use of Einstein's relation.
•The diffusion constant is obtained from the temperature dependence of the current.•A modified data-fitting function gives a better diffusion constant.•The method can be used to determine the diffusion constant in a closed-loop system. |
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ISSN: | 0038-1098 1879-2766 |
DOI: | 10.1016/j.ssc.2017.03.008 |