Carrier dynamics in a ring, landauer resistance and localization in a periodic system

We lay the connection between the carrier dynamics in a small ID loop driven by a time-dependent flux and stationary quantum tunneling through a ID periodic structure between two reservoirs. It is explicitly shown that the phenomenon of dynamical quasi-randomization of phases in the loop, which lead...

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Bibliographic Details
Published in:Physica A 1990-01, Vol.162 (3), p.405-413
Main Authors: Lenstra, Daan, Van Haeringen, Willem, Smokers, Richard T.M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Transport processes
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Summary:We lay the connection between the carrier dynamics in a small ID loop driven by a time-dependent flux and stationary quantum tunneling through a ID periodic structure between two reservoirs. It is explicitly shown that the phenomenon of dynamical quasi-randomization of phases in the loop, which leads, among other things, to current saturation behaviour, is physically equivalent to the phenomenon of field-induced quasi-disorder in the periodic structure between reservoirs. In both cases the respective types of disorder lead to apparent localization effects on the resistance. A new and independent confirmation of Landauer's R/T formula is obtained.
ISSN:0378-4371
1873-2119
DOI:10.1016/0378-4371(90)90425-R