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

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  • Lenstra, Daan
  • Van Haeringen, Willem
  • Smokers, Richard T.M.

Abstract

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.

Suggested Citation

  • Lenstra, Daan & Van Haeringen, Willem & Smokers, Richard T.M., 1990. "Carrier dynamics in a ring, landauer resistance and localization in a periodic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 405-413.
    • Handle: RePEc:eee:phsmap:v:162:y:1990:i:3:p:405-413
    DOI: 10.1016/0378-4371(90)90425-R
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    References listed on IDEAS

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    1. Rausser, Gordon C. & Perloff, Jeffrey M & Zusman, Pinhas, 1985. "The food marketing system: the relevance of economic efficiency measures," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt7361f847, Department of Agricultural & Resource Economics, UC Berkeley.
    2. Caldeira, Gregory A., 1987. "Public Opinion and the U.S. Supreme Court: FDR's Court-packing Plan," American Political Science Review, Cambridge University Press, vol. 81(4), pages 1139-1153, December.
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