Pumping of energy into a mesoscopic ring: Exactly solvable model

Автор(и)

  • L. Gorelik Department of Applied Physics, Chalmers University of Technology and Goteborg University, S-412 96 Goteborg, Sweden
  • S. Kulinich,R. I. Shekhter Department of Applied Physics, Chalmers University of Technology and Goteborg University, S-412 96 Goteborg, Sweden
  • M. Jonson Department of Applied Physics, Chalmers University of Technology and Goteborg University, S-412 96 Goteborg, Sweden
  • L. Gorelik B. Verkin Institute for Low Temperature Physics and Engineering, 310164 Kharkov, Ukraine
  • S. Kulinich B. Verkin Institute for Low Temperature Physics and Engineering, 310164 Kharkov, Ukraine
  • Yu. Galperin Departrment of Physics, University of Oslo, P.O. Box 1048 Blindern 0316 Oslo, Norway and A. F. Ioffe Institute, 194021 St. Petersburg, Russia

DOI:

https://doi.org/10.1063/1.593523

Ключові слова:

PACS: 73.40.-c, 73.20.Dx

Анотація

We consider the energy stored in a one-dimensional ballistic ring with a barrier subjected to a linearly time-dependent magnetic flux. An exact analytical solution for the quantum dynamics of electrons in the ring is found for the case when the electromotive force multiplied by the electron charge, ee, is much smaller than the interlevel spacing,D. Electron states exponentially localized in energy space are found for irrational values of the dimensionless ratio AºD/2ee. Relaxation limits the dynamic evolution and the localization does not develop if A is sufficiently close to a rational number. As a result the accumulated energy becomes a regular function of A containing a set of sharp peaks at rational values with small enough denominators (fractional pumping). The shape of the peaks and the distances between them are governed by the interplay between the strength of backscattering and the relaxation rate.

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Опубліковано

1998-12-10

Як цитувати

(1)
Gorelik, L.; Shekhter, S. K. I.; Jonson, M.; Gorelik, L.; Kulinich, S.; Galperin, Y. Pumping of Energy into a Mesoscopic Ring: Exactly Solvable Model. Fiz. Nizk. Temp. 1998, 24, 1181-1191.

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