Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 025, 9 pages      cond-mat/0508282

Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells

Andrey A. Chernyuk and Volodymyr I. Sugakov
Institute for Nuclear Research of NAS of Ukraine, 47 Nauky Ave., Kyiv, 03680 Ukraine

Received November 10, 2005, in final form February 08, 2006; Published online February 23, 2006

A phenomenological theory of exciton condensation in conditions of inhomogeneous excitation is proposed. The theory is applied to the study of the development of an exciton luminescence ring and the ring fragmentation at macroscopical distances from the central excitation spot in coupled quantum wells. The transition between the fragmented and the continuous ring is considered. With assumption of a defect in the structure, a possibility of a localized island of the condensed phase in a fixed position is shown. Exciton density distribution is also analyzed in the case of two spatially separated spots of the laser excitation.

Key words: dissipative structures; exciton condensation; quantum wells.

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  1. Larionov A.V., Timofeev V.B., Condensation of interwell excitons in GaAs/AlGaAs double quantum wells, JETP Lett., 2001, V.73, N 6, 301-308.
  2. Butov L.V., Gossard A.C., Chemla D.S., Macroscopically ordered state in an exciton system, Nature, 2002, V.418, 751-754, cond-mat/0204482.
  3. Snoke D., Denev S., Liu Y., Pfeiffer L., West K., Long-range transport in excitonic dark states in coupled quantum wells, Nature, 2002, V.418, 754-757.
  4. Butov L.V., Exciton condensation in coupled quantum wells, Solid State Comm., 2003, V.127, 89-98.
  5. Snoke D., Denev S., Liu Y., Pfeiffer L., West K., Luminescence rings in quantum well structures, Solid State Comm., 2003, V.127, 187-196.
  6. Butov L.V., Levitov V.B., Mintsev A.V., Simons B.D., Gossard A.C., Chemla D.S., Formation mechanism and low-temperature instability of exciton rings, Phys. Rev. Lett., 2004, V.92, 117404, 4 pages, cond-mat/0308117.
  7. Rapaport R., Chen G., Snoke D., Simon S.H., Pfeiffer L., West K., Liu Y., Denev S., Moving beyond a simple model of luminescence rings in quantum well structures, Phys. Rev. Lett., 2004, V.92, 117405, 4 pages, cond-mat/0406141.
  8. Sugakov V.I., Formation of an order in a system of exciton condensed phase islands in quantum wells, Ukr. J. Phys., 2004, V.49, 1117-1121, cond-mat/0407398.
  9. Sugakov V.I., Islands of exciton condensed phases in a two dimensional system, the distribution of their sizes and coherence in position, Solid State Comm., 2005, V.134, 63-67.
  10. Lozovik Yu.E., Berman O.L., Phase transitions in the system of two bound quantum wells, JETP Lett., 1996, V.64, 526-531.
  11. Levitov L.S., Simons B.D., Butov L.V., Pattern formation in exciton system near quantum degeneracy, cond-mat/0503628.
  12. Sugakov V.I., Instabilities and self-organization phenomena in high density exciton systems, Phase Transitions, 2002, V.75, 953-960.
  13. Ivanov A.L., Smallwood L.E., Hammack A.T., Yang S., Butov L.V., Gossardet A.C., Origin of the inner ring in photoluminescence patterns of quantum well excitons, cond-mat/0509097.
  14. Nicolis G., Prigozhin I., Self-organization in non-equilibrium systems, New York, Wiley, 1977.

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