Bound states of two particles confined to parallel two-dimensional layers and interacting via dipole-dipole or dipole-charge laws

V. I. Yudson, M. G. Rozman, and P. Reineker
Phys. Rev. B 55, 5214 – Published 15 February 1997
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Abstract

The problem of a bound state of two particles confined to parallel two-dimensional layers and interacting via dipole-dipole or dipole-charge laws arises in connection with the study of bound states of charge-transfer excitons at parallel interfaces or biexcitons and charged exciton complexes in double quantum wells. Binding energies of the dipole-charge and the dipole-dipole complexes are calculated as functions of the corresponding coupling constants. It is shown that for the dipole-charge interaction the bound state exists at an arbitrary small coupling constant, though the binding energy decreases dramatically when the coupling constant falls below some critical value. On the contrary, it is shown for the dipole-dipole interaction that the bound state exists only when the coupling constant exceeds a critical value.

  • Received 19 September 1996

DOI:https://doi.org/10.1103/PhysRevB.55.5214

©1997 American Physical Society

Authors & Affiliations

V. I. Yudson

  • Abteilung Theoretische Physik, Universität Ulm, 89069 Ulm, Germany
  • and Institute of Spectroscopy, Russian Academy of Science, Troitzk 142092, Moscow reg., Russia

M. G. Rozman

  • Institute of Physics, Riia 142, EE2400 Tartu, Estonia

P. Reineker

  • Abteilung Theoretische Physik, Universität Ulm, 89069 Ulm, Germany

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Vol. 55, Iss. 8 — 15 February 1997

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