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Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons

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Listed:
  • Y. Z. He
  • C. G. Bao

Abstract

When a circular ring suffers a special topological transformation, it becomes a two-layer ring. Due to the special topology of the two-layer ring, orbital angular momenta are allowed to be a half-integer. This would affect the traditional Aharonov-Bohm oscillation (ABO). In this paper, the fractional ABO (FABO) of the ground state energy, persistent current and dipole transition of a two-layer ring with two electrons has been studied. Collective and internal coordinates (θ C , ϕ) have been introduced. Based on them, a very simple formula for the current has been obtained, the symmetry constraint imposed on the dipole transition has been clarified and a strict relation between the photon energies of the dipole radiation and the persistent current of the ground state has been found. Comparing with the one-layer ring, the period of the fractional ABO of the two-layer ring becomes much shorter. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • Y. Z. He & C. G. Bao, 2008. "Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(4), pages 465-470, April.
    • Handle: RePEc:spr:eurphb:v:62:y:2008:i:4:p:465-470
    DOI: 10.1140/epjb/e2008-00184-y
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