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

  • Mesoscopic and Nanoscale Systems
  • Published:
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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 (θC, 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.

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Authors and Affiliations

  1. and Department of Physics, Zhongshan University, State Key Laboratory of Optoelectronic Materials and Technologies, Guangzhou, 510275, P.R. China

    Y. Z. He & C. G. Bao

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  1. Y. Z. He
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  2. C. G. Bao
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Correspondence to C. G. Bao.

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He, Y., Bao, C. Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons. Eur. Phys. J. B 62, 465–470 (2008). https://doi.org/10.1140/epjb/e2008-00184-y

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  • DOI: https://doi.org/10.1140/epjb/e2008-00184-y

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