Eur. Phys. J. B 62, 465-470 (2008)
https://doi.org/10.1140/epjb/e2008-00184-y

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

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

Corresponding authors: ^a heyanzh@mail.sysu.edu.cn - ^b stsbcg@mail.sysu.edu.cn

Received: 20 December 2007
Revised: 13 April 2008
Published online: 16 May 2008

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.