2004
DOI: 10.1016/j.physe.2003.08.076
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Abstract: Theoretical approaches to one-dimensional and quasi-one-dimensional quantum rings with a few electrons are reviewed. Discrete Hubbard-type models and continuum models are shown to give similar results governed by the special features of the one-dimensionality. The energy spectrum of the many-body states can be described by a rotation-vibration spectrum of a 'Wigner molecule' of 'localized' electrons, combined with the spin-state determined from an effective antiferromagnetic Heisenberg Hamiltonian. The persist… Show more

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Cited by 232 publications
(247 citation statements)
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“…[24]. In the case of bosons, the early work was related to the research of macroscopic systems of 4 He [25,26], while lately several studies of persistent currents in toroidal traps of bosonic atoms have been reported [27][28][29][30][31][32].…”
Section: Persistent Currentsmentioning
confidence: 99%
See 1 more Smart Citation
“…[24]. In the case of bosons, the early work was related to the research of macroscopic systems of 4 He [25,26], while lately several studies of persistent currents in toroidal traps of bosonic atoms have been reported [27][28][29][30][31][32].…”
Section: Persistent Currentsmentioning
confidence: 99%
“…In both cases, the current is a periodic function of the flux through the ring, but depending on the number of particles, the periodicity can have a different phase for fermions and bosons. In the case of a zero flux, the lowest-energy state for any number of bosons has zero angular momentum, while for an odd number of spinless fermions, the lowest-energy state has a finite angular momentum (L = N/2) [24,32], resulting in a finite current with an infinitesimal flux.…”
Section: Persistent Currentsmentioning
confidence: 99%
“…which were done using the configuration interaction method 16 show that the yrast line of excitations is always well separated from high excited states in small rings. Therefore in that case our general prescription for the pulse sequence to target compact states will not be affected by the presence of Coulomb interaction.…”
Section: -2mentioning
confidence: 99%
“…[2][3][4][5] The first experimental evidence of Aharonov-Bohm oscillations was found in metallic 6,7 and semiconductor 8 rings in the mesoscopic regime. In recent years, the fabrication and the investigation of In x Ga 1−x As self-assembled quantum rings ͑SAQRs͒ have been rapidly progressing and led to a large number of experimental [9][10][11][12][13][14] and theoretical [15][16][17][18] studies.…”
Section: Introductionmentioning
confidence: 99%