2001
DOI: 10.1103/physrevb.63.125334
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Ground state and far-infrared absorption of two-electron rings in a magnetic field

Abstract: Motivated by recent experiments [A. Lorke et al., Phys. Rev. Lett. 84, 2223] an analysis of the ground state and far-infrared absorption of two electrons confined in a quantum ring is presented. The height of the repulsive central barrier in the confining potential is shown to influence in an important way the ring properties. The experiments are best explained assuming the presence of both high-and low-barrier quantum rings in the sample. The formation of a two-electron Wigner molecule in certain cases is di… Show more

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Cited by 31 publications
(33 citation statements)
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“…Realistic models have been drawn taking into account the true 3D confinement geometry, 23,24 and additional refinements such as strain 25,26 and piezoelectric fields 25 or valence band mixing contributions. 27 This notwithstanding, several authors 12,19,21,[28][29][30] have achieved considerable success catching only the overall ring potential geometry with 2D paraboliclike models, but at the expense of some fitting of the model-dependent parameters to the experimental data.…”
Section: Introductionmentioning
confidence: 99%
“…Realistic models have been drawn taking into account the true 3D confinement geometry, 23,24 and additional refinements such as strain 25,26 and piezoelectric fields 25 or valence band mixing contributions. 27 This notwithstanding, several authors 12,19,21,[28][29][30] have achieved considerable success catching only the overall ring potential geometry with 2D paraboliclike models, but at the expense of some fitting of the model-dependent parameters to the experimental data.…”
Section: Introductionmentioning
confidence: 99%
“…The high sensitivity of the ''Ϫ'' edge modes to the ring morphology might help to shed light onto the actual structure of the ring inner edge. 19 We recall that the experimental nanoscopic rings 3 have been fabricated from InAs self-assembled dots grown on GaAs covered by a thin layer of GaAs by an annealing process.…”
Section: Raman Spectramentioning
confidence: 99%
“…5,6 In nanoscopic rings quantum effects are important and for this reason theoretical studies at a more microscopic level have been undertaken. [7][8][9][10][11][12][13][14][15][16][17][18][19] In some of these calculations a major emphasis has been put on describing the Aharonov-Bohm ͑AB͒ quantum effect which manifests in the presence of an external magnetic field ͑B͒ as the existence of a persistent current, and leads to periodic oscillations in the energy spectrum and the persistent current as a function of B. These AB oscillations have been observed in mesoscopic rings in a GaAlAs/GaAs heterostructure by measuring the conductance across the ring.…”
Section: Introductionmentioning
confidence: 99%
“…26 The solution of the Schrödinger equation for two electrons in a quantum ring with a circularly symmetric nonparabolic confinement potential was obtained in Ref. 27 by discretizing the coordinate space in a uniform grid of points. The height of the repulsive central barrier in the confining potential is shown to significantly influence the ring properties.…”
Section: Introductionmentioning
confidence: 99%