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- W2021640259 abstract "AbstractWe analyze a Wannier–Mott exciton in which the electron is constrainedto move in a quantum ring andthe holemoves in another concentric quantum rings. We expandthe electron–hole interaction potential in terms of multipoles byassuming that both the electron andhole experience transverse harmonic connements in the and z directions, bothbeing in their respective transverse groundstates. For the resulting -dependent Schr3odinger equation we calculate thelowest exciton eigenenergies andeigenfunctions. c 2002 Elsevier Science B.V. All rights reserved.PACS: 73.20.Dx; 71.35.y; 71.20.NrKeywords: Excitons; Nanostructures; Semiconductors Electronic properties of low-dimensional structures with annular geometries are important since these sys-tems can exhibit a number of interesting properties, such as the Aharanov–Bohm eect, persistent currentsan quantum chaos. On the other hand, studies of excitons in conned systems are interesting due to thepossibilityofgrowinghighqualitynanostructureswithprescribedcongurations.Withinthespiritofstudyingexcitonsinnovelsystemsthatexhibitspatialseparationbetweenelectronandhole(suchtypeIIsemiconductorheterostructures), we investigate here from a theoretical point of view Wannier–Mott excitons in which theelectron (or hole) is connedwithin a one-dimensional quantum ring (1DQR) andthe hole (or electron) isconnedin another concentric 1DQR as shown in Fig. 1. To our knowledge, excitons in such congurationhavenotbeeninvestigatedbefore.Someanalogoussystemspresentingspatialseparationbetweenelectronandhole have been theoretically investigatedin quantum wells [1] parallel [2] andperpendicular quantum wires[3] andparallel quantum layers [4–6]." @default.
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- W2021640259 date "2002-02-01" @default.
- W2021640259 modified "2023-09-29" @default.
- W2021640259 title "Exciton formed by electron and hole separated in concentric quantum rings" @default.
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- W2021640259 doi "https://doi.org/10.1016/s1386-9477(01)00223-5" @default.
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