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dc.contributor.authorBoyacıoğlu, B.en_US
dc.contributor.authorSağlam, M.en_US
dc.contributor.authorChatterjee, Ashoken_US
dc.coverage.spatialCambridge, UKen_US
dc.date.accessioned2016-02-08T11:43:51Zen_US
dc.date.available2016-02-08T11:43:51Zen_US
dc.date.issued2007en_US
dc.identifier.issn0953-8984en_US
dc.identifier.urihttp://hdl.handle.net/11693/27083en_US
dc.descriptionDate of Conference: 9-11 July 2007en_US
dc.descriptionConference Name: International Conference on Nanoscale Order in Amorphous and Partially Ordered Solids, 2007en_US
dc.description.abstractThe problem of two electrons in a three-dimensional quantum dot with Gaussian confinement is investigated for the singlet pairing by a variational method with a very simple wavefunction containing only a single parameter and a Jastrow-like factor, which is shown to yield fairly good results for deep confining potentials. The calculation is also performed for a few realistic semiconductor quantum dots and the phase diagrams for the two-electron singlet states are obtained for these materials. The pair density function is calculated for several parameter values and its peak positions are obtained as a function of the confinement length and the depth of the potential to study the behaviour of the electron-pair size. The size of the bound pair of electrons is also obtained by directly calculating the average distance between the two electrons in three different ways and compared with the pair correlation results. It is furthermore shown that, other properties remaining the same, the two-electron energy and the electron-pair size depend crucially on the effective electronic mass and the dielectric constant of the material. Finally, the ways of improving the wavefunction are also indicated.en_US
dc.language.isoEnglishen_US
dc.source.titleJournal of Physics: Condensed Matteren_US
dc.relation.isversionofhttp://dx.doi.org/10.1088/0953-8984/19/45/456217en_US
dc.subjectElectronsen_US
dc.subjectPermittivityen_US
dc.subjectThree dimensionalen_US
dc.subjectWave functionsen_US
dc.subjectElectron-pair sizeen_US
dc.subjectGaussian confinementen_US
dc.subjectJastrow-like factoren_US
dc.subjectPair density functionen_US
dc.subjectSingle-parameter variational calculationen_US
dc.subjectSinglet pairingen_US
dc.subjectSemiconductor quantum dotsen_US
dc.titleTwo-electron singlet states in semiconductor quantum dots with Gaussian confinement: a single-parameter variational calculationen_US
dc.typeConference Paperen_US
dc.departmentDepartment of Physicsen_US
dc.citation.spage1en_US
dc.citation.epage18en_US
dc.citation.volumeNumber19en_US
dc.citation.issueNumber45en_US
dc.identifier.doi10.1088/0953-8984/19/45/456217en_US
dc.publisherIOPen_US


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