Understanding excitons using spherical geometry
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Using spherical geometry, we introduce a novel model to study excitons confined in a three-dimensional space, which offers unparalleled mathematical simplicity while retaining much of the key physics. This new model consists of an exciton trapped on the 3-sphere (i.e. the surface of a four-dimensional ball), and provides a unified treatment of Frenkel and Wannier-Mott excitons. Moreover, we show that one can determine, for particular values of the dielectric constant ε, the closed-form...[Show more]
dc.contributor.author | Loos, Pierre-Francois | |
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dc.date.accessioned | 2015-12-10T23:06:53Z | |
dc.identifier.issn | 0375-9601 | |
dc.identifier.uri | http://hdl.handle.net/1885/62849 | |
dc.description.abstract | Using spherical geometry, we introduce a novel model to study excitons confined in a three-dimensional space, which offers unparalleled mathematical simplicity while retaining much of the key physics. This new model consists of an exciton trapped on the 3-sphere (i.e. the surface of a four-dimensional ball), and provides a unified treatment of Frenkel and Wannier-Mott excitons. Moreover, we show that one can determine, for particular values of the dielectric constant ε, the closed-form expression of the exact wave function. We use the exact wave function of the lowest bound state for ε=2 to introduce an intermediate regime which gives satisfactory agreement with the exact results for a wide range of ε values. | |
dc.publisher | Elsevier | |
dc.source | Physics Letters A | |
dc.subject | Keywords: Exact solution; Exciton; Frenkel exciton; Spherical geometry; Wannier-Mott exciton | |
dc.title | Understanding excitons using spherical geometry | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 376 | |
dc.date.issued | 2012 | |
local.identifier.absfor | 030701 - Quantum Chemistry | |
local.identifier.ariespublication | U4217927xPUB743 | |
local.type.status | Published Version | |
local.contributor.affiliation | Loos, Pierre-Francois, College of Physical and Mathematical Sciences, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 26-27 | |
local.bibliographicCitation.startpage | 1997 | |
local.bibliographicCitation.lastpage | 2000 | |
local.identifier.doi | 10.1016/j.physleta.2012.05.010 | |
local.identifier.absseo | 970103 - Expanding Knowledge in the Chemical Sciences | |
dc.date.updated | 2016-02-24T10:45:06Z | |
local.identifier.scopusID | 2-s2.0-84861190390 | |
local.identifier.thomsonID | 000304789700008 | |
Collections | ANU Research Publications |
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