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dc.contributor.authorPortnoi, M.E.en_GB
dc.contributor.authorGalbraith, I.en_GB
dc.date.accessioned2013-01-08T16:40:28Zen_GB
dc.date.accessioned2013-03-20T13:02:41Z
dc.date.issued1998en_GB
dc.description.abstractWe consider scattering state contributions to the partition function of a two-dimensional (2D) plasma in addition to the bound-state sum. A partition function continuity requirement is used to provide a statistical mechanical heuristic proof of Levinson’s theorem in two dimensions. We show that a proper account of scattering eliminates singularities in thermodynamic properties of the nonideal 2D gas caused by the emergence of additional bound states as the strength of an attractive potential is increased. The bound-state contribution to the partition function of the 2D gas, with a weak short-range attraction between its particles, is found to vanish logarithmically as the binding energy decreases. A consistent treatment of bound and scattering states in a screened Coulomb potential allowed us to calculate the quantum-mechanical second virial coefficient of the dilute 2D electron-hole plasma and to establish the difference between the nearly ideal electron-hole gas in GaAs and the strongly correlated exciton/free-carrier plasma in wide-gap semiconductors such as ZnSe or GaN.en_GB
dc.identifier.citationVol. 58 (7), pp. 3963 - 3968en_GB
dc.identifier.doi10.1103/PhysRevB.58.3963en_GB
dc.identifier.urihttp://hdl.handle.net/10036/4136en_GB
dc.language.isoenen_GB
dc.publisherAmerican Physical Societyen_GB
dc.relation.urlhttp://dx.doi.org/10.1103/PhysRevB.58.3963en_GB
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevB.58.3963en_GB
dc.titleLevinson's theorem and scattering phase-shift contributions to the partition function of interacting gases in two dimensionsen_GB
dc.typeArticleen_GB
dc.date.available2013-01-08T16:40:28Zen_GB
dc.date.available2013-03-20T13:02:41Z
dc.identifier.issn1098-0121en_GB
dc.descriptionCopyright © 1998 The American Physical Societyen_GB
dc.identifier.eissn1550-235Xen_GB
dc.identifier.journalPhysical Review B - Condensed Matter and Materials Physicsen_GB


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