Show simple item record

dc.contributor.authorDowning, C.A.
dc.contributor.authorPortnoi, M.E.
dc.date.accessioned2015-01-05T14:54:55Z
dc.date.issued2014
dc.description.abstractWe investigate the one-dimensional Coulomb potential with application to a class of quasirelativistic systems, so-called Dirac-Weyl materials, described by matrix Hamiltonians. We obtain the exact solution of the shifted and truncated Coulomb problems, with the wave functions expressed in terms of special functions (namely, Whittaker functions), while the energy spectrum must be determined via solutions to transcendental equations. Most notably, there are critical band gaps below which certain low-lying quantum states are missing in a manifestation of atomic collapse.en_GB
dc.description.sponsorshipEPSRC (Engineering and Physical Sciences Research Council)en_GB
dc.description.sponsorshipEU FP7 ITN NOTEDEVen_GB
dc.description.sponsorshipFP7 IRSES project: CANTORen_GB
dc.description.sponsorshipFP7 IRSES project: QOCaNen_GB
dc.description.sponsorshipFP7 IRSES project: InterNoMen_GB
dc.identifier.citationVol. 90 (5), article 052116en_GB
dc.identifier.doi10.1103/PhysRevA.90.052116
dc.identifier.grantnumberFP7-607521en_GB
dc.identifier.grantnumberFP7-612285en_GB
dc.identifier.grantnumberFP7-316432en_GB
dc.identifier.grantnumberFP7-612624en_GB
dc.identifier.urihttp://hdl.handle.net/10871/16119
dc.language.isoenen_GB
dc.publisherAmerican Physical Societyen_GB
dc.relation.urlhttp://dx.doi.org/10.1103/PhysRevA.90.052116en_GB
dc.titleOne-dimensional Coulomb problem in Dirac materialsen_GB
dc.typeArticleen_GB
dc.date.available2015-01-05T14:54:55Z
dc.identifier.issn1050-2947
dc.descriptionCopyright © 2014 American Physical Societyen_GB
dc.identifier.eissn1094-1622
dc.identifier.journalPhysical Review A - Atomic, Molecular, and Optical Physicsen_GB


Files in this item

This item appears in the following Collection(s)

Show simple item record