Bound on the group velocity of an electron in a one-dimensional periodic potential

dc.contributor.author	Geller, Michael R.	eng
dc.contributor.author	Vignale, Giovanni, 1957-	eng
dc.date.issued	1995	eng
dc.description	URL:http://link.aps.org/doi/10.1103/PhysRevB.51.2616 DOI:10.1103/PhysRevB.51.2616	eng
dc.description.abstract	By using a recently derived upper bound on the allowed equilibrium current in a ring, it is proved that the magnitude of the group velocity of a Bloch electron in a one- dimensional periodic potential is always less than or equal to the group velocity of the same Bloch state in an empty lattice. Our inequality also implies that each energy band in a one-dimensional crystal always lies below the corresponding free-electron band, when the minima of those bands are aligned.	eng
dc.description.sponsorship	This work was supported by the National Science Foundation through Grant Nos. DMR-9100988 and PHY89-04035.	eng
dc.identifier.citation	Phys. Rev. B 51, 2616-2617 (1995)	eng
dc.identifier.issn	1098-0121	eng
dc.identifier.uri	http://hdl.handle.net/10355/7981	eng
dc.language	English	eng
dc.publisher	American Physical Society	eng
dc.relation.ispartofcollection	University of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publications	eng
dc.subject.lcsh	Transport theory	eng
dc.title	Bound on the group velocity of an electron in a one-dimensional periodic potential	eng
dc.type	Article	eng

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