dc.contributor.author | Vignale, Giovanni, 1957- | eng |
dc.date.issued | 1995 | eng |
dc.description | URL:http://link.aps.org/doi/10.1103/PhysRevB.51.2612
DOI:10.1103/PhysRevB.51.2612 | eng |
dc.description.abstract | It is shown that the absolute value of the persistent current in a system with toroidal geometry is rigorously less than or equal to eħNα/4πmr02, where N is the number of electrons, r0-2= 〈ri-2〉 is the equilibrium average of the inverse of the square of the distance of an electron from an axis threading the torus, and α≤1 is a positive constant, related to the azimuthal dependence of the density. This result is valid in three and two dimensions for arbitrary interactions, impurity potentials, and magnetic fields. | eng |
dc.description.sponsorship | This work has been supported by NSF Grants Nos. DMR-9100988 and DMR-9403908. | eng |
dc.identifier.citation | Phys. Rev. B 51, 2612-2615 (1995) | eng |
dc.identifier.issn | 1098-0121 | eng |
dc.identifier.uri | http://hdl.handle.net/10355/7982 | 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 | localization effects | eng |
dc.subject.lcsh | Scattering (Physics) | eng |
dc.subject.lcsh | Transport theory | eng |
dc.title | Rigorous upper bound for the persistent current in systems with toroidal geometry | eng |
dc.type | Article | eng |