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dc.contributor.authorD'Amico, Ireneeng
dc.contributor.authorVignale, Giovanni, 1957-eng
dc.date.issued1999eng
dc.descriptionURL:http://link.aps.org/doi/10.1103/PhysRevB.60.2084 DOI:10.1103/PhysRevB.60.2084eng
dc.description.abstractWe make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two- dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with the following simplifying assumptions: (i) The system is macroscopically homogeneous and isotropic in the half-plane delimited by the edge. (ii) The electron-electron interaction is of finite range due to screening by external electrodes. (iii) The system is nearly incompressible. At sufficiently small wave vector q we find a universal dispersion curve ω∼q independent of the shear modulus. At larger wave vectors the dispersion can change its form in a manner dependent on the comparison of various length scales. We obtain analytical formulas for the dispersion and damping of the modes in various physical regimes.eng
dc.description.sponsorshipThis work was supported by NSF Grant No. DMR- 9706788. G.V. gratefully acknowledges the hospitality of the Institute for Theoretical Physics at the University of California, Santa Barbara, under NSF Grant No. PHY94- 07194, where part of this work was done.eng
dc.identifier.citationPhys. Rev. B 60, 2084-2092 (1999)eng
dc.identifier.issn1098-0121eng
dc.identifier.urihttp://hdl.handle.net/10355/7937eng
dc.languageEnglisheng
dc.publisherAmerican Physical Societyeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publicationseng
dc.subjecttunnelingeng
dc.subject.lcshCollective excitationseng
dc.subject.lcshElectron transporteng
dc.subject.lcshMesoscopic phenomena (Physics)eng
dc.subject.lcshTunneling (Physics)eng
dc.titleContinuum elasticity theory of edge waves in a two-dimensional electron liquid with finite-range interactionseng
dc.typeArticleeng


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