{ "id": "cond-mat/0609214", "version": "v1", "published": "2006-09-09T06:26:43.000Z", "updated": "2006-09-09T06:26:43.000Z", "title": "Localized states in the continuum in low-dimensional systems", "authors": [ "Khee-Kyun Voo", "C. S. Chu" ], "comment": "7 pages, 4 figures. To appear in Phys. Rev. B", "doi": "10.1103/PhysRevB.74.155306", "categories": [ "cond-mat.mes-hall" ], "abstract": "It is shown in this paper that for open systems, states which are localized in space, discrete in energy, and embedded in the continuum of extended states, can be sustained by low-dimensional and channeled leads. These states have an origin different from that of analogous states discussed by J. von Neumann and E. Wigner [Phys. Z., vol. 30, 465 (1929)]. A few representative systems are discussed. These states cause, for example, infinitely sharp Fano resonance in transport when they are marginally destroyed.", "revisions": [ { "version": "v1", "updated": "2006-09-09T06:26:43.000Z" } ], "analyses": { "keywords": [ "low-dimensional systems", "localized states", "infinitely sharp fano resonance", "von neumann", "open systems" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }