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Localized states in the continuum in low-dimensional systems

Khee-Kyun Voo, C. S. Chu

Published 2006-09-09Version 1

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.

Comments: 7 pages, 4 figures. To appear in Phys. Rev. B
Categories: cond-mat.mes-hall
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