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Continuum bound states as surface states of a finite periodic system
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We discuss the relation between continuum bound states (CBSs) localized on a defect, and surface states of a finite periodic system. We model an experiment of Capasso et al. [F. Capasso, C. Sirtori, J. Faist, D. L. Sivco, S-N. G. Chu, and A. Y. Cho, Nature (London) 358, 565 (1992)] using the transfer-matrix method. We compute the rate for intrasubband transitions from the ground state to the CBS and derive a sum rule. Finally we show how to improve the confinement of a CBS while keeping the energy fixed.
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SPRUNG, Donald W. L., et al. Continuum bound states as surface states of a finite periodic system. Physical Review B. 2003. Vol. 67, num. 8, pags. 085318(1)-085318(11). ISSN 0163-1829. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/10527