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Continuum Bound States as surface states

D. W. L. Sprung·P. Jagiello·J. Sigetich·J. Martorell
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Abstract

We discuss the relation between continuum bound states (CBS) localized on a defect, and surface states of a finite periodic system. We use the transfer matrix method to model an experiment of Capasso, and find all continuum bound and anti-bound states. We compute the rate for intra-subband 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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D. W. L. Sprung, P. Jagiello, J. Sigetich, J. Martorell. 2001-10-05. Continuum Bound States as surface states. https://arxiv.org/abs/cond-mat/0110116

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