Continuum Bound States as surface states

Details Continuum Bound States as surface states Continuum Bound States as surface states

2001-10-05

arxiv.org/abs/cond-mat/0110116v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 tables, 13 figures, 19 pages in all

Scientific paper

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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