Excitons and Two-dimensional Screening: Critical Screening Lengths

Details Excitons and Two-dimensional Screening: Critical Screening Lengths Excitons and Two-dimensional Screening: Critical Screening Lengths

2001-10-22

arxiv.org/abs/cond-mat/0110464v1

Physics

Condensed Matter

Materials Science

3 pages; OECS7 conference, Montpellier, France (September 3-7, 2001)

Scientific paper

A beautiful and intriguing relationship has recently been proposed to express the critical screening lengths associated with the apparition of new bound states for the two-dimensional statically screened Coulomb potential. Semiclassical quantum theory show that this relationship is unfortunately not strictly exact. These results are confirmed by a variational calculation, which provides upper bounds for the critical screening lengths in the case $l \geq 1$.

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