Renormalised perturbative series for the impurity levels in a quantum well

Details Renormalised perturbative series for the impurity levels in a quantum well Renormalised perturbative series for the impurity levels in a quantum well

1997-01-28

arxiv.org/abs/cond-mat/9701205v1

Int. J. Mod. Phys. B 11 (1997) 3469-77

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages. LaTeX. 3 figures not included

Scientific paper

10.1142/S0217979297001726

The energy levels of an impurity center in a deep quantum well of width L and depth g are studied analytically . Renormalised perturbative series are constructed in the regions g L^ << 1 and g L^2 >> 1. Maximal binding energy and wave function deformation to a quasi-twodimensional function are found to occur at a certain L_c satisfying sqrt{g} L_c ~ 1. Similar results may be obtained for the impurity in a quantum wire, in a dot or in a multiwell structure.

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