Impurity states in a thin slab of crystal

Y.C. Lee and D.L. Lin

Physica A: Statistical Mechanics and its Applications, 1979, vol. 98, issue 3, 545-554

Abstract: The energy levels of an impurity atom in a thin slab of crystal are calculated by the method of equivalent Hamiltonian, which includes potential barriers representing the surfaces. For slab thickness smaller than the Bohr radius of the impurity atom, the atom is found to behave like a two dimensional hydrogen atom when projected onto a plane parallel to the surfaces of the slab. Mathematically, the finite thickness of the slab is treated as a perturbation to the case of vanishing thickness. In the direction normal to the surfaces, the electron motion is dominated by the confinement within the potential well formed by the surface barriers rather than by the impurity ion. The energy levels themselves vary significantly with the position of the impurity relative to the surfaces, as demonstrated by a numerical example.

Date: 1979
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437179901523
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:98:y:1979:i:3:p:545-554

DOI: 10.1016/0378-4371(79)90152-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().