Thomas-Fermi theory of δ-doped semiconductor structures: Exact analytical results in the high-density limit
- 15 April 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 41 (12) , 8340-8344
- https://doi.org/10.1103/physrevb.41.8340
Abstract
The nonlinear Thomas-Fermi formulation of δ doping is proven to represent an exactly solvable model which is equivalent to the Hartree model in a wide range of doping densities. Analytical solutions to the eigenvalue problem of Schrödinger’s equation in the Thomas-Fermi field are proven to exist and to represent the exact solutions to the many-body inhomogeneous electron system in the limit of high densities.Keywords
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