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Phys. Rev. Lett. 90, 046801 (2003) [4 pages]

Nonlinear Screening in Two-Dimensional Electron Gases

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E. Zaremba1,2, I. Nagy3,2, and P. M. Echenique4
1Department of Physics, Queen’s University, Kingston, Ontario, Canada K7L 3N6
2Donostia International Physics Center, Paseo Manuel de Lardizabal, No. 4, 20018 San Sebastian, Spain
3Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, H-1521 Budapest, Hungary
4Departamento de Fisica de Materiales and Centro Mixto Fisica Materiales CSIC/UPV, Facultad de Quimica, Universidad del Pais Vasco, Apartado 1072, San Sebastian, Spain

Received 19 August 2002; published 28 January 2003

We have performed self-consistent calculations of the nonlinear screening of a point charge Z in a two-dimensional electron gas using a density functional theory method. We find that the screened potential for a Z=1 charge supports a bound state even in the high-density limit where one might expect perturbation theory to apply. To explain this behavior, we prove a theorem to show that the results of linear response theory are in fact correct even though bound states exist.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.046801
DOI:
10.1103/PhysRevLett.90.046801
PACS:
73.20.Hb, 71.15.Mb