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Charge Screening in an Electron Gas of Arbitrary Degeneracy
Author(s) -
Alfred L. C. R.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220820207
Subject(s) - degeneracy (biology) , fermi gas , degenerate energy levels , physics , electron , charge (physics) , gaussian , quantum mechanics , condensed matter physics , field (mathematics) , exponential function , quantum electrodynamics , mathematical physics , mathematics , mathematical analysis , pure mathematics , bioinformatics , biology
Utilizing the dielectric response formulation, analytic expressions are obtained for the screening field around a localized point charge in a non‐interacting Fermi‐Dirac electron gas of arbitrary degeneracy. Screening field features suggested by the analytic forms are discussed. In the non‐degenerate case, the field is a modified Brooks‐Herring one; the predominant form of the screening factor is inverse exponential with a transition to Gaussian in the range k B Tr 2 ≪1.