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Energies and fermi level of electrons in thin size‐quantized metal films
Author(s) -
Sculte F. K.
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.2220790115
Subject(s) - electron , condensed matter physics , fermi energy , fermi gamma ray space telescope , lattice constant , fermi level , physics , metal , bounding overwatch , lattice (music) , dirichlet boundary condition , boundary value problem , quantum mechanics , materials science , diffraction , artificial intelligence , computer science , acoustics , metallurgy
Abstract The energies and the Fermi levels of electrons in thin size‐quantized metal films are investigated. Frequently a model with a constant potential is used and it is demanded that the wave functions or their derivatives vanish on planes parallel to the film surfaces. The position of these planes relative to the ion lattice is determined from the condition that the Fermi energy does not include a term inversely proportional to the film thickness. A comparison with numerical results of a fully self‐consistent calculation reveals that the results for the case that the wave functions vanish on the bounding planes (Dirichlet boundary conditions) form a satisfactory approximation.