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Spectral Density Method for the Spinless Fermion Model
Author(s) -
Ihle D.,
Lorenz B.
Publication year - 1981
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.2221050215
Subject(s) - fermion , physics , coulomb , excitation , spectrum (functional analysis) , random phase approximation , spectral density , quantum electrodynamics , particle (ecology) , spectral line , quantum mechanics , energy spectrum , condensed matter physics , atomic physics , electron , mathematics , statistics , oceanography , geology
A self‐consistent approximation scheme for the spectral densities of the one‐dimensional spinless fermion model is developed, where the one‐particle spectral density fulfils the first four moments. At T = 0 the one‐particle excitation spectrum is calculated in dependence on the Coulomb and band energy parameters. The exact results for the atomic and band limits and the gas—liquid like phase transition are reproduced.