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Dynamical Electrical Conductivity, Dielectric Function, and Plasma Oscillations of the Hubbard Model
Author(s) -
Gasser W.
Publication year - 1978
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.2220870122
Subject(s) - decoupling (probability) , hubbard model , dispersion relation , condensed matter physics , plasmon , conductivity , electrical resistivity and conductivity , physics , dielectric function , wavenumber , dielectric , dispersion (optics) , plasma , quantum electrodynamics , kubo formula , quantum mechanics , superconductivity , control engineering , engineering
Expressions are derived for the longitudinal dynamical conductivity, the dielectric function and the plasmon dispersion relation for the Hubbard model using approximations which are mainly based on the Hubbard‐I decoupling scheme for Green functions. In the limit of zero wave numbers a result is confirmed for the dc conductivity got by Kubo but later criticized by Lawson and Smith. The plasmon dispersion relation is determined up to the second order in the wave number.