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The slater model and the metal–insulator transition
Author(s) -
Sanders J.
Publication year - 1971
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.2220470139
Subject(s) - diagrammatic reasoning , hamiltonian (control theory) , hubbard model , physics , statistical physics , metal–insulator transition , condensed matter physics , theoretical physics , quantum mechanics , computer science , mathematics , mathematical optimization , superconductivity , electrical resistivity and conductivity , programming language
A diagrammatic approach is used to show that the Slater model cannot describe an insulator. To obtain insulation, one has to assume that the energy gap is larger than the bandwidth. It is shown that this assumption implies that important perturbation diagrams are neglected. The analysis is based on the Hubbard Hamiltonian.