We propose a new formalism to solve the Hubbard Hamiltonian. The Green functions of the many-body systems is obtained from a cumulant diagrammatic expansion. The undress propagator is taken to be the exact result for a small-size cluster obtained using the Lanczos method. The inter-cluster interaction is considered to be the perturbation Hamiltonian. In 1D we reproduce some of the known results. At half filling in 2D we obtain that the system suffers a metal-insulator transition as a function of U. For a finite coordinated Bethe lattice the density of states has a three-peak shape with an Abrikosov-Suhl resonance at the Fermi level. © 1998 Elsevier Science B.V. All rights reserved.
Documento: | Artículo |
Título: | Metal-insulator transition in highly correlated systems |
Autor: | Büsser, C.; Anda, E.V.; Urba, L.; Ferrari, V.; Chiappe, G. |
Filiación: | Departamento de Física, Pont. Univ. Catol. do Rio de Janeiro, C.P. 38071, 22452-970, Rio de Janeiro, R.J., Brazil Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina |
Palabras clave: | Cumulant expansion; Highly correlated electrons; Phase transitions - metal-nonmetal; Crystal lattices; Electrons; Fermi level; Green's function; Mathematical models; Metal insulator boundaries; Numerical methods; Perturbation techniques; Phase transitions; Abrikosov-Syhl resonance; Bethe lattice; Hubbard Hamiltonian; Lanczos method; Metal insulator transition; One dimensional; Two dimensional; Magnetization |
Año: | 1998 |
Volumen: | 177-181 |
Número: | PART 1 |
Página de inicio: | 311 |
Página de fin: | 312 |
DOI: | http://dx.doi.org/10.1016/S0304-8853(97)00995-5 |
Título revista: | Journal of Magnetism and Magnetic Materials |
Título revista abreviado: | J Magn Magn Mater |
ISSN: | 03048853 |
CODEN: | JMMMD |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03048853_v177-181_nPART1_p311_Busser |