GROUND-STATE OF THE U=INFINITY HUBBARD-MODEL WITH INFINITE-RANGE HOPPING

Citation
Ja. Verges et al., GROUND-STATE OF THE U=INFINITY HUBBARD-MODEL WITH INFINITE-RANGE HOPPING, Physical review. B, Condensed matter, 49(21), 1994, pp. 15400-15403
Citations number
11
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
49
Issue
21
Year of publication
1994
Pages
15400 - 15403
Database
ISI
SICI code
0163-1829(1994)49:21<15400:GOTUHW>2.0.ZU;2-C
Abstract
The ground-state wave function and energy of the Hubbard model with un limited hopping can be obtained for arbitrary fillings using the trans formation recently introduced by Brandt and Giesekus. A simple linear behavior is obtained for the ground-state energy dependence on the num ber of particles: E(GS) = -2t(L - N), where -t is the hopping energy ( t > 0), L is the number of sites, and N is the number of electrons. Th e ground state shows a very large total spin degeneracy. The system is shown to behave as a Fermi liquid with a spectral weight Z = 1 - N/L for all fillings less than 1 (N less-than-or-equal-to L).