Analytical results of the one-dimensional Hubbard model in the high-temperature limit - art. no. 195127

Citation
Ic. Charret et al., Analytical results of the one-dimensional Hubbard model in the high-temperature limit - art. no. 195127, PHYS REV B, 6419(19), 2001, pp. 5127
Citations number
28
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B
ISSN journal
01631829 → ACNP
Volume
6419
Issue
19
Year of publication
2001
Database
ISI
SICI code
0163-1829(20011115)6419:19<5127:AROTOH>2.0.ZU;2-X
Abstract
We investigate the grand potential of the one-dimensional Hubbard model in the high-temperature limit, calculating the coefficients of the high-temper ature expansion (beta -expansion) of this function up to order beta (4) by an alternative method. The results derived are analytical and do not involv e any perturbation expansion in the hopping constant, being valid for arbit rary density of electrons in the one-dimensional model. In the half-filled case, we compare our analytical results for the specific heat and the magne tic susceptibility, in the high-temperature limit, with the ones obtained b y Beni et al. [Phys. Rev. B 8, 3329 (1973)] and Takahashi's integral equati ons, showing that the latter result does not take into account the complete energy spectrum of the one-dimensional Hubbard model. The exact integral s olution by Juttner et al. [Nucl. Phys. B 522, 471 (1998)] is applied to the determination of the range of validity of our expansion in beta in the hal f-filled case, for several different values of U.