THE NAGAOKA STATE AND ITS STABILITY IN THE ONE-BAND HUBBARD-MODEL

Citation
Sq. Shen et al., THE NAGAOKA STATE AND ITS STABILITY IN THE ONE-BAND HUBBARD-MODEL, Physics letters. A, 178(5-6), 1993, pp. 426-430
Citations number
9
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
178
Issue
5-6
Year of publication
1993
Pages
426 - 430
Database
ISI
SICI code
0375-9601(1993)178:5-6<426:TNSAIS>2.0.ZU;2-O
Abstract
In this article, we discuss the stability of the Nagaoka state with an infinite number of holes in the infinite-U Hubbard model. We shall ri gorously show that the Nagaoka state is stable if the total number of holes N(h) almost-equal-to N(LAMBDA)alpha with 0 less-than-or-equal-to alpha < 2/(d+2) as the number of lattice sites N(LAMBDA) tends to inf inity. Our theorem improves greatly the previous results obtained by B arbieri et al. [Phys. Rev. B 41 (1990) 11697] and by Tian [Phys. Rev. B 44 (1991) 4444].