Ground states and flux configurations of the two-dimensional Falicov-Kimball model

被引：40

作者：

Gruber, C ^{[1
]}

Macris, N ^{[1
]}

Messager, A ^{[1
]}

Ueltschi, D ^{[1
]}

机构：

[1] CNRS MARSEILLE LUMINY, CTR PHYS THEOR, CNRS, F-13288 MARSEILLE 9, FRANCE

来源：

JOURNAL OF STATISTICAL PHYSICS | 1997年 / 86卷 / 1-2期

关键词：

Falicov-Kimball model; hardcore bosons; flux phase; triangular lattice;

D O I：

10.1007/BF02180199

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Falicov-Kimball model is a lattice model of itinerant spinless fermions (''electrons'') interacting by an on-site potential with classical particles (''ions''). We continue the investigations of the crystalline ground states that appear for various filling of electrons and ions for large coupling. We investigate the model for square as well as triangular lattices. New ground states are found and the effects of a magnetic flux on the structure of the phase diagram are studied. The nux phase problem where one has to find the optimal flux configurations and the nuclei configurations is also solved in some cases. Finally we consider a model where the fermions are replaced by hardcore: bosons. This model also has crystalline ground states. Therefore their existence does not require the Pauli principle, but only the on-site hard-core constraint for the itinerant particles.

引用

页码：57 / 108

页数：52

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