Composite fermion-boson mapping for fermionic lattice models

被引：4

作者：

Zhao, J. ^{[1
]}

Jimenez-Hoyos, C. A. ^{[1
]}

Scuseria, G. E. ^{[1
,2
]}

Huerga, D. ^{[3
]}

Dukelsky, J. ^{[3
]}

Rombouts, S. M. A. ^{[4
]}

Ortiz, G. ^{[5
]}

机构：

[1] Rice Univ, Dept Chem, Houston, TX 77005 USA

[2] Rice Univ, Dept Phys & Astron, Houston, TX 77005 USA

[3] CSIC, Inst Estruct Mat, E-28006 Madrid, Spain

[4] Univ Huelva, Dept Fis Aplicada, E-21071 Huelva, Spain

[5] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 2014年 / 26卷 / 45期

关键词：

cluster mapping; Hubbard model; slave particles; 2-DIMENSIONAL HUBBARD-MODEL; SUPERCONDUCTIVITY; SYSTEMS; ABSENCE;

D O I：

10.1088/0953-8984/26/45/455601

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic cluster operators. The mapping is an exact isomorphism as long as the physical constraint of one composite particle per cluster is satisfied. This condition is treated on average in a composite particle mean-field approach, which consists of an ansatz that decouples the composite fermionic and bosonic sectors. The theory is tested on the 1D and 2D Hubbard models. Using a Bogoliubov determinant for the composite fermions and either a coherent or Bogoliubov state for the bosons, we obtain a simple and accurate procedure for treating the Mott insulating phase of the Hubbard model with mean-field computational cost.

引用

页数：8

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