On the Validity of the Dynamical Mean-Field Approximation for Studying the Two-Dimensional Hubbard Model on a Square Lattice
Joint Authors
Source
Advances in Condensed Matter Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-15
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The dynamical mean-field approximation (DMFA) becomes exact in the limit of infinite dimensions, and allows results to be obtained in a nonperturbative regime without the limitations normally found with exact diagonalization (ED) and quantum Monte Carlo (QMC) methods.
In this paper, we investigate the applicability of the method to lattices with small coordination number in special situations.
Specifically we use this approximation to study the two-dimensional (2D) Hubbard model on a square lattice far from half filling.
In this situation, we calculate the specific heat and find that when the filling decreases, that is, antiferromagnetic correlations become less important, the agreement between DMFA and QMC results increases.
Our results show that the DMFA can be a valuable technique for studying the thermodynamic properties of the Hubbard model also on a square lattice, but within a parameter range in which the antiferromagnetic correlations are not important.
American Psychological Association (APA)
Ribeiro, A. N.& Macedo, C. A.. 2010. On the Validity of the Dynamical Mean-Field Approximation for Studying the Two-Dimensional Hubbard Model on a Square Lattice. Advances in Condensed Matter Physics،Vol. 2010, no. 2010, pp.1-5.
https://search.emarefa.net/detail/BIM-475573
Modern Language Association (MLA)
Ribeiro, A. N.& Macedo, C. A.. On the Validity of the Dynamical Mean-Field Approximation for Studying the Two-Dimensional Hubbard Model on a Square Lattice. Advances in Condensed Matter Physics No. 2010 (2010), pp.1-5.
https://search.emarefa.net/detail/BIM-475573
American Medical Association (AMA)
Ribeiro, A. N.& Macedo, C. A.. On the Validity of the Dynamical Mean-Field Approximation for Studying the Two-Dimensional Hubbard Model on a Square Lattice. Advances in Condensed Matter Physics. 2010. Vol. 2010, no. 2010, pp.1-5.
https://search.emarefa.net/detail/BIM-475573
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475573