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https://ri.ufs.br/jspui/handle/riufs/21801| Document Type: | Artigo |
| Title: | On the validity of the dynamical mean-field approximation for studying the two-dimensional Hubbard model on a square lattice |
| Authors: | Ribeiro, André Neves Macedo, Cláudio Andrade |
| Issue Date: | 2010 |
| Resumo : | The dynamical mean-field approximation (DMFA) becomes exact in the limit of infinite dimensions, and allows results to beobtained 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 coordinationnumber in special situations. Specifically we use this approximation to study the two-dimensional (2D) Hubbard model on asquare lattice far from half filling. In this situation, we calculate the specific heat and find that when the filling decreases, thatis, antiferromagnetic correlations become less important, the agreement between DMFA and QMC results increases. Our resultsshow that the DMFA can be a valuable technique for studying the thermodynamic properties of the Hubbard model also on asquare lattice, but within a parameter range in which the antiferromagnetic correlations are not important. |
| Keywords: | Dynamical mean-field approximation (DMFA) Hubbard model Quantum Monte Carlo (QMC) |
| ISSN: | 1687-8108 1687-8124 |
| Is part of: | Advances in Condensed Matter Physics |
| Language: | eng |
| Publisher / Institution : | Hindawi Publishing Corporation |
| Citation: | 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, v. 2010, n. 1, 2010. Disponível em: https://onlinelibrary.wiley.com/doi/epdf/10.1155/2010/487381. Acesso em: 16 abr. 2025. |
| License: | Creative Commons Atribuição 3.0 Não Adaptada (CC BY 3.0) |
| URI: | https://ri.ufs.br/jspui/handle/riufs/21801 |
| Appears in Collections: | DFI - Artigos de periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| DynamicalMeanFieldApproximation.pdf | 315,56 kB | Adobe PDF |  View/Open |
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