Recent Progress in Lattice Density Functional Theory
| Autor: | Tobias S. Müller, W. Töws, Gustavo M. Pastor |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
hubbard model
General Computer Science Hubbard model approximation methods 02 engineering and technology Electron Lattice density functional theory 01 natural sciences lcsh:QA75.5-76.95 Theoretical Computer Science Theoretical physics Lattice (order) 0103 physical sciences strong correlations 010306 general physics Anderson impurity model density functional theory Physics Applied Mathematics many-body models 021001 nanoscience & nanotechnology Universality (dynamical systems) Modeling and Simulation Computer Science::Programming Languages anderson model Density functional theory lcsh:Electronic computers. Computer science 0210 nano-technology |
| Zdroj: | Computation, Vol 7, Iss 4, p 66 (2019) |
| ISSN: | 2079-3197 |
| DOI: | 10.3390/computation7040066 |
| Popis: | Recent developments in the density-functional theory of electron correlations in many-body lattice models are reviewed. The theoretical framework of lattice density-functional theory (LDFT) is briefly recalled, giving emphasis to its universality and to the central role played by the single-particle density-matrix γ . The Hubbard model and the Anderson single-impurity model are considered as relevant explicit problems for the applications. Real-space and reciprocal-space approximations to the fundamental interaction-energy functional W [ γ ] are introduced, in the framework of which the most important ground-state properties are derived. The predictions of LDFT are contrasted with available exact analytical results and state-of-the-art numerical calculations. Thus, the goals and limitations of the method are discussed. |
| Databáze: | OpenAIRE |
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