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The Hubbard model: A computational perspective
- Source :
- Annual Review of Condensed Matter Physics, Vol. 13, pp 275-302 (March 2022)
- Publication Year :
- 2021
-
Abstract
- The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar importance to correlated electron physics as the Ising model is to statistical mechanics or the fruit fly to biomedical science. Despite its simplicity, the model exhibits an incredible wealth of phases, phase transitions, and exotic correlation phenomena. While analytical methods have provided a qualitative description of the model in certain limits, numerical tools have shown impressive progress in achieving quantitative accurate results over the last years. This article gives an introduction to the model, motivates common questions, and illustrates the progress that has been achieved over the last years in revealing various aspects of the correlation physics of the model.<br />Comment: Submitted to Annual Reviews, Comments are welcome
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Subjects
Details
- Database :
- arXiv
- Journal :
- Annual Review of Condensed Matter Physics, Vol. 13, pp 275-302 (March 2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2104.00064
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1146/annurev-conmatphys-090921-033948