期刊
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS
卷 13, 期 -, 页码 275-302出版社
ANNUAL REVIEWS
DOI: 10.1146/annurev-conmatphys-090921-033948
关键词
quantum many-body theory; model Hamiltonians; strongly correlated electron systems
资金
- NSF [DMR 2001465]
- Simons Collaboration on the Many-Electron Problem
- Deutsche Forschungsgemeinschaft (DFG) [AN 815/6-1]
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program [677061]
The Hubbard model, as the simplest model of interacting fermions on a lattice, exhibits a wealth of phases, phase transitions, and exotic correlation phenomena. In recent years, numerical tools have made impressive progress in achieving quantitative accurate results, offering deeper insights into the correlation physics of the model.
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. Although 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 past several years. This article gives an introduction to the model, motivates common questions, and illustrates the progress that has been achieved over recent years in revealing various aspects of the correlation physics of the model.
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