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Annual Review of Condensed Matter Physics

Volume 13, 2022

The Hubbard Model: A Computational Perspective

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. 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.

Keyword(s): model Hamiltonians, quantum many-body theory, strongly correlated electron systems
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2022-03-10
2024-04-23
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The Hubbard Model: A Computational Perspective
Annual Review of Condensed Matter Physics 13, 275 (2022); https://doi.org/10.1146/annurev-conmatphys-090921-033948
/content/journals/10.1146/annurev-conmatphys-090921-033948
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