The Hubbard Model: A Computational Perspective

By M. Qin, T. Schafer, S. Andergassen, Philippe Corboz, Emanuel Gull. Annual Review of Condensed Matter Physics, 2021

437 citations recorded by the source corpus.

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. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 13 is March 2022. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/1fff7e34313f49d93d07c4421db178a2cbd1b10d

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In Atomic and Molecular Physics, and Optics

  1. S. Raghu
  2. Steven A. Kivelson
  3. Erez Berg
  4. D. Arovas
  5. Nathan Goldman
  6. Alexander B. Khanikaev
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In Condensed Matter Physics

  1. S. Raghu
  2. Steven A. Kivelson
  3. Erez Berg
  4. D. Arovas

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