统计物理学
伊辛模型
赫巴德模型
物理
统计力学
理论物理学
简单
透视图(图形)
费米子
格子(音乐)
计算机科学
量子力学
人工智能
声学
超导电性
作者
Mingpu Qin,Thomas Schäfer,Sabine Andergassen,Philippe Corboz,Emanuel Gull
标识
DOI:10.1146/annurev-conmatphys-090921-033948
摘要
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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