The Hubbard Model: A Computational Perspective

The Hubbard model is the simplest of interacting fermions on a lattice and similar importance to correlated electron physics as Ising statistical mechanics or fruit fly biomedical science. Despite its simplicity, exhibits an incredible wealth phases, phase transitions, exotic correlation phenomena. Although analytical methods have provided qualitative description in certain limits, numerical tools shown impressive progress achieving quantitative accurate results over past several years. This article gives introduction model, motivates common questions, illustrates that has been achieved recent years revealing various aspects model.