Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms

By J. LeBlanc. 2016

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The physics of quantum materials (2017, unknown): “Even the simplest model designed to capture the essence of this transition—the two-dimensional Hubbard model—has thus far defied a general solution by any analytical or numerical method, even though tremendous progress has been made in elucidating its phase behaviour 49 .”
Practical quantum advantage in quantum simulation (2022, background): “Although in one dimension the Hubbard model is exactly solvable 112 , in two dimensions it has been a long-term challenge to find even the lowest-energy states of this model, although a lot of recent progress has been made 40,41 .”