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Numerical Studies of the 2D Hubbard Model

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arxiv cond-mat/0610710 v1 pith:C47BICHH submitted 2006-10-25 cond-mat.str-el

D. J. Scalapino This is my paper · ORCID
classification cond-mat.str-el
keywords modelnumericalstudieshubbardpairingseenadditionantiferromagnetic
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Numerical studies of the two-dimensional Hubbard model have shown that it exhibits the basic phenomena seen in the cuprate materials. At half-filling one finds an antiferromagnetic Mott-Hubbard groundstate. When it is doped, a pseudogap appears and at low temperature d-wave pairing and striped states are seen. In addition, there is a delicate balance between these various phases. Here we review evidence for this and then discuss what numerical studies tell us about the structure of the interaction which is responsible for pairing in this model.

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Cited by 3 Pith papers

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  1. Antiferromagnetism and Tightly Bound Cooper Pairs Induced by Kinetic Frustration

    cond-mat.str-el 2025-06 conditional novelty 7.0 of 10

    Kinetic frustration from t2 hopping makes holes in a square-lattice t-J model bind into small d-wave pairs inside a dynamically stabilized antiferromagnetic background.

  2. Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins

    cond-mat.str-el 2019-09 conditional novelty 6.0 of 10

    A connected-vertex strong-coupling diagrammatic Monte Carlo treats local interactions exactly and matches NLCE results for the infinite-U Hubbard model up to hopping order nine.

  3. Optimization dynamics of Transformer backflow neural quantum states for the two-dimensional Hubbard model

    cond-mat.str-el 2026-07 conditional novelty 4.0 of 10

    For Transformer backflow neural quantum states on the 4x4 doped Hubbard model, larger width, more determinant channels, and larger Monte Carlo batches improve final accuracy, and a less restrictive update-norm thresho...

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