Small-cluster calculations for the simple and extended Hubbard models
- 1 July 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 42 (1) , 465-474
- https://doi.org/10.1103/physrevb.42.465
Abstract
The single-band Hubbard model (both with and without first-neighbor interactions) is studied by exact diagonalization on several one- and two-dimensional clusters, ranging from four to nine sites, including rings and arrangements of squares. Occupancies include the half-filled band (one electron per site) and configurations with one and two holes in the half-filled band. Ground-state properties are determined for a wide range of parameters. We discuss the phase diagram in the (U,V) plane and consider spin, charge, and pairing correlations. The binding of a pair of holes is investigated. Circumstances in which binding and pairing are enhanced by first-neighbor interactions are described.Keywords
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