Small-cluster calculations for the simple and extended Hubbard models

Callaway, J. ; Chen, D. P. ; Kanhere, D. G. ; Li, Qiming (1990) Small-cluster calculations for the simple and extended Hubbard models Physical Review B, 42 (1). pp. 465-474. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v42/i1/p465_1

Related URL: http://dx.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.

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