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APS » Journals » Phys. Rev. B » Volume 48 » Issue 13
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Phys. Rev. B 48, 9515–9523 (1993)

Cluster diagonalization in systematically expanded Hilbert spaces: Application to models of correlated electrons

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José Riera
Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373
Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235

Elbio Dagotto
Department of Physics, Center for Materials Research and Technology, Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306

Received 4 June 1993; published in the issue dated 1 October 1993

A method of cluster diagonalization in a systematically expanded Hilbert space is described. We discuss some applications of this procedure to models of high-Tc superconductors, like the t-J model and the one- and three-band Hubbard models in two dimensions. The results obtained with this method are compared against results obtained with other techniques dealing with truncated Hilbert spaces. The relation between this method of diagonalization in a reduced Hilbert space, and perturbation theory and variational techniques is also discused.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.48.9515
DOI:
10.1103/PhysRevB.48.9515
PACS:
75.10.Jm, 75.40.Mg, 74.20.-z
 
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