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Monte Carlo Studies for Strong Correlations in Hubbard-Type Models

Published online by Cambridge University Press:  10 February 2011

E. S. Heeb
E. S. Heeb*
Affiliation:
Institute for Theoretical Physics, ETH Zürich, CH-8093 Zürich, SWITZERLAND
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Abstract

The tight-binding model with repulsive Hubbard interactions represents an ideal prototype for the study of strong correlations. While exact numerical methods have been used with some success, they are typically limited by the size of the clusters that can be investigated or by the temperatures that can be reached. Variational methods, on the other hand, often require considerable advance knowledge of ground-state properties. The method presented here alleviates this problem by augmenting the variational approach with a scheme similar to Lanczos iterations thus bridging the gap between exact diagonalization and variational approaches. For the t-J model, the low-energy effective Hamiltonian of the Hubbard model, material properties like broken translational invariance or superconducting correlations are then investigated and a region of stability of a superconducting phase is found.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 491: Symposium R – Tight Binding Approach to Computational Materials Science , 1997 , 167
Copyright
Copyright © Materials Research Society 1998

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References

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