Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-08-04
Physics
Condensed Matter
Strongly Correlated Electrons
23 pages, in plain tex, 12 Postscript figures included. Accepted for publication in J.Physics : Condensed Matter
Scientific paper
10.1088/0953-8984/9/36/005
The need for suitable many or infinite fermion correlation functions to describe some low dimensional strongly correlated systems is discussed. This is linked to the need for a correlated basis, in which the ground state may be postive definite, and in which single particle correlations may suffice. A particular trial basis is proposed, and applied to a certain quasi-1D model. The model is a strip of the 2D square lattice wrapped around a cylinder, and is related to the ladder geometries, but with periodic instead of open boundary conditions along the edges. Analysis involves a novel mean-field approach and exact diagonalisation. The model has a paramagnetic region and a Nagaoka ferromagnetic region. The proposed basis is well suited to the model, and single particle correlations in it have power law decay for the paramagnet, where the charge motion is qualitatively hard core bosonic. The mean field also leads to a BCS-type model with single particle long range order.
Castleton C. W. M.
Long M. W.
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