Locality properties and Wannier functions for interacting systems

Details Locality properties and Wannier functions for interacting systems Locality properties and Wannier functions for interacting systems

2001-05-21

arxiv.org/abs/cond-mat/0105401v1

Solid State Communications 119, 105-109 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages with 3 eps figures, to be published in Solid State Communications

Scientific paper

10.1016/S0038-1098(01)00192-2

We define Wannier functions for interacting systems, and show that the results on the localization of the Wannier functions for non-interacting systems carry over to the Wannier functions for interacting systems. In addition we demonstrate that the characterization of metals and insulators by the decay properties of their respective density matrices does not only apply to non-interacting, but also to interacting systems. As a prototypical example of a correlated system we investigate the one-dimensional Hubbard model. We propose an expression for the density matrix of that model, and derive a relation between the decay constant of the density matrix and the gap.

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