Locality properties and Wannier
functions for interacting systems
Koch E., S. Goedecker
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.
Solid State Comm 119 (2001), 105-109
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