Thursday, February 16, 2012

1202.3158 (Andreas Mielke)

Properties of Hubbard models with degenerate localized single particle
eigenstates
   [PDF]

Andreas Mielke
We consider the repulsive Hubbard model on a class of lattices or graphs for
which there is a large degeneracy of the single particle ground states and
where the projector onto the space of single particle ground states is highly
reducible. This means that one can find a basis in the space of the single
particle ground states such that the support of each single particle ground
state belongs to some small cluster and these clusters do not overlap. We show
how such lattices can be constructed in arbitrary dimensions. We derive some of
the ground state properties, esp. some properties of the entropy density at
zero temperature.
View original: http://arxiv.org/abs/1202.3158

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