 98258 R. Kotecky, D. Ueltschi
 Effective interactions due to quantum fluctuations
(162K, LATeX 2e)
Apr 4, 98

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Abstract. Quantum lattice systems are rigorously studied at low
temperatures. When the Hamiltonian of the system consists of a
potential (diagonal) term and a  small  offdiagonal matrix
containing typically quantum effects, such as a hopping matrix,
we show that the latter creates an effective interaction between
the particles.
In the case that the potential matrix has infinitely many degenerate
ground states, some of them may be stabilized by the effective
potential. The low temperature phase diagram is thus a small
deformation of the zero temperature phase diagram of the diagonal
potential and the effective potential. As illustrations we
discuss the asymmetric Hubbard model and the hardcore BoseHubbard
model.
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