Abstract
We prove that the following lattice systems:
-
(1)
anisotropic Heisenberg model,
-
(2)
Ising model with transverse magnetic field,
-
(3)
quantum lattice gas with hard cores extending over nearest neighbours,
exhibit phase transitions if the temperature is sufficiently low and the transverse (or kinetic) part of the interaction sufficiently small.
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Laboratoire associé au Centre National de la Recherche Scientifique.
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Ginibre, J. Existence of phase transitions for quantum lattice systems. Commun.Math. Phys. 14, 205–234 (1969). https://doi.org/10.1007/BF01645421
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DOI: https://doi.org/10.1007/BF01645421