Existence of phase transitions for quantum lattice systems
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Abstract
We prove that the following lattice systems:exhibit phase transitions if the temperature is sufficiently low and the transverse (or kinetic) part of the interaction sufficiently small.
- (1)
anisotropic Heisenberg model,
- (2)
Ising model with transverse magnetic field,
- (3)
quantum lattice gas with hard cores extending over nearest neighbours,
Keywords
Magnetic Field Neural Network Phase Transition Statistical Physic Complex System
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