Abstract
The thermodynamic limit of a quantum spin system is considered. It is demonstrated that for a large class of interactions and a wide range of the thermodynamic parameters the equilibrium state of the system is describable by an extremalZ v-invariant state (a single phase state) over aC* algebra of local observables. It is further shown that the equilibrium state may be obtained as the solution of a variational problem involving the mean entropy. These results extend results previously obtained for classical spin systems byGallavotti, Miracle-Sole andRuelle.
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References
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Robinson, D.W. Statistical mechanics of quantum spin systems. Commun.Math. Phys. 6, 151–160 (1967). https://doi.org/10.1007/BF01654130
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DOI: https://doi.org/10.1007/BF01654130