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Resistance inequalities for KMS states of the isotropic Heisenberg model

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Abstract

Inequalities which show that the spin correlations between spins at two lattice sites is bounded by a constant times the inverse square root of the electrical resistance between the lattice sites is proved for KMS states of the isotropic Heisenberg model. The resistance is calculated using the inverse of the coefficients occuring in the Heisenberg Hamiltionian as the resistances between neighboring lattice sites.

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Communicated by G. Gallavotti

Work supported in part by a National Science Foundation Grant

On leave from the University of Pennsylvania, Philadelphia, Pa. 19174, USA

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Powers, R.T. Resistance inequalities for KMS states of the isotropic Heisenberg model. Commun.Math. Phys. 51, 151–156 (1976). https://doi.org/10.1007/BF01609345

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  • DOI: https://doi.org/10.1007/BF01609345

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