Abstract
Quantum spin systems with random parameters have been introduced to study the effect of impurities in several physical systems (e.g., [1],[2], where models related to superfluidity and superconductivity are discussed). The finite volume Hamiltonian is typically of the form H Λ = JH 0,Λ + V Λ where H 0,Λ favors long-range order and V Λ has discrete spectrum with a unique ground state in which the elementary excitations of the system are perfectly localized, so for J = 0 the ground state correlation function is a δ-function. One or both of H0,Λ and V Λ may contain random parameters. J is a coupling constant.
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