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Localization for the Ising model in a transverse field with generic aperiodic disorder
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math-phmath.MP
keywords
transversefieldfieldsisingmodelphasetransitionaperiodic
abstract
We show that the transverse field Ising model undergoes a zero temperature phase transition for a $G_\delta$ set of ergodic transverse fields. We apply our results to the special case of quasiperiodic transverse fields, in one dimension we find a sharp condition for the existence of a phase transition.
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