Localization for the Ising Model in a Transverse Field with Generic Aperiodic Disorder

  • Rajinder MaviEmail author


We show that the transverse field Ising model undergoes a zero temperature phase transition for a Gδ 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.


Ground state Transverse field Ising model Quasiperiodic Dense G delta 



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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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