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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Michigan State University, 619 Red Cedar Road, East Lansing, 48823, MI, USA

    Rajinder Mavi

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  1. Rajinder Mavi
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Correspondence to Rajinder Mavi.

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This work was supported by the Institute of Mathematical Physics at Michigan State University and NSF Grant DMS-1101578

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Mavi, R. Localization for the Ising Model in a Transverse Field with Generic Aperiodic Disorder. Math Phys Anal Geom 22, 5 (2019). https://doi.org/10.1007/s11040-019-9303-y

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