Localization for the Ising model in a transverse field with generic aperiodic disorder

Rajinder Mavi

Localization for the Ising model in a transverse field with generic aperiodic disorder

Mathematical Physics 2018-05-22 v5 math.MP

Authors: Rajinder Mavi

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.

Keywords

Ising model transverse field aperiodic disorder localization phase transition quasiperiodic ergodic

Cite

@article{arxiv.1605.06514,
  title  = {Localization for the Ising model in a transverse field with generic aperiodic disorder},
  author = {Rajinder Mavi},
  journal= {arXiv preprint arXiv:1605.06514},
  year   = {2018}
}

Comments

39 pages

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