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

@article{Mavi2016LocalizationFT,
  title={Localization for the Ising Model in a Transverse Field with Generic Aperiodic Disorder},
  author={R. Mavi},
  journal={Mathematical Physics, Analysis and Geometry},
  year={2016},
  volume={22},
  pages={1-32}
}
  • R. Mavi
  • Published 2016
  • Physics, Mathematics
  • Mathematical Physics, Analysis and Geometry
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. 
3 Citations

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