Existence of Replica-Symmetry Breaking in Quantum Glasses.

  title={Existence of Replica-Symmetry Breaking in Quantum Glasses.},
  author={Hajo Leschke and Chokri Manai and Rainer Ruder and Simone Warzel},
  journal={Physical review letters},
  volume={127 20},
By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick model with a "transverse" magnetic field if the temperature and the field are sufficiently low. The argument also applies to the generalization of the model with multispin interactions, sometimes dubbed as the transverse p-spin model. 

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