Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field

15 Oct 2019 Itoi C. Utsunomiya Y.

We prove that the variance of spin overlap vanishes in disordered Ising models satisfying the Fortuin-Kasteleyn-Ginibre (FKG) inequality under a uniform field, such as generally distributed random field Ising model, site- and bond-diluted Ising models with the Bernoulli distribution. Chatterjee's proof for the Gaussian random field Ising model is generalized to other independent identically distributed quenched disorder under a uniform field...

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • MATHEMATICAL PHYSICS
  • DISORDERED SYSTEMS AND NEURAL NETWORKS
  • MATHEMATICAL PHYSICS