2 papers
math-ph2019
Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field
C. Itoi, Y. Utsunomiya
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 di…
math-ph2019
No replica symmetry breaking phase in random field Ginzburg-Landau model
C. Itoi, Y. Utsunomiya
It is proved that the variance of spin overlap vanishes in the infinite volume limit of random field Ginzburg-Landau model using its FKG property.