Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 177, Issue 6, Pages 1063-1076Publisher
SPRINGER
DOI: 10.1007/s10955-019-02408-y
Keywords
Perturbation Hamiltonian; Spontaneous symmetry-breaking; Replica symmetry-breaking; Disordered spin systems; Spin overlap; Self-averaging; The law of large numbers
Categories
Ask authors/readers for more resources
It is shown that the variance of a perturbation Hamiltonian density vanishes in the infinite-volume limit of perturbed spin systems with quenched disorder. This is proven in a simpler way and under less assumptions than before. A corollary of this theorem indicates the impossibility of non-spontaneous replica symmetry-breaking in disordered spin systems. The commutativity between the infinite-volume limit and the switched-off limit of a replica symmetry-breaking perturbation implies that the variance of the spin overlap vanishes in the replica symmetric Gibbs state.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available