Absence of Replica Symmetry Breaking in the Transverse and Longitudinal Random Field Ising Model
Journal Article
·
· Journal of Statistical Physics
- Nihon University, Department of Physics, GS & CST (Japan)
It is proved that replica symmetry is not broken in the transverse and longitudinal random field Ising model. In this model, the variance of spin overlap of any component vanishes in any dimension almost everywhere in the coupling constant space in the infinite volume limit. The weak Fortuin–Kasteleyn–Ginibre property in this model and the Ghirlanda–Guerra identities in artificial models in a path integral representation based on the Lie–Trotter–Suzuki formula enable us to extend Chatterjee’s proof for the random field Ising model to the quantum model.
- OSTI ID:
- 22784006
- Journal Information:
- Journal of Statistical Physics, Vol. 170, Issue 4; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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