8 papers
Absence of Spin-Glass Order on Migdal--Kadanoff Hierarchical Lattices near Three Dimensions
Manaka Okuyama, Masayuki Ohzeki
We derive a rigorous sufficient condition for the absence of spin-glass order in the Ising spin glass with symmetric binary couplings on Migdal--Kadanoff (MK) hierarchical lattices…
Griffiths inequalities and Gibbs-Bogoliubov inequality for general gauge glasses with Gaussian disorder on Nishimori line
Manaka Okuyama, Masayuki Ohzeki
We consider a class of gauge glass models with Gaussian disorder on the Nishimori line, including the Ising spin glass, the gauge glass, the gauge glass, and the gauge-i…
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line
Manaka Okuyama, Masayuki Ohzeki
Dyson [Commun. Math. Phys. 12, 91 (1969)] rigorously proved the existence of a phase transition in the one-dimensional Ising model with long-range interactions of the form …
Temperature chaos as a logical consequence of the reentrant transition in spin glasses
Hidetoshi Nishimori, Masayuki Ohzeki, Manaka Okuyama
Temperature chaos is a striking phenomenon in spin glasses, where even slight changes in temperature lead to a complete reconfiguration of the spin state. Another intriguing effect…
Free energy equivalence between mean-field models and nonsparsely diluted mean-field models
Manaka Okuyama, Masayuki Ohzeki
We studied nonsparsely diluted mean-field models that differ from sparsely diluted mean-field models, such as the Viana--Bray model. When the existence probability of each edge fol…
Existence of long-range order in random-field Ising model on Dyson hierarchical lattice
Manaka Okuyama, Masayuki Ohzeki
We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, , with respect to the distance. With…