161 citations · 261 across the 22 of their papers we have counts for
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Existence and Absence of Spin-Glass Phases on Migdal--Kadanoff Hierarchical Lattices: A Complete Classification
Manaka Okuyama, Masayuki Ohzeki
We consider the Ising spin-glass model on Migdal--Kadanoff (MK) hierarchical lattices, characterized by the fractal dimension , where and denote the numb…
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 …