3 citations · 8 across the 7 of their papers we have counts for
13 papers
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…
Star-triangle duality estimates for triangular and honeycomb permutation models
Masayuki Ohzeki
We study a duality analysis in conjunction with the star-triangle transformation for symmetric-group permutation models on the triangular and honeycomb lattices. The calculation is…
Cavity method for permutation models on Cayley trees
Masayuki Ohzeki
Motivated by permutation statistical models arising in random tensor networks, we study permutation models on a Cayley tree whose variables take values in the symmetric group $\Sn$…
Finite-Basis Duality Estimate for the Surface-Code Threshold under Correlated Bit-Flip Errors
Masayuki Ohzeki
We apply finite-basis duality to a statistical-mechanical model introduced by Chubb and Flammia for the surface code under spatially correlated bit-flip noise. Their mapping gives…
Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group
Ryuki Ito, Taisei Matsuo, Masayuki Ohzeki
The permutation model is a classical spin system where elements of the symmetric group interact with one another. The partition function of this model is directly related to the en…
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…
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. Witho…
Replica bound for Ising spin glass models in one dimension
Manaka Okuyama, Masayuki Ohzeki
The interpolation method is a powerful tool for rigorous analysis of mean-field spin glass models, both with and without dilution. In this study, we show that the interpolation met…
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…
Toward mean-field bound for critical temperature on Nishimori line
Manaka Okuyama, Masayuki Ohzeki
The critical inverse temperature of the mean-field approximation establishes a lower bound of the true critical inverse temperature in a broad class of ferromagnetic spin models. T…