From the 1 of 10 linked papers with an AI index.
10 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…
Star-triangle duality estimates for triangular and honeycomb permutation models
Masayuki Ohzeki
The paper applies a star‑triangle transformation combined with duality analysis to symmetric‑group permutation models on triangular and honeycomb lattices, estimating the critical…
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…