A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
Baity-Jesi, R
4 Pith papers cite this work, alongside 115 external citations. Polarity classification is still indexing.
fields
cond-mat.dis-nn 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
PTHR equilibrates many L=16 3D spin glass samples at T>=0.2 with better size scaling than standard parallel tempering and ~64x speedup over other cluster algorithms.
Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.
Numerical simulations confirm that the 3D SU(2) gauge glass model retains O(4) universality for the ferromagnetic-paramagnetic transition under weak disorder and shows disorder-independent universal behavior at the paramagnetic-spin glass transition.
citing papers explorer
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Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles
A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
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Cluster moves with an entropic reservoir accelerate low-temperature simulations of three-dimensional spin glasses
PTHR equilibrates many L=16 3D spin glass samples at T>=0.2 with better size scaling than standard parallel tempering and ~64x speedup over other cluster algorithms.
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On the true low-energy excitations of the three-dimensional spin glass
Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.
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Critical Universality of the SU (2) Gauge Glass Model Analyzed by the Dynamical Scaling Method
Numerical simulations confirm that the 3D SU(2) gauge glass model retains O(4) universality for the ferromagnetic-paramagnetic transition under weak disorder and shows disorder-independent universal behavior at the paramagnetic-spin glass transition.