A two-replica cluster algorithm with population annealing fully resolves the sequence of sharp specific heat peaks in the finite-size incommensurate floating phase of the 2D ANNNI model and outperforms single-replica and Metropolis methods.
Cluster moves with an entropic reservoir accelerate low-temperature simulations of three-dimensional spin glasses
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abstract
We present an algorithm for the simulation of three-dimensional spin glasses deep in the low-temperature phase: Parallel Tempering enhanced with Houdayer moves and with an entropic reservoir (PTHR). Although differences with the standard Houdayer algorithm are small, PTHR allows us to equilibrate a large number of samples of $L=16$ lattices with Gaussian couplings for temperatures $T\geq 0.2$. We show that the computational complexity displays better size scaling than standard Parallel Tempering. For finite sizes, our method outperforms other cluster algorithms by a speedup factor of around 64. In close analogy with standard Parallel Tempering, PTHR's computational complexity strongly relates to temperature chaos.
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2026 2verdicts
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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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High Resolution Study of the 2D ANNNI Model Using a Two-replica Cluster Algorithm and Population Annealing
A two-replica cluster algorithm with population annealing fully resolves the sequence of sharp specific heat peaks in the finite-size incommensurate floating phase of the 2D ANNNI model and outperforms single-replica and Metropolis methods.