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Article Dans Une Revue Physical Review E Année : 2015

Event-chain algorithm for the Heisenberg model: Evidence for $z \simeq 1$ dynamic scaling

Résumé

We apply the event-chain Monte Carlo algorithm to the three-dimensional ferromagnetic Heisenberg model. The algorithm is rejection-free and also realizes an irreversible Markov chain that satisfies global balance. The autocorrelation functions of the magnetic susceptibility and the energy indicate a dynamical critical exponent $z \approx 1$ at the critical temperature, while that of the magnetization does not measure the performance of the algorithm. This seems to be the first report that the event-chain Monte Carlo algorithm substantially reduces the dynamical critical exponent from the conventional value of $z\simeq 2$.

Dates et versions

hal-03019980 , version 1 (23-11-2020)

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Yoshihiko Nishikawa, Manon Michel, Werner Krauth, Koji Hukushima. Event-chain algorithm for the Heisenberg model: Evidence for $z \simeq 1$ dynamic scaling. Physical Review E , 2015, ⟨10.1103/PhysRevE.92.063306⟩. ⟨hal-03019980⟩
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