title: Event-chain algorithm for the Heisenberg model: Evidence for z≃1 dynamic scaling.
abstract: 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≈1 at the critical temperature, while that of the magnetization does not measure the performance of the algorithm. We show that the event-chain Monte Carlo algorithm substantially reduces the dynamical critical exponent from the conventional value of z≃2.
authors.affiliation: Department of Basic Science, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan.
authors.forename: Yoshihiko
authors.initials: Y
authors.lastname: Nishikawa
authors.affiliation: Laboratoire de Physique Statistique, Ecole Normale Supérieure, PSL Research University, UPMC, Université Paris Diderot, CNRS, 24 Rue Lhomond, 75005 Paris, France.
authors.forename: Manon
authors.initials: M
authors.lastname: Michel
authors.affiliation: Laboratoire de Physique Statistique, Ecole Normale Supérieure, PSL Research University, UPMC, Université Paris Diderot, CNRS, 24 Rue Lhomond, 75005 Paris, France.
authors.forename: Werner
authors.initials: W
authors.lastname: Krauth
authors.affiliation: Department of Basic Science, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan.|Center for Materials Research by Information Integration, National Institute for Materials Science, 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan.
authors.forename: Koji
authors.initials: K
authors.lastname: Hukushima