title: Efficient Cluster Algorithm for Spin Glasses in Any Space Dimension.
abstract: Spin systems with frustration and disorder are notoriously difficult to study, both analytically and numerically. While the simulation of ferromagnetic statistical mechanical models benefits greatly from cluster algorithms, these accelerated dynamics methods remain elusive for generic spin-glass-like systems. Here, we present a cluster algorithm for Ising spin glasses that works in any space dimension and speeds up thermalization by at least one order of magnitude at temperatures where thermalization is typically difficult. Our isoenergetic cluster moves are based on the Houdayer cluster algorithm for two-dimensional spin glasses and lead to a speedup over conventional state-of-the-art methods that increases with the system size. We illustrate the benefits of the isoenergetic cluster moves in two and three space dimensions, as well as the nonplanar chimera topology found in the D-Wave Inc. quantum annealing machine.
authors: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.
authors: Zheng
authors: Z
authors: Zhu
authors: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.
authors: Andrew J
authors: AJ
authors: Ochoa
authors: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.|Materials Science and Engineering Program, Texas A&M University, College Station, Texas 77843, USA.|Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico 87501, USA.
authors: Helmut G
authors: HG
authors: Katzgraber