Critical behavior of the XY model in complex topologies

Article

关键词: MERMIN-WAGNER THEOREM;    MONTE-CARLO METHOD;    SPIN-GLASS;    PHASE-TRANSITION;    SPHERICAL MODEL;    RANDOM-WALKS;    POTTS-MODEL;    GRAPHS;    OVERRELAXATION;    METASTABILITY;   

DOI  :  10.1103/PhysRevB.88.144104

来源: SCIE

【 摘 要 】

The critical behavior of the O(2) model on dilute Levy graphs built on a two-dimensional square lattice is analyzed. Different qualitative cases are probed, varying the exponent rho governing the dependence on the distance of the connectivity probability distribution. The mean-field regime, as well as the long-range and short-range non-mean-field regimes, are investigated by means of high-performance parallel Monte Carlo numerical simulations running on GPUs. The relationship between the long-range rho exponent and the effective dimension of an equivalent short-range system with the same critical behavior is investigated. Evidence is provided for the effective short-range dimension to coincide with the spectral dimension of the Levy graph for the XY model in the mean-field regime.

【 授权许可】

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