Journal
PHYSICAL REVIEW B
Volume 88, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.144104
Keywords
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Funding
- Italian Ministry of Education, University, and Research [FIRB/2008, RBFR08M3P4]
- European Union [290038]
- [2010HXAW77-008]
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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.
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