Critical behavior of the XY model in complex topologies
| Autor: | Berganza, Miguel Ibáñez, Leuzzi, Luca |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Physical Review B 88 (14), 144104 (2013) |
| Druh dokumentu: | Working Paper |
| Popis: | The critical behavior of the O(2) model on dilute Levy graphs built on a 2D 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. Comment: 18 pages, 22 figures. Minor corrections, improved estimations of critical quantities |
| Databáze: | arXiv |
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