| Autor: |
Schrauth M; Institute of Theoretical Physics and Astrophysics, University of Würzburg, 97074 Würzburg, Germany., Richter JAJ; Institute of Theoretical Physics and Astrophysics, University of Würzburg, 97074 Würzburg, Germany., Portela JSE; Institute of Theoretical Physics and Astrophysics, University of Würzburg, 97074 Würzburg, Germany.; Departamento Acadêmico de Física, Universidade Tecnológica Federal do Paraná, Pato Branco, 85503-390, PR, Brazil. |
| Abstrakt: |
We study the two-dimensional Ising model on networks with quenched topological (connectivity) disorder. In particular, we construct random lattices of constant coordination number and perform large-scale Monte Carlo simulations in order to obtain critical exponents using finite-size scaling relations. We find disorder-dependent effective critical exponents, similar to diluted models, showing thus no clear universal behavior. Considering the very recent results for the two-dimensional Ising model on proximity graphs and the coordination number correlation analysis suggested by Barghathi and Vojta [Phys. Rev. Lett. 113, 120602 (2014)PRLTAO0031-900710.1103/PhysRevLett.113.120602], our results indicate that the planarity and connectedness of the lattice play an important role on deciding whether the phase transition is stable against quenched topological disorder. |
