Spin glass behavior of the antiferromagnetic Ising model on a scale-free network

Details Spin glass behavior of the antiferromagnetic Ising model on a scale-free network Spin glass behavior of the antiferromagnetic Ising model on a scale-free network

2005-12-20

arxiv.org/abs/cond-mat/0512488v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 7 figures. Physical Review B, in press

Scientific paper

10.1103/PhysRevB.73.224419

Antiferromagnetic Ising spins on the scale-free Barabasi-Albert network are studied via the Monte Carlo method. Using the replica exchange algorithm, we calculate the temperature dependence of various physical quantities of interest including the overlap and the Binder parameters. We observe a transition between a paramagnetic phase and a spin glass phase and estimate the critical temperature for the phase transition to be $T \sim 4.0(1)$ in units of $J/k_B$, where $J$ is the coupling strength between spins and $k_B$ is the Boltzmann constant. Using the scaling behaviour of the Binder parameter, we estimate the scaling exponent to be $\nu \sim 1.10(2)$.

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