Magnetism of frustrated regular networks

Details Magnetism of frustrated regular networks Magnetism of frustrated regular networks

2008-12-05

arxiv.org/abs/0812.1128v2

Acta Phys. Pol. B 40 (2009) 1455

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 5 figures. Presented at the 21st Marian Smoluchowski Symposium on Statistical Physics, September 13-18 2008, Zakopane

Scientific paper

We consider a regular random network where each node has exactly three neighbours. Ising spins at the network nodes interact antiferromagnetically along the links. The clustering coefficient $C$ is tuned from zero to 1/3 by adding new links. At the same time, the density of geometrically frustrated links increases. We calculate the magnetic specific heat, the spin susceptibility and the Edwards-Anderson order parameter $q$ by means of the heat-bath Monte Carlo simulations. The aim is the transition temperature $T_x$ dependence on the clustering coefficient $C$. The results are compared with the predictions of the Bethe approximation. At C=0, the network is bipartite and the low temperature phase is antiferromagnetic. When $C$ increases, the critical temperature falls down towards the values which are close to the theoretical predictions for the spin-glass phase.

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