Magnetism of frustrated regular networks
arXiv:0812.1128
Abstract
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 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 by means of the heat-bath Monte Carlo simulations. The aim is the transition temperature dependence on the clustering coefficient . 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 increases, the critical temperature falls down towards the values which are close to the theoretical predictions for the spin-glass phase.
9 pages, 5 figures. Presented at the 21st Marian Smoluchowski Symposium on Statistical Physics, September 13-18 2008, Zakopane, Poland