Majority-vote model on triangular, honeycomb and Kagomé lattices
نویسندگان
چکیده
منابع مشابه
Possible spin-liquid states on the triangular and kagomé lattices.
The frustrated quantum spin-one-half Heisenberg model on the triangular and Kagomé lattices is mapped onto a single species of fermion carrying statistical flux θ = π. The corresponding Chern-Simons gauge theory is analyzed at the Gaussian level and found to be massive. This provides a new motivation for the spin-liquid Kalmeyer-Laughlin wave function. Good overlap of this wave function with th...
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In order to study the magnetic properties of frustrated metallic systems, we present, for the first time, quantum Monte Carlo data on the magnetic susceptibility of the Hubbard model on triangular and kagomé lattices. We show that the underlying lattice structure determines the nature and the doping dependence of the magnetic fluctuations. In particular, in the doped kagomé case we find strong ...
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The majority-vote model with noise on Erdös-Rényi's random graphs has been studied. Monte Carlo simulations were performed to characterize the order-disorder phase transition appearing in the system. We found that the value of the critical noise parameter qc is an increasing function of the mean connectivity z of the random graph. The critical exponents beta/nu, gamma/nu, and 1/nu were calculat...
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Majority-vote models on scale-free hypergraphs are investigated by means of numerical simulations with different variants of system dynamics. Hypergraphs are generalisations of ordinary graphs in which higher order of social organisation is included by introducing hyperedges corresponding to social groups, connecting more than two nodes. In the models under study, opinions of agents (two-state ...
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Received Day Month Year Revised Day Month Year We study a nonequilibrium model with up-down symmetry and a noise parameter q known as majority-vote model of M.J. Oliveira 1992 on opinion-dependent network or Stauffer-Hohnisch-Pittnauer networks. By Monte Carlo simulations and finite-size scaling relations the critical exponents β/ν, γ/ν, and 1/ν and points qc and U * are obtained. After extensi...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2011
ISSN: 0378-4371
DOI: 10.1016/j.physa.2010.08.054