One-dimensional frustrated Ising systems

T. Horiguchi

Ingo Peschel

Jean‐Charles Walter, Christophe Chatelain

We study the dynamics of the critical two-dimensional fully frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value z c = 2. In a second step, the system is prepared in the paramagnetic phase and then quenched at its critical temperature T c = 0. Numerical evidence for the existence of logarithmic corrections in the ageing regime is presented. These corrections may be related to the topological defects observed in other fully frustrated models. The autocorrelation exponent is estimated to be λ = d as for the Ising chain quenched at T c = 0.

Norikiyo Uryû, Mitsuru Tanimura

Akai Kurbanovich Murtazaev, I. K. Kamilov, Рамазанов Магомедшейх Курбанович

The critical properties of the three-dimensional fully frustrated Ising model on a cubic lattice are investigated by the Monte Carlo method. The critical exponents α (heat capacity), γ (susceptibility), β (magnetization), and ν (correlation length), as well as the Fisher exponent η, are calculated in the framework of the finite-size scaling theory. It is demonstrated that the three-dimensional frustrated Ising model on a cubic lattice forms a new universality class of the critical behavior.

Matthias Troyer, L. B. Ioffe, M. V. Feigel’man +3 more