Grzegorz Kamieniarz

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The complementary Monte Carlo and series expansions methods of computer simulations have been described to investigate the critical behaviour of the Ashkin-Teller model in three dimensions. In the first method the invariance of the ratio of the square of the second moment of the order parameter to its fourth moment in the critical region has been exploited(More)
  • A Barasi´nski, A Drzewi´nski, G Kamieniarz, R Matysiak, P Sobczak
  • 2008
In the field of molecule-based magnetism materials composed of magnetically isolated chains have become the main research trend in last years. The quantum transfer matrix (QTM) method based on a checkerboard structure has been applied to the one-dimensional Heisenberg model with Dzyaloshinskii-Moriya interaction in the S = 1/2 spin chain. This model with(More)
Monte Carlo simulations in the three-dimensional (3D) Ashkin-Teller model on a cubic lattice are performed in the regions of the two-parameter space diagram where Ising-type phase transitions are expected. The scaling behavior of the Binder cumulant Q and the magnetic susceptibility in the critical region are exploited. In simulations the periodic boundary(More)
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