Intrinsic nanoscale inhomogeneity in ordering systems due to elastic-mediated interactionsI. K. Razumov1, 2, Yu. N. Gornostyrev1, 2 and M. I. Katsnelson3
1 Institute of Metal Physics - 620219 Ekaterinburg, Russia
2 Institute of Quantum Materials Science - 620107 Ekaterinburg, Russia
3 Institute for Molecules and Materials, Radboud University Nijmegen - 6525 ED Nijmegen, The Netherlands
received 12 June 2007; accepted in final form 23 October 2007; published December 2007
published online 16 November 2007
Phase diagram and pattern formation in a two-dimensional Ising model with coupling between order parameter and lattice vibrations are investigated by Monte Carlo simulations. It is shown that if the coupling is strong enough (or phonons are soft enough) a short-range order exists in the disordered phase for a broader temperature interval. Different types of this short-range order (stripe-like, chessboard-like, etc.) depending on the temperature and model parameters are investigated. With further increase of the coupling, a reconstruction of the ground state happens and new ordered phases appear at low enough temperatures.
64.60.Cn - Order-disorder transformations; statistical mechanics of model systems.
75.80.+q - Magnetomechanical and magnetoelectric effects, magnetostriction.
05.65.+b - Self-organized systems.
© EPLA 2007