2007/06/30 by I. K. Razumov, Yu. N. Gornostyrev, M. I. Katsnelson · 7 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Coupling (piping) #Ground state #Ising model #Lattice (music) #Material Dynamics and Properties #Materials science #Mathematics #Monte Carlo method #Nanoscopic scale #Phase (matter) #Phase diagram #Phonon #Physics #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Statistical physics #Theoretical and Computational Physics #Vibration #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/80/66001
published in Europhysics Letters (EPL) 80(6), 66001 (Institute of Physics) · final version, Europhys. Lett., accepted
arxiv created 2007/10/26 · openalex publication_date 2007/11/16 · arxiv updated 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.