Two-dimensional Ising model with Einstein site phonons
Abstract
We consider a simple Ising magnetic model in two dimensions with Einstein site phonons and study it using Monte Carlo simulations that take into account both degrees of freedom simultaneously. In nonfrustrated systems, like the square lattice with ferromagnetic and antiferromagnetic interactions, we find that the coupling of the magnetic to the elastic degrees of freedom gradually lowers the magnetic ordering transition until it is completely suppressed at a critical value of the coupling constant. Above this the system suffers a simultaneous magnetic and structural transition into a dimerized state with lower crystalline symmetry and ferromagnetic clusters antiferromagnetically aligned. In the case of the Kagomé lattice with antiferromagnetic interactions, which is frustrated, we show that a similar ordered state takes place when the coupling constant is above a critical value.
Citation
Pili , L & Grigera , S A 2019 , ' Two-dimensional Ising model with Einstein site phonons ' , Physical Review B , vol. 99 , no. 14 , 144421 . https://doi.org/10.1103/PhysRevB.99.144421
Publication
Physical Review B
Status
Peer reviewed
ISSN
1098-0121Type
Journal article
Description
This work was supported by CONICET (Argentina), and ANPCYT (Argentina) via Grant PICT-2013-2004.Collections
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