Two-dimensional Ising model with Einstein site phonons
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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.
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
Physical Review B
Copyright © 2019 American Physical Society. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevB.99.144421
DescriptionThis work was supported by CONICET (Argentina), and ANPCYT (Argentina) via Grant PICT-2013-2004.
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