Phase transitions and order-by-quantum disorder for the anti- ferromagnetic XY model in the checkerboard lattice

dc.creatorMoura, A. R.
dc.date2018-09-06T14:14:16Z
dc.date2018-09-06T14:14:16Z
dc.date2015-11-15
dc.date.accessioned2023-09-27T20:37:56Z
dc.date.available2023-09-27T20:37:56Z
dc.identifier03048853
dc.identifierhttps://doi.org/10.1016/j.jmmm.2015.06.027
dc.identifierhttp://www.locus.ufv.br/handle/123456789/21695
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8945409
dc.descriptionIn this work we have studied the phases of the XY antiferromagnetic model in the checkerboard lattice (the two-dimensional analog of the pyrochlore lattice). Using the traditional linear spin–wave approximation, we obtain a transition from an order to a disordered phase in some critical value r c = J ′ / J . The phase transition occurs due to quantum fluctuations. However, when we consider higher order perturbations the scenario is entirely different. We have applied the Self-Consistent Harmonic Approximation method and the results show that quantum perturbations induce long-range spin–spin correlations even above the critical point r c . This is a typical feature of order-by-quantum disorder when the system chooses one of the many classical ground states to occupy. We have also determined the thermal phase transitions similar to the Berezinskii–Kosterlitz–Thouless phase transition and the action of a single-ion anisotropy, responsible for a Quantum Phase Transition at zero temperature.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherJournal of Magnetism and Magnetic Materials
dc.relationv. 394, p. 60- 66, nov. 2015
dc.rightsElsevier B.V.
dc.subjectCheckerboard lattice
dc.subjectAntiferromagnetic XY model
dc.subjectSelf-Consistent Harmonic Approximation
dc.subjectOrder-by-disorder
dc.titlePhase transitions and order-by-quantum disorder for the anti- ferromagnetic XY model in the checkerboard lattice
dc.typeArtigo


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