Antiferromagnetic Ising Model on Inverse Perovskite Lattice

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dc.creatorTahara, Daisuke
dc.creatorMotome, Yukitoshi
dc.creatorImada, Masatoshi
dc.date2006-12-01
dc.date.accessioned2026-07-07T07:39:35Z
dc.date.available2026-07-07T07:39:35Z
dc.descriptionWe study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional geometrical frustration in terms of magnetic interactions. The system with the nearest-neighbor interactions alone does not exhibit any phase transition, leading to a degenerate ground state with large residual entropy. The degeneracy is lifted by an external magnetic field or by an anisotropy in the interactions. Depending on the anisotropy, they stabilize either a 3D ferrimagnetic state or a partially-disordered antiferromagnetic (PDAF) state with a dimensionality reduction to 2D. By the degeneracy-lifting perturbations, all the transition temperatures of these different ordered states continuously grow from zero, leaving an unusual zero-temperature critical point at the unperturbed point. Such a zero-temperature multicriticality is not observed in other frustrated structures such as face-centered cubic and pyrochlore. The transition to the PDAF state is represented by either the first- or second-order boundaries separated by tricritical lines, whereas the PDAF phase shows 1/3 magnetization plateaus.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0612016
dc.identifierhttp://arxiv.org/abs/cond-mat/0612016
dc.identifierJ. Phys. Soc. Jpn. 76 (2007) 013708
dc.identifierdoi:10.1143/JPSJ.76.013708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121505
dc.subjectStatistical Mechanics
dc.titleAntiferromagnetic Ising Model on Inverse Perovskite Lattice
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