arXiv · cond-mat/0302272
Density Functional Study of Cubic to Rhombohedral Transition in $α$-AlF$_3$
Abstract
Under heating, $α$-AlF$_3$ undergoes a structural phase transition from rhombohedral to cubic at temperature $T$ around 730 K. The density functional method is used to examine the $T$=0 energy surface in the structural parameter space, and finds the minimum in good agreement with the observed rhombohedral structure. The energy surface and electronic wave-functions at the minimum are then used to calculate properties including density of states, $Γ$-point phonon modes, and the dielectric function. The dipole formed at each fluorine ion in the low temperature phase is also calculated, and is used in a classical electrostatic picture to examine possible antiferroelectric aspects of this phase transition.
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Yiing-Rei Chen, Vasili Perebeinos, Philip B. Allen. 2003-10-20. Density Functional Study of Cubic to Rhombohedral Transition in $α$-AlF$_3$. https://doi.org/10.1103/physrevb.69.054109
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