Density Functional Study of Cubic to Rhombohedral Transition in $α$-AlF$_3$

Physics – Condensed Matter – Materials Science

Scientific paper

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A 6-page manuscript with 4 figures and 4 tables

Scientific paper

10.1103/PhysRevB.69.054109

Under heating, $\alpha$-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, $\Gamma$-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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