Ferroelectric Phase Transitions from First Principles

Details Ferroelectric Phase Transitions from First Principles Ferroelectric Phase Transitions from First Principles

1995-05-18

arxiv.org/abs/mtrl-th/9505009v1

Physics

Condensed Matter

Materials Science

14 pages, harvmac, 4 uuencoded figures

Scientific paper

10.1016/0022-3697(96)00004-2

An effective Hamiltonian for the ferroelectric transition in $PbTiO_3$ is constructed from first-principles density-functional-theory total-energy and linear-response calculations through the use of a localized, symmetrized basis set of ``lattice Wannier functions.'' Preliminary results of Monte Carlo simulations for this system show a first-order cubic-tetragonal transition at 660 K. The involvement of the Pb atom in the lattice instability and the coupling of local distortions to strain are found to be particularly important in producing the behavior characteristic of the $PbTiO_3$ transition. A tentative explanation for the presence of local distortions experimentally observed above $T_c$ is suggested. Further applications of this method to a variety of systems and structures are proposed for first-principles study of finite-temperature structural properties in individual materials.

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