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A Theoretical Study of the Variation in the Curie Temperature of the La and Zr Doped BaTiO₃ when External Electric Field Is Applied

Dushyant Pradeep, Jagdev Singh, Debabrata Thanapati and Pooja Kumari.

As Barium Titanate (BaTiO3) is a noble ferroelectric material and has enormous applications in various electrical and electronics applications. Different properties of BaTiO3 depend on the Curie temperature of the material and the Curie temperature varies with the introduction of different impurities and the concentration of that impurity. In the present study an expression has been derived for the variation in the Curie Temperature Tc, by using double time temperature dependent Green’s function and a modified Joseph Hamiltonian. In the formalism the fourth order anharmonic phonon-phonon interaction is considered. The variation of the Tc is also studied under the effect of applied electric field and the results are compared with the previous studies achieved by different researchers.