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Ferroelectric phase transitions in PbHPO4-type crystals

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Abstract

The statistical retarded double-time temperature-dependent Green’s function method and modified two sublattice pseudospin lattice coupled mode model Hamiltonian by adding phonon anharmonic interactions, extra spin–lattice interactions, direct spin–spin interaction and as well as an electric field terms have been used for the study of phase transition mechanism in PbHPO4-type crystals. The expressions for soft mode frequency, dielectric permittivity and dielectric loss tangent are derived for PbHPO4-type crystals. The modelled values of different physical parameters are fitted in the obtained theoretical expressions. The temperature dependence of soft mode frequency, dielectric permittivity and loss tangent are obtained for PbHPO4, PbHAsO4, BaHPO4 and CaHPO4 crystals. Present results are in good agreement with experimental data for dielectric permittivity reported by Arend et al. The modified model Hamiltonian is suitable to explain transitions in PbHPO4-type crystals.

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Acknowledgements

The authors are thankful to Professor S.C. Bhatt for kindly help in ferroelectric mechanism in LHP-type crystals and useful discussions and department of Physics, HNB Garhwal University, Srinagar (Garhwal) Uttarakhand, India for providing facilities and support in the work.

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  1. Department of Physics, Hemvati Nandan Bahuguna Garhwal University (A Central University), Srinagar (Garhwal), Uttarakhand, 246174, India

    Muzaffar Iqbal Khan & Trilok Chandra Upadhyay

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  1. Muzaffar Iqbal Khan
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  2. Trilok Chandra Upadhyay
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Correspondence to Muzaffar Iqbal Khan.

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Khan, M.I., Upadhyay, T.C. Ferroelectric phase transitions in PbHPO4-type crystals. J Mater Sci: Mater Electron 32, 14569–14583 (2021). https://doi.org/10.1007/s10854-021-06016-z

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