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  • Chem Sci Trans., 2015, 4(4),  pp 1131-1138  

    DOI:10.7598/cst2015.1136

    Research Article

    Phase Transitions in KDP-Type Crystals

  • VIJAY SINGH BIST, NARAYAN SINGH PANWAR and BIRENDRA SINGH SEMWAL
  • University Science Instrumentation Centre, School of Engineering and Technology, HNB Garhwal University Srinagar (Garhwal) Uttrakhand - 24 6174, India
  • Abstract

    Curie temperature is determined by investigating the variation of order-parameter < Szq > with temperature. The model Hamiltonian proposed by Blinc and Zeks has been modified by considering the lattice anharmonicities up to fourth order. The correlations appearing in the dynamical equation have been evaluated using double-time thermal retarded Green`s function and Dyson`s equation. The expressions for shift, width, renormalized soft mode frequency, Curie temperature, the expectation value of the proton collective mode components at site q (< Szq >,< Sxq >) and have been derived and discussed in KDP - type crystals. By fitting model values of physical quantities, the temperature dependence of < Szq > and < Sxq > for different value of four-body coupling have been calculated. The theoretical results are found in good agreement with the experimental results.

    Keywords

    Phase transition, Curie temperature, Green?s function, Dyson?s equation, Soft mode frequency

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