On Phase Transition of $NH_{4}H_{2}PO_{4}$-Type Crystals by Cluster Variation Method

Details On Phase Transition of $NH_{4}H_{2}PO_{4}$-Type Crystals by Cluster Variation Method On Phase Transition of $NH_{4}H_{2}PO_{4}$-Type Crystals by Cluster Variation Method

2001-04-20

arxiv.org/abs/cond-mat/0104380v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 10 figures

Scientific paper

10.1143/JPSJ.70.2550

The Cluster Variation Method (CVM) is applied to the Ishibashi model for ammonium dihydrogen phosphate ($\rm NH_{4}H_{2}PO_{4}$) of a typical hydrogen bonded anti-ferroelectric crystal. The staggered and the uniform susceptibility without hysteresis are calculated at equilibrium. On the other hand, by making use of the natural iteration method (NIM) for the CVM, hysteresis phenomena of uniform susceptibility versus temperature observed in experiments is well explained on the basis of local minimum in Landau type variational free energy. The polarization $P$ curves against the uniform field is also calculated.

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