Critical line between the first-order and the second-order phase transition for ferroelectric thin films described by TIM. (English) Zbl 1136.82384
Summary: We apply the transverse-field Ising model (TIM) with a four-body interaction term to ferroelectric thin films. By defining a critical value \((J^{\prime }/J)_c\), the critical line between the first-order and the second-order phase transition is obtained for ferroelectric thin films. We discuss influence of the film thickness on the critical value \((J^{\prime }/J)_c\). Behavior of the phase transition and the dielectric susceptibility of ferroelectric thin films are investigated within the mean-field approximation.
MSC:
| 82D45 | Statistical mechanics of ferroelectrics |
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