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arXiv 1105.0930cond-mat.mtrl-scicond-mat.stat-mech
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单轴铁电体的精确可解模型

Exactly solvable model of uniaxial ferroelectrics

A. Yu. Zakharov, M. I. Bichurin, N. V. Evstigneeva

摘要:

将一个精确可解的无限程势格子模型应用于单轴铁电体。得到了任意温度下自由能随序参量变化的渐近精确表达式。考虑了晶格晶胞的热膨胀效应。给出了临界点附近自由能的序参量幂展开式。对朗道展开式进行了修正。特别是,它表明,与外部字段的被加数包含一个贡献的更高的权力超过序参量。关键词:晶格模型,自由能,相变,长程原子间作用势,居里温度,极化PACS:05. 20.- 05.70 a,82.65。R

英文摘要:

An exactly solvable lattice model with infinite-range potential is applied to uniaxial ferroelectrics. Asymptotically exact expression for free energy as a function of an order parameter at any temperatures is obtained. Effect of thermal expansion of lattice unit cell is taken into account. The free energy expansion in powers of order parameter in the vicinity of critical point is presented. Corrections to Landau expansion are obtained. In particular, it is shown that summand with external field contains a contribution of higher powers over order parameter. Keywords: Lattice model, Free energy, Phase transition, Long-range interatomic potentials, Curie temperature, polarization PACS: 05.20.-y, 05.70.-a, 82.65.+r

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