ABSTRACT Considering a photon field from its constituent electrons and ions, a photon correlation theory for ferroelectrics and antiferromagnetism is proposed. We calculate the spontaneous polarization which originates from a certain alignments of photon field in correlation with the specific phonon mode. Using the microscopic Hamiltonian we obtain the ferroelectric transition temperature, Tc and the antiferromagnetic transition temperature, TN in multiferroic materials. Tc and TN are given by same formula except different wavevector dependence originated from geometric difference between ferroelectrics and antiferromagnetism in multiferroics. The correlation between magnetic field and electric field on ferroelectrics and antiferromagnetism is considered to obtain the spontaneous polarization in good correspondence with experimental data.

中文翻译：

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光子隧穿模型解释多铁性材料中的铁电性和反铁磁性

摘要考虑到来自其组成电子和离子的光子场，提出了铁电体和反铁磁性的光子相关理论。我们计算源自与特定声子模式相关的特定光子场排列的自发极化。使用微观哈密顿量，我们获得了多铁性材料中的铁电转变温度 Tc 和反铁磁转变温度 TN。Tc 和TN 由相同的公式给出，只是由于多铁性中铁电体和反铁磁性之间的几何差异而产生不同的波矢量依赖性。考虑磁场和电场对铁电体和反铁磁性的相关性，以获得与实验数据良好对应的自发极化。