磁电晶体的相对论分析：从Cr_2O_3数据中提取一个新的四维P奇和T奇赝标
Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data
摘要：
在此之前，实验测定了三氧化二铬Cr_2O_3的线性磁电效应与温度的关系.一种是测量Cr_2O_3晶体的电场感生磁化强度或磁场感生极化强度.从Cr_2O_3的磁电模量中提取出一个四维相对论不变赝标量\tilde α。它与温度有关，约为10^{-4} Y_0，Y_0为真空导纳。我们证明了新的赝标\tilde α在奇偶变换下是奇的，在时间反演下是奇的.此外，\tilde α对于Cr_2O_3来说，相当于Tellegen的回转器对于二端口理论，轴子场对于轴子电动力学，以及PEMC（perfect electromagnetic conductor）对于电工学。
英文摘要：
Earlier, the linear magnetoelectric effect of chromium sesquioxide Cr_2 O_3 has been determined experimentally as a function of temperature. One measures the electric field-induced magnetization on Cr_2 O_3 crystals or the magnetic field-induced polarization. From the magnetoelectric moduli of Cr_2 O_3 we extract a 4-dimensional relativistic invariant pseudoscalar \tildeα. It is temperature dependent and of the order of ~ 10^{-4} Y_0, with Y_0 as vacuum admittance. We show that the new pseudoscalar \tildeαis odd under parity transformation and odd under time inversion. Moreover, \tildeαis for Cr_2 O_3 what Tellegen's gyrator is for two port theory, the axion field for axion electrodynamics, and the PEMC (perfect electromagnetic conductor) for electrical engineering.
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