Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr2 O3 data
Abstract
Earlier, the linear magnetoelectric effect of chromium sesquioxide Cr2 O3 has been determined experimentally as a function of temperature. One measures the electric field-induced magnetization on Cr2 O3 crystals or the magnetic field-induced polarization. From the magnetoelectric moduli of Cr2 O3 we extract a 4-dimensional relativistic invariant pseudoscalar α. It is temperature dependent and of the order of ~ 10-4 Y0, with Y0 as vacuum admittance. We show that the new pseudoscalar α is odd under parity transformation and odd under time inversion. Moreover, α is for Cr2 O3 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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