Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data

Abstract

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.

6 pages latex, 3 figures, accepted by Physics Letters A

References in corpus (2)

• Space-time orientations and Maxwell's equations
• Experimental Challenges Involved in Searches for Axion-Like Particles and Nonlinear Quantum Electrodynamic Effects by Sensitive Optical Techniques

Cited by in corpus (16)

• Antiferromagnetic topological insulators
• Axion Electrodynamics in Topological Materials
• Tunable Casimir repulsion with three dimensional topological insulators
• Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
• On Kottler's path: origin and evolution of the premetric program in gravity and in electrodynamics
• The non-birefringent limit of all linear, skewonless media and its unique light-cone structure
• Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field
• Van der Waals torque and force between anisotropic topological insulator slabs
• Magnetoelectric effect in bilayer graphene controlled by valley-isospin density
• Quantum Energy Inequalities in Pre-Metric Electrodynamics
• Forces and momenta caused by electromagnetic waves in magnetoelectric media
• Dynamics of a Rydberg hydrogen atom near a topologically insulating surface
• Electromagnetic coupling of spins and pseudospins in bilayer graphene
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• Spectroscopic footprints of quantum friction in nonreciprocal and chiral media
• Emerging axion detection in artificial magnetoelectric materials