Optical excitations of BiTeI with large Rashba spin splitting have been studied in an external magnetic field ($B$) applied parallel to the polar axis. A sequence of transitions between the Landau levels (LLs), whose energies are in proportion to $sq
rt{B}$ were observed, being characteristic of massless Dirac electrons. The large separation energy between the LLs makes it possible to detect the strongest cyclotron resonance even at room temperature in moderate fields. Unlike in 2D Dirac systems, the magnetic field induced rearrangement of the conductivity spectrum is directly observed.
The optical magnetoelectric effect, which is an inherent attribute of the spin excitations in multiferroics, drastically changes their optical properties compared to conventional materials where light-matter interaction is expressed only by the diele
ctric permittivity and magnetic permeability. Our polarized absorption experiments performed on multiferroic Ca2CoSi2O7 and Ba2CoGe2O7 in the THz spectral range demonstrate that such magnetoeletric spin excitations show quadrochroism, i.e. they have different colours for all the four combinations of the two propagation directions (forward or backward) and the two orthogonal polarizations of a light beam. We found that quadrochroism can give rise to peculiar optical properties, such as one-way transparency and zero-reflection of these excitations, which can open a new horizon in photonics. One-way transparency is also related to the static magnetoelectric phenomena, hence, these optical studies can provide guidelines for the systematic synthesis of new materials with large dc magnetoelectric effect.
Right- and left-handed circularly polarized light interact differently with electronic charges in chiral materials. This asymmetry generates the natural circular dichroism and gyrotropy, also known as the optical activity. Here we demonstrate that op
tical activity is not a privilege of the electronic charge excitations but it can also emerge for the spin excitations in magnetic matter. The square-lattice antiferromagnet Ba$_2$CoGe$_2$O$_7$ offers an ideal arena to test this idea, since it can be transformed to a chiral form by application of external magnetic fields. As a direct proof of the field-induced chiral state, we observed large optical activity when the light is in resonance with spin excitations at sub-terahertz frequencies. In addition, we found that the magnetochiral effect, the absorption difference for the light beams propagating parallel and anti-parallel to the applied magnetic field, has an exceptionally large amplitude close to 100%. All these features are ascribed to the magnetoelectric nature of spin excitations as they interact both with the electric and magnetic components of light.
