Fig. 2: Electronic structure and magneto-optical conductivity of 3Q noncoplanar antiferromagnets.
From: Topological magneto-optical effects and their quantization in noncoplanar antiferromagnets
a Band structure of the 3D fcc lattice (\(J/t=1.0\)). b Magneto-optical conductivity of the 3D fcc lattice (\(\eta =0.1t\)). Up and down panels show the real and imaginary parts with different \(\delta\), respectively. c Both \({\sigma }_{xy}^{{\rm{R}}}(\omega )\) (taking \(\omega =0\) as an example) and \(B\) are proportional to \(\delta\), verifying that \({\sigma }_{xy}(\omega )\propto B\). d Band structure and anomalous Hall conductivity of the 2D triangular lattice. e Magneto-optical conductivity of the 2D triangular lattice (\(\eta =0.1t\)). The Fermi energy corresponds to the 3/4 band filling. f The enlarged low-frequency region of \({\sigma }_{xy}^{{\rm{R}}}\). The dashed vertical lines mark the band gaps at 3/4 filling (\({E}_{{\rm{g}}}\)). The shaded area marks the low-frequency limit (\(\hslash \omega \ll {E}_{{\rm{g}}}\)) in which the quantum topological magneto-optical effects arise.
