Fig. 1. The schematic illustration of magneto-optical transmission measurement setup in Faraday geometry. Here，the electric field intensity of the incident light is EXi，which is vertically incident on the sample surface along the z direction and polarized along the x axis through the optical polarizer. The external magnetic field B is applied along the z-axis direction （perpendicular to the sample surface）. The electric field strengths of the light beam transmitted through the sample along different polarization directions （EXP and EyP） are examined by a linear polarizer

Fig. 2. （a） X-Ray Diffraction （XRD） spectrum，（b） Raman spectra excited by 266 nm and 785 nm wavelength laser radiations and （c） FTIR spectrum for the N-D sample

Fig. 3. The strength of THz electric field transmitted through the N-D sample at polarization angles -45º and +45º as a function of delay time for different magnetic fields as indicated at a temperature of 80 K

Fig. 4. The amplitude and phase angle of the THz electric field transmitted through the N-D sample as a function of radiation frequency f=ω∕2π at different magnetic fields as indicated. Here，the results obtained by taking the polarization angles -45º and +45º are shown respectively by solid curves and dotted curves. The phase angles at different magnetic fields and polarization angles coincide roughly

Fig. 5. （a） Faraday rotation angles θ（ω） and the real part of Hall MO conductivity and （b） Faraday ellipticity η（ω） and the imaginary part of Hall MO conductivity as a function of radiation frequency f=ɷ/2π at different magnetic field from 0 to 8 T at 80 K. Here，σ₀=2cε₀=0.0053 S/m

Fig. 6. （a） Left-handed complex dielectric constant ε_l（ω）（solid curve） and （b） right-handed complex dielectric constant ε_r（ω） （dotted curve） as a function of radiation frequency f=ɷ/2π at different magnetic field 0 and 8 T at 80 K