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. 2016 Jul 20;7:12245. doi: 10.1038/ncomms12245

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(a) Schematics of the TI film with magnetic modulation doping and of the band structure of surface states under the presence of time-reversal-symmetry breaking magnetization. (b) Temperature dependence of the longitudinal (σ_xx) and Hall (σ_xy) conductances at B=0.1 T. (c) Magnetic field dependence of σ_xy at various temperatures. (d) Schematics of the THz magneto-optics for the magnetic TI film on an InP substrate. Crossed-Nicol geometry was employed for the detection of the magneto-optical rotation of light polarization. Faraday and Kerr rotations are measured by the first THz pulse (i) and the second THz pulse (ii), respectively. (e) Time evolutions of THz pulses through the magnetic TI film at 0 T after the poling of magnetic moment. (See Methods for detail.) E_x and E_y are transmitted light polarized parallel and perpendicular to the incident light, respectively. The first pulse (i) represents the directly transmitted light through the TI film and substrate, while the THz pulse once reflected at back surface of substrate appears as the second pulse (ii) with a time delay. E_y component of the second pulse includes the Kerr rotation θ_K at back-surface of TI film as well as the Faraday rotation θ_F.