Coherent Magneto-Optical Effects in Topological Insulators: Excitation Near the Absorption Edge
Abstract
We study coherent optics in topological insulator surface states with broken time-reversal symmetry and develop a theory for the dynamical Hall effect driven by intense electromagnetic field. The influence of optical Stark effect enters as nonlinear dependence on the optical field in the resulting Faraday θF and Kerr θK rotations. This nonlinear correction is found to decrease θF with the strength of the A.C. electric field, whereas θK exhibits a non-monotonic behavior. We also assess the effects of relaxation and dephasing on the Hall and magneto-optical responses when the frequency detuning is comparable to the inverse lifetime of the conduction electrons.
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