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We show that, under the effect of an external magnetic field, a photogalvaniceffect and the generation of second harmonic wave can be induced ininversion-symmetric and time reversal invariant Dirac semimetals. The mechanismresponsible of these non linear optical responses is the magnetochiral effect.The origin of this magnetochiral effect is the band bending of the dispersionrelation in real Dirac semimetals. Some observable consequences of thisphenomenon are the appearance of a dc current on the surface of the system whenit is irradiated with linearly polarized light or a rotation of thepolarization plane of the reflected second harmonic wave.

Magnetic field-Induced Nonlinear Optical Responses in Inversion Symmetric Dirac Semimetals