The spin effect on accumulation of the electron density profile in the presence of an external magnetic field is investigated. In this regard, the two-fluid quantum hydrodynamic model is used to derive the interaction of intense laser light with magnetized quantum plasma. The results emphasize that the initial laser intensity and external magnetic field play significant roles in the accumulation of electron density. Moreover, the behavior of spin-up and spin-down electrons in the same spatial position is completely different. In a way, where spin-up electrons accumulate, spin-down electron density is rarefied. This fact provides a useful recipe for spintronics applications.

The effects of the non-linearity of the medium on the growth rate of filamentation instability in a magnetized plasma interacting with an intense laser pulse, is investigated. The non-linearity of the medium, modeled by Kerr non-linearity, is an important factor, which determines the rate of instability growth. Sensitivity of the rate of filamentation growth, to the Kerr non-linear coefficient could be adjusted by the external magnetic field and laser intensity.

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