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We report numerical simulation result of a recently proposed \{P. Bruno,Phys. Rev. Lett {\bf 79}, 4593, (1997)\} approach to perform magnetic scanningtunneling microscopy with a two terminal non-magnetic tip. It is based upon thespin asymmetry effect of the tunneling current between a ferromagnetic surfaceand a two-terminal non-magnetic tip. The spin asymmetry effect is due to thespin-orbit scattering in the tip. The effect can be viewed as a Mott scatteringof tunneling electrons within the tip. To obtain quantitative results weperform numerical simulation within the single band tight binding model, usingrecursive Green function method and Landauer-B\"uttiker formula forconductance. A new model has been developed to take into account the spin-orbitscattering off the impurities within the single-band tight-binding model. Weshow that the spin-asymmetry effect is most prominent when the device is inquasi-ballistic regime and the typical value of spin asymmetry is about 5%.Comment: 5 pages, Late

Magnetic scanning tunneling microscopy with a two-terminal nonmagnetic tip: Quantitative results