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The spin polarization (P) of high-density InSb two-dimensional electronsystems (2DESs) has been measured using both parallel and tilted magneticfields. P is found to exhibit a superlinear increase with the total field B.This P-B nonlinearity results in a difference in spin susceptibility betweenits real value Xs and Xgm ~ m*g*(m* and g* are the effective mass and g factor,respectively) as routinely used in experiments. We demonstrate that such a P-Bnonlinearity originates from the linearly P-dependent g* due to the exchangecoupling of electrons rather than from the electron correlation as predictedfor the low-density 2DES.

Nonlinear magnetic field dependence of spin polarization in high density two-dimensional electron systems