Determination of $g$-factor in InAs two-dimensional electron system by capacitance spectroscopy

We determine the effective $g$-factor ($\mathrm{\mid }{g}^{\ast }\mathrm{\mid }$) of a two-dimensional electron gas (2DEG) using a new method based on capacitance spectroscopy. The capacitance-voltage profile of a 2DEG in an InAs/AlGaSb quantum well measured in an in-plane magnetic field shows a double-step feature that indicates the Zeeman splitting of the subband edge. The method allows for simultaneous and independent determination of $\mathrm{\mid }{g}^{\ast }\mathrm{\mid }$ and effective mass $m^{\ast }$. Data suggest that the biaxial tensile strain in the InAs layer has considerable impacts on both $m^{\ast }$ and $g^{\ast }$. Our method provides a means to determine $\mathrm{\mid }{g}^{\ast }\mathrm{\mid }$ that is complementary to the commonly used coincidence technique.