In this work, we are using a gated Hall method for measurement of free carrier density and electron mobility in buried InGaAs quantum well metal-oxide-semiconductor field-effect-transistor channels. At room temperature, mobility over 8000 cm²/Vs is observed at s1.4 c 1012 cm-2. Temperature dependence of the electron mobility gives the evidence that remote Coulomb scattering dominates at electron density <2 c 1011 cm-2. Spectrum of the interface/border traps is quantified from comparison of Hall data with capacitance-voltage measurements or electrostatic modeling. Above the threshold voltage, gate control is strongly limited by fast traps that cannot be distinguished from free channel carriers just by capacitance-based methods and can be the reason for significant overestimation of channel density and underestimation of carrier mobility from transistor measurements. [ABSTRACT FROM AUTHOR]