Digital electronics power consumption evolved into a major concern: at the current pace, generalpurpose computing energy consumption will exceed global energy production before 2045. The principal approach to curbing energy consumption in digital applications calls for "steep-slope" devices with an inverse subthreshold slope (SS) parameter well below the "ln(10)•kT /q" limit of conventional electronics ( 60mV/dec at 300 K). Impact ionization MOSFETs (I-MOS) provide an avenue for steepslope device realization. High-mobility narrow gap III-V semiconductor channel materials have not yet been investigated for I-MOS applications. We hereby report E-mode narrow bandgap GaInAs-based I-MOS devices with an SS of 1.25 mV/dec maintained over five orders of magnitude in drain current and I ON /I OFF ratios >10 6 at 300 K (>10 9 at 15 K) for a gate length of L G = 100 nm. Part I of this work focuses on the materials and device fabrication and analysis, device dc characterization, and modeling. The present GaInAs devices are the first I-MOS transistors to display a robust steep-slope effect at low voltages V DS < 1.9 V at 300 K and <1 V at 15 K. Part II describes the dynamic switching (including clarifications on the role of hysteresis) and RF characteristics of GaInAs I-MOS devices and benchmarks them with respect to other steep-slope technologies.