We present a theoretical explanation of the interfacial component in the gate resistance of Schottky-barriergate field-effect transistors ͑SBGFETs͒. This component was recently established and was found, for GaAsand InP-based SBGFETs, to have the smallest practically achievable normalized value r gi on the order of 10 Ϫ7 ⍀ cm 2 . We show that r gi in this range can be modeled as an ac tunneling resistance r IT between the three-dimensional ͑3D͒ gate metal and the 2D semiconductor surfaces states. We extend Cowley and Sze's static Schottky-barrier lineup model to include high-frequency modulation of the surface-state occupation by an ac gate voltage. We find that, since r IT is not simply a dc resistance in series with the standard parasitic gate resistance, the resulting experimentally observed r gi is smaller by an amount that depends on the interfacial layer and surface-state density. However, for the typically observed values, r gi acts like a series resistance up to presently attainable frequencies. Thus, while Cowley and Sze's phenomenological ''interfacial layer of the order of atomic dimensions'' is more or less ''transparent to electrons,'' it presents a resistance that cannot be ignored at microwave and millimeter-wave frequencies. We apply our theory using interfacial-layer parameter values corresponding to alternative models for Schottky-barrier formation, and compare the predictions to experimental observations. Our results are consistent with models that involve defects near the semiconductormetal interface. ͓S0163-1829͑99͒10119-X͔