The effects of implantation on threshold voltage for a p-type substrate are reviewed. The I-V characteristics of an n-channel device are considered for a rectangular impurity profile and the model shown to agree with practical measurements.
Van de Wiele, F., Demoulin, E., Sinon, R., & Gilles, C. (1977). [Models for implanted MOS transistors]. Modelling Semiconductor Devices, p. 325-338. https://hdl.handle.net/2078.5/221646