An asymmetric insulated-gate field effect transistor (100U or 102U) is provided along an upper surface of a semiconductor body so as to have first and second source/drain zones (240 and 242 or 280 and 282) laterally separated by a channel zone (244 or 284) of the transistor's body material. A gate electrode (262 or 302) overlies a gate dielectric layer (260 or 300) above the channel zone. A pocket portion (250 or 290) of the body material more heavily doped than laterally adjacent material of the body material extends along largely only the first of the S/D zones and into the channel zone. The vertical dopant profile of the pocket portion is tailored to reach a plurality of local maxima at respective locations (PH-1-PH-3-NH-3) spaced apart from one another. This typically enables the transistor to have reduced current leakage.