Abstruct-A new method for drain saturation voltage extraction in submicron MOSFETs is presented. It is based bn measurements of the partial derivative of the impact ionization rate. The method has been tested using different channel length MOSFET devices and compared with others methods.
I.INIRODUCTIONrain saturation voltage Vdm is an important D parameter in MOSFET modelling and process control. The existing method for V&, versus the gate voltage Yg extraction can be divided into two categories. The first [1,2], is based' on Id-Vd plotted curves where Id is the drain cumnt and Vd is the drain voltage and the second [3,4], is based on the unique dependence (Vd-Vdd of the ratio (Isub/Iq where Isub represent the substrate current. In this letter a new technique for an accurate determination of drain saturation voltage can be classed with the second methods, and give directly the continuou Vd,,(V@ characteristics.
U.THEORYGenerally, according to the lucky electron model [5], since the impact ionization rate is proportional to exp[-B/(Vd-Vd,,J], where B is a constant and (Vd-Vd& is proportional to the drain field. In the literature [6], we found one of the follows expressions of the ratio Isub/Id
Isub/Id = A exp[-B/(Vd-Vd&(1)
Or
Isub/Id = A '(Vd-Vdd exp[-BY(Vd-VdJ(2) Where A', A, B' and B are constants. B' and B have a voltage dimension and are function of the carrier mean free path, and of the length pinchsff region. We note that (I) and (2) are all dependants on the difference (Vd-Vdd. We pose X(Vg,Vd) = Vd-Vdmt and Y(Vg Vd) = hb/Id, the ratio of partial derivative Y on Wand Vg can be calculated as : The characteristic Vd, (v@ is also obtained by the following integral : dY avd m. RESULTS AND DISCUSSION The previous analysis is applied at room temperature on the N Channel CNET MOSFET devices, with channel width Wis 50 pm and channel lengths are (L = 0.9,1.5 and 10 pm) the Light Doped Drain Region (LDD) doping is 5.10J3/ cm3, the channel doping Nu ranging between 1OJSandldb/cm3, the oxide thickness tm is 25 nm The method is also compared to the Chan et a1 method [3]. 0.0 0.S 1,0 1.5 2.0 2.5 3.0 3,s vs (V) Fig.1 Vd, versus Vg characteristics for three different Channel lengths. (L = 0.9, 1.5 and lOpm).The figure 1 shows Vdw (V& characteristics for three different channel lengths (0.9, 1.5 and 10 pm) . The 63