3.1.9 Body Doping and Gate Workfunction

$NBODY = NBODY_i \qquad (3.192)$

$q_{bs} = q \cdot NBODY_i \cdot \dfrac{ACH}{CINS} \qquad (3.193)$

If $NGATE_i > 0$ then,

$\Delta \phi = max \Big[ \dfrac{E_g}{2} - \dfrac{kT}{q} \cdot ln \Big( \dfrac{NGATE_i}{n_i} \Big), 0 \Big] \qquad (3.194)$

else

$\Delta \phi = \begin{cases} PHIG[L, N] - EASUB &\text{for NMOS} \\ -\Big[ PHIG[L, N] - \Big( EASUB + E_g \Big) \Big] &\text{for PMOS} \end{cases} \qquad (3.195)$

$\phi_B = \dfrac{kT}{q} \cdot ln \Big( \dfrac{NBODY_i}{n_i} \Big) \qquad (3.196)$

$\phi_{SD} = min \Big[ \dfrac{E_g}{2}, \dfrac{kT}{q} \cdot ln \Big( \dfrac{NSD_i}{n_i} \Big) \Big] \qquad (3.197)$

$\phi_G = \dfrac{kT}{q} \cdot ln \Big( \dfrac{NGATE}{n_i} \Big) \qquad (3.198)$

If $NGATE_i > 0$ then,

$V_{fbsd} = \begin{cases} \phi_{SD} - \phi_G &\text{for NMOS} \\ -\Big[ -\phi_{SD} - \phi_G \Big] &\text{for PMOS} \end{cases} \qquad (3.199)$

else

$V_{fbsd} = \begin{cases} PHIG[L, N] - \Big( EASUB + \dfrac{E_g}{2} - \phi_{SD} \Big) &\text{for NMOS} \\ - \Big[ PHIG[L, N] - \Big( EASUB + \dfrac{E_g}{2} + \phi_{SD} \Big) \Big] &\text{for PMOS} \end{cases} \qquad (3.200)$

$t_{ox} = \begin{cases} \dfrac{EOT \cdot \epsilon_{ox}}{3.9} &\text{if GEOMOD} \ne 3 \\ R \cdot \Big[ exp \Big( \dfrac{EOT \cdot \epsilon_{ox}}{3.9} \Big) - 1 \Big] &\text{if GEOMOD = 3} \end{cases} \qquad (3.201)$

$q_{bs} = \begin{cases} \dfrac{q \cdot NBODY_i \cdot TFIN}{2 \cdot C_{ox}} &\text{if GEOMOD} \ne 3 \\ \\ \dfrac{q \cdot NBODY_i \cdot R}{2 \cdot C_{ox}} &\text{if GEOMOD = 3} \end{cases} \qquad (3.202)$