Canali Velocity Saturation

Model

Below example would be used for velocity saturation along the channel of a MOSFET where "y" is the channel direction.

proc mobility.canali { $Emob_low $Hmob_low } {
    set vsatn 1.07e7
    set vsatp 8.37e6
    set Emob_Canali "$Emob_low / (sqrt(1 + ($Emob_low*abs(dot(DevPsi,y*1.0e-4)) / $vsatn)^2))"
    set Hmob_Canali "$Hmob_low / (sqrt(1 + ($Hmob_low*abs(dot(DevPsi,y*1.0e-4)) / $vsatp)^2))"
}

or, with different exponents,

proc mobility.canali { $Emob_low $Hmob_low } {
    set vsatn 1.07e7
    set vsatp 8.37e6
    set Emob_Canali "$Emob_low / ((1 + ($Emob_low*abs(dot(DevPsi,y*1.0e-4)) / $vsatn)^(1.109))^(1.0/1.109))"
    set Hmob_Canali "$Hmob_low / ((1 + ($Hmob_low*abs(dot(DevPsi,y*1.0e-4)) / $vsatp)^(1.213))^(1.0/1.213))"
}

Notes

Reference: C. Canali et al., (1975). "Electron and Hole Drift Velocity Measurements in Silicon and Their Empirical Relation to Electric Field and Temperature," IEEE Transactions on Electron Devices, vol. ED-22, no. 11, pp. 1045-1047.

INPUTS Required

1. mob_low - low field mobility

OUTPUT Terms

1. Emob_Canali - Electron Mobility

2. Hmob_Canali - Hole Mobility