... why should S-oriented device have higher vt?, as both need same voltage(Vgs) to form inversion layer.
This is not correct, sorry: The threshold voltage Vt of a MOSFET doesn't depend only on the gate control, but additionally on bulk control (which in this case is the well) - called the
body-effect.
The body-effect is modeled by use of the
bulk threshold parameter γ (gamma) [Allen/Holberg] or
body-effect factor [Binkley] or
body-effect coefficient [Razavi].
γ contains
Nsub, the dopant concentration of the MOSFET's body (which in this case is the well). Close to the well-edge, the MOSFET's body's dopant concentration Nsub is graded (decreases away from the well-edge), hence
γ decreases (with the root of
Nsub) and so Vt also decreases in that direction.
See the cited books below!
Again as mentioned in the ref. paper, for large values of Vgs, Ids of S-oriented devices becomes greater than that of D-oriented devices.
Yes, and this is quite well explained in the text beginning at p.3 of the ref. paper.
what is the meaning of lateral electric field?
It (aditionally to the normal Vds)
accelerates the pMOS' majority charge carriers (holes) ->
higher gm
and why it is formed for S-oriented devices?
It is formed for any orientation. The electric field decreases laterally away from the well-edge (i.e. the E-field vector points into the direction of the well-edge, which means a more positive field strength at the well-edge). For S-oriented devices, this means the pMOS' majority charge carriers (holes) will be
accelerated (additionally to the effect of Vds).
what about D-oriented devices?
Here, the current flow is reverse: The holes (positively charged) flowing from S to D must run against a positive drift potential (in direction of the well-edge, reversely superimposed onto the normal Vds accelerating field), thus will be
decelerated ->
lower gm
Is their any equation for Vt that mathematically proves difference in vt for these devices?
See here:
[Allen/Holberg] "CMOS Analog Circuit Design", Chap. 3.1 Simple MOS Large-Signal Model, equ. (3.1-3), p.74
David M.
[Binkley] "Tradeoffs and Optimization in Analog CMOS Design", Chap. 3.11.1.4 Calculating gate–source voltage and drain current mismatch, equ. (3.144), p.241
Behad
[Razavi] "Design of Analog CMOS Integrated Circuits", Chap. 2.3 Second-Order Effects, equ. (2.22), p.24
And also can you please elaborate bit more on the first sentence of your reply.
Guess this should be clear now from the explanation above!?