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Penn ESE370 Fall2014 -- DeHon 1 ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems Day 12: September 24, 2014 MOS Transistor Details Capacitance
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Last Time Focused on I vs V relationships –Effective resistance –Steady state Penn ESE370 Fall2014 -- DeHon 2
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Today Capacitance –Model refinement Region Example? Penn ESE370 Fall2014 -- DeHon 3
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channel gate srcdrain Capacitance First order: looks like a capacitor Today: –Like resistance, it is not constant –Capacitance not just to gnd (drain) Penn ESE370 Fall2014 -- DeHon 4
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Capacitance Setup Penn ESE370 Fall2014 -- DeHon 5
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Capacitance Claimed looked like a capacitor to ground …but ground isn’t really one of our terminals –Don’t connect directly to it. –…source and body are often at ground… Penn ESE370 Fall2014 -- DeHon 6
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Capacitance Four Terminals How many combinations? –4 things taken 2 at a time? Penn ESE370 Fall2014 -- DeHon 7
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Capacitances GS, GB, GD, SB, DB, SD Penn ESE370 Fall2014 -- DeHon 8
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Moving Plates? What is distance from gate to conductor? –Depletion? –Strong Inversion? Penn ESE370 Fall2014 -- DeHon 9
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Capacitance Decomposition Penn ESE370 Fall2014 -- DeHon 10
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Overlap What is the capacitive implication of gate/src and gate/drain overlap? Penn ESE370 Fall2014 -- DeHon 11
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Overlap Length of overlap? Penn ESE370 Fall2014 -- DeHon 12
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Overlap Capacitance Penn ESE370 Fall2014 -- DeHon 13
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Overlap Capacitance Penn ESE370 Fall2014 -- DeHon 14
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Capacitance in Strong Inversion (easy case) Looks like parallel plate Gate – Channel –What is C GC ? –What is C GB ? Penn ESE370 Fall2014 -- DeHon 15
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Capacitance in Strong Inversion Looks like parallel plate Gate – Channel –C GC –C GB =0 Penn ESE370 Fall2014 -- DeHon 16
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Capacitance in Strong Inversion But channel isn’t a terminal –Split evenly with source and drain Penn ESE370 Fall2014 -- DeHon 17
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Capacitance in Strong Inversion Add in Overlap capacitance Penn ESE370 Fall2014 -- DeHon 18
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Channel Evolution Subthreshold Penn ESE370 Fall2014 -- DeHon 19
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Capacitance Depletion What happens to capacitance here? –Capacitor plate distance? Penn ESE370 Fall2014 -- DeHon 20
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Capacitance Depletion Capacitance becomes Gate-Body Capacitance drops as Vgs increases toward Vth Penn ESE370 Fall2014 -- DeHon 21
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Capacitance vs V GS Penn ESE370 Fall2014 -- DeHon 22 C GC C GCS = C GCD C GCB WLC OX 0.5WLC OX
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Saturation Capacitance? Penn ESE370 Fall2014 -- DeHon 23
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Saturation Capacitance? Penn ESE370 Fall2014 -- DeHon 24 Source end of channel in inversion Destination end of channel at or below threshold Capacitance shifts to source –Total capacitance reduced
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Saturation Capacitance Penn ESE370 Fall2014 -- DeHon 25 C GC C GCS C GCD V DS /(V GS -V T ) (2/3)WLC OX WLC OX 0.5WLC OX 01
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Contact Capacitance Penn ESE370 Fall2014 -- DeHon 26
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Contact Capacitance n + contacts are formed by doping = diffusion Depletion under contact –Contact-Body capacitance Depletion around perimeter of contact –Also contact-Body capacitance Penn ESE370 Fall2014 -- DeHon 27
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Contact/Diffusion Capacitance C j – diffusion depletion C jsw – sidewall capacitance L S – length of diffusion Penn ESE370 Fall2014 -- DeHon 28 LSLS
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Capacitance Roundup C GS =C GCS +C O C GD =C GCD +C O C GB =C GCB C SB =C diff C DB =C diff Penn ESE370 Fall2014 -- DeHon 29
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One Implication Penn ESE370 Fall2014 -- DeHon 30
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Step Response? Penn ESE370 Fall2014 -- DeHon 31
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Step Response Penn ESE370 Fall2014 -- DeHon 32
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Impact of C GD What does C GD do to the switching response here? –V2 –Vout Penn ESE370 Fall2014 -- DeHon 33
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Impact of C GD Penn ESE370 Fall2014 -- DeHon 34
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Idea Capacitance –To every terminal –Voltage dependent Penn ESE370 Fall2014 -- DeHon 35 C GC C GCS C GCB
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Approach Identify Region Drives governing equations Use to understand operation Penn ESE370 Fall2014 -- DeHon 36
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Admin HW4 due Thursday Make sure read 3.3 Lecture Friday Midterm 1 on Monday –Ron review on Sunday –No lecture at noon – André office hour –Exam 7-9pm (Towne 303) Penn ESE370 Fall2014 -- DeHon 37
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