ECE 440 Lectures 22-23: P-N Junction Capacitance and Contacts - Prof. Eric Pop, Study notes of Solid State Physics

The topics of p-n junction capacitance and contacts in ece 440 lectures. It explains why fixed charge is stored in the junction during reverse bias, how the width (w) changes with voltage, and how to determine the doping concentrations of the two sides based on the slope and intercept of 1/cj vs. Voltage. The document also discusses the importance of metals in semiconductor devices and the differences between schottky and ohmic contacts.

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Pre 2010

Uploaded on 03/16/2009

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ECE 440: Lectures 22-23
P-N Junction Capacitance; Contacts
In reverse bias (V<0) fixed charge is stored in the junction,
as the depletion width widens with more negative V. Why?
How does W change with voltage?
W
A
dV
dQ
C
s
J
If I measure and plot 1/CJ2 vs. V, I can get ______________
)(
21
0
2
2
2
J
VV
NqAA
W
C
Ss
Illinois ECE440 Prof. Eric Pop 1
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pf4
pf5

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ECE 440: Lectures 22-

P-N Junction Capacitance; Contacts In reverse bias (V<0) fixed charge is stored in the junction, as the depletion width widens with more negative V. Why? How does W change with voltage?    W A dV dQ C (^) J s  If I measure and plot 1/ CJ 2 vs. V, I can get ______________ ( ) 1 2 2 0 2 2 J V V A Aq N W C (^) s S  ^         

Example: Given the slope (1/CJ) 2 vs. voltage is -2e23 F

  • V - , the intercept is 0.84 V, and the diode area 100x100 μmm 2 . If NA ≫ ND, find the two sides’ doping concentrations.

Another scenario, if Φm < Φs Example: calculate semiconductor work function q Φs if it is silicon doped p-type with NA = 10 17 cm

  • .

Two types of metal-silicon contacts become apparent:

  1. Schottky (rectifying, like a diode)
  2. Ohmic How do you get one vs. the other? A: When would you want one vs. the other? A: Silicon work function: Some typical metal work functions: Metal Er Ti Ni W Mo Pt FM (eV) 3.12 (^) 4.3 4.7 4.6 4.6 5. FBn (eV) 0.44 (^) 0.5 0.61 0.67 0.68 0. FBp (eV) 0.68 (^) 0.61 0.51 0.45 0.42 0.

Ohmic contact on silicon. Two ways to achieve them:

  1. Choose metal with appropriate work function to “match” the Fermi level of p- or n-type silicon
  2. Dope silicon highly, to thin out Schottky barrier, so electrons can tunnel through (almost) regardless of Φm