
6 Semiconductor Device-Based Sensors for Gas, Chemical, and Biomedical Applications
© 2011 by Taylor & Francis Group, LLC
depletes and the current channel is pinched off. The drain current in the nonsaturated region (below
pinch-off) is
I U U U U
D ref T DS DS
= ⋅ − − ⋅β
1
2
, (1.1)
where β is a parameter depending on the geometry (the channel width to length ratio W/L), the
mobility µ of the electrons in the 2DEG, and the gate insulator capacitance per unit area C
ox
:
e
Q Q Q
C
T ref o sol
AlGaN SS ox B
ox
F
= − + − −
+ +
+Ψ Χ Φ
φ
2 . (1.2)
In the case of an ISFET, the gate voltage is the voltage at the reference electrode U
ref
= U
GS
. The
threshold vol