373
Bipolar Junction Transistor Compact Models
The basic BJT structure in Figure 11.1b shows that the BJTs also include a
number of parasitic elements that must be accurately modeled in compact
BJT models. The basic BJT structure has base resistance, r b , mainly from the
base contact to active area,  a collector resistance, r c (predominantly due to
n- epitaxial layer as shown in Figure 11.1c), and an emitter resistance, r e (typically,
negligibly small). The n+ emitter and p-base junction includes an emitter-base
(EB) junction capacitance (C jE ). The n− collector region adjacent to the base
also includes a collector-base (CB) junction capacitance, C jC . The advantages of
the n-layer include a reduction in C jC , an improvement in the CB breakdown
(a)
E
n+
n+
p
n −
B
C
(b)
Intrinsic
device
Cutline to obtain
1D doping profile
n-epi
n+
n+
p+
n+
p+
npn-BJT
p–Substrate
p
Contacts
(c)
1.E+21
1.E+20
1.E+19
1.E+18
1.E+17
1.E+16
1.E+15
0.0 0.1 0.2 0.3 0.4
Depth (μm)
0.5 0.6 0.7 0.8
n+ emitter
n+ buried
layer
n− collector
p-type base
Concentration (cm
−3
)
FIGURE 11.1
Basic feature of an npn-BJT: (a) an ideal structure showing an n+ emitter (E), a p-base (B), and
n-n+ collector (C) regions; (b) 2D-cross section of a typical vertical npn-BJT used in ICs and (c)
1D doping profile along the cutline through the intrinsic device.
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