7.3 Temperature Effects on PN Junctions
In this section we examine the effects of a uniform temperature change on PN
junctions in ZnO rods [3]. Consider a ZnO rod of length 2L as shown in Fig. 7.8.
Both homogeneous and heterogeneous junctions are considered. For a homogeneous
junction, the material is uniform except that the two halves are doped differently. For
a heterogeneous junction, instead of using different materials, we simply reverse the
c-axis of the left half. When the c-axis is reversed, the relevant piezoelectric and
pyroelectric constants change signs. The temperature change θ is uniform. The
problem is static. The rod is stress free and electrically open at both ends.
Fig. 7.6 Nonlinear solution
for potential barrier and well
by COMSOL. (a) θ ¼ 1,
3 and 5 K. (b) θ ¼ 20,
35, and 50 K
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