Es. Kang et al., Nondestructive one-dimensional scanning capacitance microscope dopant profile determination method and its application to three-dimensional dopant profiles, J VAC SCI A, 18(4), 2000, pp. 1338-1344
In this article, we present a new one-dimensional (1D) dopant profile deter
mination method, which extends to the quantitative three-dimensional (3D) d
opant profile extraction. This nondestructive method, which is different fr
om the common scanning capacitance microscopy (SCM) measurement/dopant extr
action, can potentially measure real metal-oxide-semiconductor field-effect
transistor devices having 3D structure. Through SCM modeling, we found tha
t the depletion layer in silicon was of a form of a spherical capacitor wit
h the SCM tip biased. Two-dimensional (2D) finite differential method code
with a successive over relaxation (SOR) solver has been developed to model
the measurements by SCM of a semiconductor wafer that contains an ion-impla
nted impurity region. Then, we theoretically analyzed the spherical capacit
or and determined the total depleted-volume charge Q, capacitance C, and th
e rate of capacitance change with bias dC/dV. It is very important to obser
ve the depleted carriers' movement in the silicon layer by applying the bia
s to the tip. So, we calculated the depleted-volume charge, considering dif
ferent factors such as tip size, oxide thickness, and applied bias (dc + ac
), which have an influence on potential and depletion charges. Finally, we
developed a 1D inversion algorithm to convert the SCM output (dC/dV) into r
eal dopant concentration, comparing the SCM signal output with the calculat
ed dC/dV. Using the inversion modeling, we have quantitatively extracted th
e 1D dopant profile from the SCM dC/dV vs V curves. (C) 2000 American Vacuu
m Society. [S0734-2101(00)15504-6].