Solid-State Electronics, Vol.69, 38-42, 2012
Exact extraction method of trap densities at insulator interfaces using quasi-static capacitance-voltage characteristics and numerical solutions of physical equations
An exact extraction method of trap densities at insulator interfaces (D-it) has been developed using quasi-static capacitance-voltage (C-V) characteristics and numerical solutions of physical equations. First, the surface potential (phi(s)) is calculated from the C-V characteristic by applying Q = CV to the insulator. Next, the flat-band voltage (V-fb) is determined by utilizing the fact that the total change of phi(s) is equal to the bandgap energy (E-g). Subsequently, the electric potential (phi), electron density (n), and hole density (p) are calculated in the entire semiconductor by numerically solving the Poisson equation and carrier density equations so that the calculated surface potential (phi'(s)) is equal to the measured phi(s). Finally, D-it, is extracted by applying Gauss's law to the insulator interface. D-it at an interface between a SiNx film deposited at low temperature and a Si wafer is extracted as an example. (c) 2011 Elsevier Ltd. All rights reserved.
Keywords:Exact extraction method;Trap density;Insulator interface;Quasi-static capacitance-voltage (C-V) characteristic;Numerical solution;Physical equation