High-Frequency Characteristic Fluctuations of Nano-MOSFET Circuit Induced by Random Dopants

As the dimension of semiconductor device shrunk into nanometer scale (nanoscale), characteristic fluctuation is more pronounced, and become crucial for circuit design. In this paper, discrete-dopant-induced characteristic fluctuation of 16-nm-gate metal-oxide-semiconductor field effect transistors (MOSFET) circuit under high-frequency regime is quantitatively studied. The circuit gain, the 3 dB bandwidth and the unity-gain bandwidth of the tested nanoscale transistor circuit are calculated concurrently capturing the discrete-dopant-number- and discrete- dopant-position-induced fluctuations in the large-scale statistically sound ldquoatomisticrdquo device/circuit coupled simulation. For the 16-nm-gate MOSFET circuit, the number of discrete dopants, varying from zero to 14, may result in 5.7% variation of the circuit gain, 14.1% variation of the 3 dB bandwidth, and 10.4% variation of the unity-gain bandwidth. To suppress the high-frequency characteristic fluctuations, an improved doping distribution along the longitudinal diffusion direction from the MOSFET´s surface to substrate is further performed to examine the associated fluctuation. The improved vertical doping profile with less dopants locating near surface of channel effectively reduces the fluctuations of the circuit gain, the 3 dB bandwidth and the unity-gain bandwidth dramatically. Compared with the original doping profile, the reduction is 32.3%, 19.4% and 51.8%, respectively. This study provides an insight into random-dopant-induced intrinsic high-frequency characteristic fluctuations and verifies the potential fluctuation suppression technique on high-frequency characteristic fluctuations of nanoscale transistor circuit.