Analysis of direct tunneling for thin SiO2 film by Wentzel, Kramers, Brillouin method––considering tail of distribution function

Abstract The mechanism of direct tunneling (DT) for electron emission from the n-type Si substrates to the thin SiO 2 film is examined analytically using the Wentzel, Kramers, Brillouin method with a consideration of the Fermi–Dirac distribution function for electrons at room temperature. The calculated DT currents reproduced the measured data more precisely than those without a consideration of the distribution function at room temperature particularly in the low voltages.