Lf. Mao et al., The effect of image potential on electron transmission and electric current in the direct tunneling regime of ultra-thin MOS structures, MICROEL REL, 41(6), 2001, pp. 927-931
The direct tunneling current through ultra thin gate dielectrics is modeled
by calculating the transmission coefficient of an idealized potential barr
ier that is modified by the image force. A numerical solution to the Schrod
inger equation shows that the barrier lowering induced by image-potential a
ffects the tunneling current largely. An analytical expression for the curr
ent is obtained within the Wentel-Kramers-Brillouin approximation. The effe
cts of image force on the direct tunneling current are found to increase wi
th the applied voltage across oxide (V-ox) and to decrease with the oxide t
hickness (T-ox). (C) 2001 Elsevier Science Ltd. All rights reserved.