I. Lubomirsky et D. Cahen, Do dopant diffusion and drift decide semiconductor device degradation and dimension Limits?, SOL ST ION, 136, 2000, pp. 559-565
We explore chemical and physical limits to semiconductor device miniaturiza
tion. Minimal sizes for space charge-based devices can be estimated from De
bye screening lengths of the materials used. Because a doped semiconductor
can be viewed as a mixed electronic-ionic conductor, with the dopants as mo
bile ions, dopant intermixing across a p/n junction presents a chemical lim
it. Given a desired lifetime, simple relations can be derived between size
and dopant intermixing for reverse- or forward-biased devices. Mostly, cond
itions for significant dopant mobility are far from those where the materia
l is used. Thus, it is generally held that elemental and III-V-based p-n ju
nctions are immune to this problem and persist because of kinetic stability
. Indeed, we find this to be so for Si in the foreseeable future, but not f
or III-V- and II-VI-based ones. The limitation is more severe in structures
with very thin undoped layers sandwiched between doped ones or vice versa,
where even 1% intermixing can be critical. This decreases lifetime nearly
100 times. For example, for structures containing a 10 nm critical dimensio
n, none of the components can have an average diffusion coefficient higher
than 10(-24) cm(2)/s for a 3 year lifetime. Ways to overcome or mitigate th
is limitation are indicated. (C) 2000 Elsevier Science B.V. All rights rese
rved.