Information Technology Reference
In-Depth Information
Modelling Techniques
for Simulating Large QCA Circuits
B
Faizal Karim
(
)
and Konrad Walus
The University of British Columbia, Vancouver, BC, Canada
faizalk@ece.ubc.ca
1
Introduction
In the past several years, incredible advances in the availability of nano fabri-
cation processes have been witnessed, and have demonstrated molecular-scale
production beyond the usable limit for CMOS process technology [
1
-
3
]. This
has led to the research and early development of a wide-range of novel comput-
ing paradigms at the nanoscale; amongst them, quantum dot cellular automata
(QCA) [
4
]. QCA is a nanoelectronic computing paradigm in which an array of
cells, each electrostatically interacting with its neighbors, is employed in a locally
interconnected manner to implement general purpose digital circuits [
4
]. Several
proof-of-concept QCA devices have been fabricated using silicon-on-insulator
(SOI) [
5
], metallic island devices operating in the Coulomb blockade regime
[
6
-
12
], and nano-magnetics [
13
-
18
]. In recent years, research into implementing
these devices using single molecules has also begun to generate significant inter-
est [
1
,
19
-
25
], and most recently, it was demonstrated that silicon atom dangling
bonds (DBs), on an otherwise hydrogen terminated silicon crystal surface, can
serve as quantum dots [
1
].
Research into QCA has been motivated by the potential of reaching the
limits to physical scaling, as well as the predictions of ultra low power consump-
tion, a major problem in the industry [
4
,
11
,
20
,
26
-
28
]. It has been reported
that molecular and atomic implementations can achieve device densities on the
order of 10
14
/cm
2
(for 1 nm
2
devices) [
29
]. The power dissipated from current-
switched devices such as FETs operating at GHz speeds could melt the chip
at those densities [
30
], however, molecular QCA has been predicted to reduce
the power dissipation by several orders of magnitude [
26
,
31
]. Additionally, as
the size of the cells gets smaller, the interaction energies between cells increases.
At the molecular (and atomic) scale, these energies are expected to be in the
0.2-0.5 eV range [
1
,
4
,
32
,
33
] which allow for room temperature operation since
these energies are greater than the thermal ambient energy (i.e, thermal noise),
k
B
T
(
25 meV at room temperature), where
k
B
is Boltzmann's constant and
T
is the temperature in kelvin (
T
= 293 K at room temperature). However, while
the development of such devices is promising, a number of technical challenges,
including choice of molecules [
19
,
25
], the design of proper interfacing mecha-
nisms [
34
], and clocking technology [
35
,
36
] - amongst other things - remain to
∗
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