IEEE ELECTRON DEVICE LETTERS, VOL. 29, NO. 3, MARCH 2008 259
Accurate Estimation of Low (< 10
−8
Ω · cm
2
) Values
of Specific Contact Resistivity
Madhu Bhaskaran, Student Member, IEEE, Sharath Sriram, Student Member, IEEE, and Anthony S. Holland
Abstract—Advancements in nanotechnology have created the
need for efficient means of communication of electrical signals
to nanostructures, which can be addressed using low resistance
contacts. In order to study and estimate the resistance of such con-
tacts or the resistance posed by the interface(s) in such contacts,
accurate test structures and evaluation techniques need to be used.
The resistance posed by an interface is quantified using its specific
contact resistivity (SCR), and although multiple techniques have
been utilized, inaccuracies of such techniques in measuring values
of SCR lesser than 10
−8
Ω · cm
2
have been reported. In this
letter, an approach for estimating very low values of SCR (lower
than the previously limiting 10
−8
Ω · cm
2
) using a cross Kelvin
resistor test structure is demonstrated using aluminum to titanium
silicide ohmic contacts, with a minimum estimated SCR value of
6.0 × 10
−10
Ω · cm
2
.
Index Terms—Contact resistance, cross Kelvin resistor (CKR),
specific contact resistivity (SCR).
I. I NTRODUCTION
A
DVANCEMENTS in nanotechnology have created the
need for efficient means of communication of electrical
signals to nanostructures [1]. Electrical contacts made to such
nanodevices need to pose minimum possible contact resistance.
In order to study and estimate the resistance of such contacts
or the resistance posed by the interface(s) in such contacts,
accurate test structures and evaluation techniques need to be
used. These will pave the way to the identification of new
materials and/or contact architectures to develop nanoscale low
resistance contacts.
The resistance posed by an interface is quantified using its
specific contact resistivity (SCR), which is denoted using ρ
c
(in
ohm square centimeters) [2], and multiple techniques have been
utilized in measuring SCR values. Cross Kelvin resistor (CKR)
test structures were shown to be suitable for the measurement of
low values of SCR, but the use of cumbersome error correction
curves to estimate the value of SCR and inherent inaccuracies
in the technique served as deterrents from the widespread use
of this estimation technique [3]–[6]. Using a combination of
analytical calculations and finite element modeling, a simplified
approach to this problem of SCR estimation using the CKR test
structures with varying contact sizes has been developed by the
authors of this letter [7]. This letter demonstrates the accuracy
Manuscript received October 29, 2007; revised December 4, 2007. The
review of this letter was arranged by Editor K. De Meyer.
The authors are with the Microelectronics and Materials Technology
Centre, School of Electrical and Computer Engineering, RMIT University,
Melbourne, Vic. 3001, Australia (e-mail: madhu.bhaskaran@gmail.com).
Color versions of one or more of the figures in this letter are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/LED.2007.915378
Fig. 1. Schematic of a CKR test structure. Notations used in the manuscript
are denoted.
of this technique in estimating SCR lower than the previously
limiting values of 10
−8
to 10
−7
Ω · cm
2
.
The accurate evaluation of low values of SCR (related to low
values of contact resistance) will be demonstrated using two-
layer ohmic contacts with aluminum and titanium silicide thin
films. Although these ohmic contacts have been characterized
before [8], they remain one of the very few ohmic contacts for
which very low (< 10
−8
Ω · cm
2
) values of SCR have been
reported.
II. CKR TEST STRUCTURE
The CKR test structure [9]–[11], as shown in Fig. 1, consists
of two “L”-shaped regions (of width w), consisting of the two
materials of interest, which, in this case, are aluminum (upper
“L”) and titanium silicide (lower “L”). For contact resistance
estimation, the CKR test structures using contacts of defined
areas (circular or square contacts with diameter or side d,
respectively) are used; achieved by defining the contact in an
intermediate insulator layer, as shown in Fig. 1.
The value of resistance measured from the two voltage
taps of the CKR is the Kelvin resistance R
K
, which is a
combination of the contact resistance R
c
and other parasitic
resistances (due to sheet resistance of surrounding material).
R
c
is inversely proportional to the area from the standard
resistance–area relationship. This implies that as the area de-
creases, by decreasing the diameter d, R
c
increases, and beyond
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