2-4 April 2014, Cannes Côte d’Azur, France
©EDA Publishing/DTIP 2014 ISBN: 978-2-35500-028-7
Determination of material properties and failure using
in-situ thermo-mechanical probe
B. Arrazat
1
, S. Orellana
2,3
, C. Rivero
3
, P. Fornara
3
, A. Di-Giacomo
3
, S. Blayac
1
, P. Montmitonnet
2
, K. Inal
2
1
Ecole Nationale Supérieure des Mines de Saint-Etienne, CMP, 880, route de Mimet, 13541 Gardanne, France
2
Mines ParisTech, CEMEF UMR CNRS 7635, 1, rue Claude Daunesse, 06904 Sophia Antipolis Cedex, France
3
STMicroelectronics, TR&D, 190, avenue Célestin Coq, 13106 Rousset Cedex, France
Abstract – A metallic in-situ stress sensor is modified to address
electrical polarization and thus to locally heat this sensor by
Joule effect. By coupling SEM electrical nano-probing with
analytical modeling and multiphysics Finite Element Method
(FEM), the thermo-mechanical properties are identified. As a
result, a tensile stress state of 190 MPa, coefficient of thermal
expansion of 22.5x10
-6
K
-1
and thermal conductivity of
190 W/(K.m) are identified in the aluminum thin film in
agreement with literature. Moreover, high current induces
irreversible deformation and breaking. Using multiphysics FE
model with identified thermo-mechanical properties, the failure
of the sensor under electrical solicitation is investigated. The
evolution of local temperature and mechanical deformation on
different sensor designs allows the determination of the breaking
location and condition.
Keywords: Back-End of Line (BEoL), embedded sensor, thermo-
mechanical properties, Joule effect, Finite Element Modeling, in-situ
SEM nano-probing, failure mechanisms.
I. INTRODUCTION
In the past decade, the integrated circuits have strongly
increased their performance due to the down-scaling of
transistors [1]. The CMOS technology becomes more and more
complex with higher integration density and introduction of
new materials. For the metal interconnexion layers (Back End
of Line - BEoL), metallic-intermetallic dielectric having
heterogeneous thermo-mechanical properties are introduced
[2]. The manufacturing thermal budget induces mechanical
stress that can result in mechanical failures [3].
An in-situ sensor was developed in order to monitor the
metal stress level [4-5]. Using standard CMOS BEoL
processing on 8” wafer, aluminum thin film is patterned on
dielectric layer. The stress sensor is composed by metallic arms
and a rotating beam surrounded by dielectric. As the structure
is released from its surrounded layer, the relaxation of residual
stress induces a displacement of rotating beam. Using an
analytical model [6], the measurement of this displacement
allows the determination of residual stress in accordance with
Finite Element Method (FEM) [7]. This approach is validated
by experimental verification using X-ray technique and Stoney
formula [8, 9]. This sensor turns out to be a local, fast and fine
tool for material characterization under micron scale.
More options are developed using electrical polarization. A
series of rotating sensors are electrically connected in order to
measure the electromigration-induced stress. Thus, a direct
observation of stress gradients in aluminum interconnect
metallization is done [10]. This sensor is also used to determine
the thermo-mechanical properties (as thermal expansion and
conductivity) [11]. It is locally heated by Joule effect (section
II). Then, due to thermal expansion, the rotating beam will be
displaced. By coupling experiments with FEM and analytical
modeling, a gradual approach is developed to determine these
parameters. Moreover, high current induces irreversible
deformation and breaking [12]. The purpose of this paper is to
investigate the failure of the sensor under electrical solicitation
using predictive FEM [11]. For this raison, the FE thermo-
electro-mechanical model is presented (section III). This model
is used to study the local variation of the deformation and the
temperature on the sensor (section IV). Thus, the location of
the breaking is determined and a method to predict the
breaking current is proposed.
II. SENSORS
The presented sensor is manufactured using standard
CMOS process on 8” silicon substrate. An aluminum thin film,
corresponding to sensor layer, is deposited (550 nm thick) and
patterned on dielectric. The sensor (Figure 1) consists of two
anchors (80x80 μm²), a rotating beam and arms (1 μm width
and 30 μm length). The position of patterned rotating beam
corresponds to a referential point (zero deviation, d=0, Figure
1).
Figure 1. Sensor design (called “cross”).