AB-INITIO MODELING OF C-B INTERACTIONS IN SI
Chun-Li Liu, Wolfgang Windl, Len Borucki, Shifeng Lu*, Xiang-Yang Liu**
Advanced Process Development and External Research Lab., Motorola
*Process and Materials Characterization Laboratory, Motorola
**Physical Sciences Research Laboratory, Motorola
ABSTRACT
We present the results of ab-initio calculations for the structure and energetics of
small boron-carbon (BCI) as well as carbon-carbon (C
2
I) clusters in Si , a continuum
model for the nucleation, growth, and dissolution of the clusters, and experimental
investigation by SIMS. The modeling results suggest that these clusters may play a role
in controlling B diffusion in Si and SiGe systems and the experimental results seem to
support the modeling findings.
I. INTRODUCTION
SiGeC has several beneficial materials properties over SiGe which include the
compensation of film strains by adjustment of the Ge/C ratio, enhanced thermal stability,
increased critical film thickness, suppressed transient enhanced diffusion (TED) of boron
[1], and preservation of the narrowed band gap of strained SiGe. One particular device
application of SiGeC films is the construction of heterojunction bipolar transistors (HBT)
using Si/SiGeC/Si heterostructures. SiGeC HBTs have increased performance (higher
frequency) due to the smaller band gap [2] and stability of the base profile.
The currently prevalent explanation of suppression of diffusion of boron by
carbon is that carbon reduces the free silicon interstitial (I) concentration by forming a C-
Si complex, resulting in fewer B-Si complexes, which are believed to be responsible for
B TED in Si [1,3]. Reference [1] further showed that the diffusion of carbon
incorporated in silicon well above its solid solubility causes an undersaturation of silicon
self-interstitials, which further retards boron diffusion.
In this work, we further explore the atomic mechanisms for the effect of carbon
on B diffusion through ab-initio investigation of C-B interactions by focusing on C-B
split interstitial pairs (CBI). For the first time the results of our ab initio calculations
indicate that carbon and boron can interact directly by forming CBI pairs. For the
modeled case, CBI is the most important cluster containing B, while the predominant
cluster capturing and storing Si interstitials is the C2I cluster. Our modeling predicts that
the CBI concentration may not be sufficient to surpass the effect of carbon in reduction of
Si interstitials by forming C2I clusters, and thus that the direct interactions between C
and B by forming C-B pairs may play a secondary role in suppressing B diffusion.
However, a comparison to experiment indicates that BCI complexes might play an even
more central role than C2I clusters (our ab initio calculations have error bars of ~0.3 eV).
II. COMPUTATIONAL METHODS AND ASSUMPTIONS
VASP (the Vienna Ab-initio Simulation Package) [4] was used for the
calculations in this work. The ultra-soft pseudopotentials with a plane wave basis
supplied with VASP and the generalized gradient approximation (GGA) were used. A
supercell of 64 Si atoms and a cutoff energy of 21 Ry corresponding to the cutoff energy
of the C pseudopotential were chosen for all calculations. Diffusion barriers were
determined using the nudged elastic band method (NEBM) [5] implemented in VASP,
Mat. Res. Soc. Symp. Proc. Vol. 669 © 2001 Materials Research Society
J4.6.1