IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 55, NO. 9, SEPTEMBER 2008 2287
Impact of Donor Concentration, Electric Field, and
Temperature Effects on the Leakage Current in
Germanium p+/n Junctions
Geert Eneman, Maxime Wiot, Antoine Brugère, Oriol Sicart I Casain, Sushant Sonde, David P. Brunco,
Brice De Jaeger, Alessandra Satta, Geert Hellings, Kristin De Meyer, Senior Member, IEEE,
Cor Claeys, Senior Member, IEEE, Marc Meuris, Marc M. Heyns, and Eddy Simoen
Abstract—This paper presents an analysis of junction leak-
age in heavily doped p+/n germanium junctions, targeted
for short-channel transistor fabrication. There exists an opti-
mal p+/n junction condition, with a doping concentration of
1 × 10
17
–5 × 10
17
cm
−3
, where the area-leakage-current density
is minimal. Use of a halo-implant condition optimized for our
125-nm gate-length pMOS devices shows less than one decade
higher area leakage than the optimal p+/n junction. For even
higher doping levels, the leakage density increases strongly. There-
fore, careful optimization of p+/n junctions is needed for deca-
nanometer germanium transistors. The junction leakage shows
good agreement with electrical simulations, although for some
implant conditions, more adequate implant models are required.
Finally, it is shown that the area-junction static-power consump-
tion for the best junctions remains below the power-density speci-
fications for high-performance applications.
Index Terms—Germanium, halo implant, leakage current,
MOSFETs, p+/n junction, trap-assisted tunneling (TAT).
I. INTRODUCTION
O
NE OF THE concerns in the development of Ge-channel
MOS devices is the small band gap (E
g
= 0.67 eV),
which can give rise to Band-to-Band Tunneling (BTBT) when
sufficiently high electric fields exist at the drain junction of the
transistor [1], [2]. High electric fields can be expected in deep-
submicrometer devices, owing to the high substrate-doping
levels typically used to control the short-channel effects. It is
common practice to employ a so-called halo or pocket implan-
tation, giving rise to a high doping concentration at the junction
Manuscript received December 26, 2007; revised April 9, 2008. The review
of this paper was arranged by Editor J. Cressler.
G. Eneman is with the Interuniversity MicroElectronics Center (IMEC),
3001 Leuven, Belgium, with the Fund for Scientific Research-Flanders, 1000
Brussels, Belgium, and also with the Electrical Engineering Department,
INSYS Division, Katholieke Universiteit Leuven, 3001 Leuven, Belgium
(e-mail: eneman@imec.be).
M. Wiot, A. Brugère, O. Sicart I Casain, S. Sonde, B. De Jaeger,
A. Satta, M. Meuris, M. M. Heyns, and E. Simoen are with the Interuni-
versity MicroElectronics Center (IMEC), 3001 Leuven, Belgium (e-mail:
maxime.wiot@gmail.com).
D. P. Brunco is an Intel Assignee at the Interuniversity MicroElectronics
Center (IMEC), 3001 Leuven, Belgium.
G. Hellings, K. De Meyer, and C. Claeys are with the Interuniversity
MicroElectronics Center (IMEC), 3001 Leuven, Belgium, and also with the
Electrical Engineering Department, INSYS Division, Katholieke Universiteit
Leuven, 3001 Leuven, Belgium.
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TED.2008.927660
[3]. In order to suppress the phenomenon, dedicated architec-
tures using thin Ge epitaxial layers have been proposed [4], [5].
BTBT or Zener tunneling is in fact an “old problem” in
germanium p-n junctions—one of the first reports was al-
ready published in 1951 [6]. Besides direct tunneling across
the germanium band gap, deep-level generation–recombination
centers may also assist in the transition of electrons from the
valence to the conduction band [7], so-called Trap-Assisted
Tunneling (TAT). For the case of silicon p-n junctions, the
electric-field (F ) dependence can be described following the
approach of Hurkx et al. [8], [9], resulting in an expression
often used in device simulations
R
trap
(x)=[1 + Γ(x)] R
SHR
(x) (1)
where R
trap
is the field-assisted recombination rate (in per
cubic centimeter per second) at a distance x from a one-
sided junction and R
SRH
is the Shockley–Read–Hall (SRH)
recombination rate through phonon-assisted carrier processes
via a deep trap. The electric-field-enhancement factor Γ(x)
corresponds to [8], [9]
Γ=
ΔE
kT
1
o
exp
ΔE
kT
u −
4
3
√
2m
∗
(ΔE)
3
q|F |
u
3/2
du (2)
where F is the magnitude of the electric field, kT is the thermal
energy, q is the absolute value of the electron charge, is the
reduced Planck constant, and m
∗
is the effective mass of the
carriers. ΔE is related to the trap level and equals E
g
/2 for
midgap states. The integration variable u is related to the energy
of the carriers after tunneling, as is detailed in [8].
Having this in mind, the goal of the work reported in this
paper is to evaluate the leakage in p+/n junctions fabricated
with different halo doping densities, i.e., with different maxi-
mum electric field F
max
at the junction. Ideally, one expects a
dominance of standard SRH generation at low donor concen-
trations N
D
, going over to TAT at intermediate concentrations
and to BTBT at still higher concentrations. This transition point
will also depend on the bias condition and temperature. As will
be shown, for the Ge p+/n junctions under study, an optimum
peak N
D
exists in the range of 1–5 × 10
17
cm
−3
, where the
leakage-current density at a fixed V
R
= 0.5 V is minimum. Be-
yond that point, TAT governs both the area (J
A
) and perimeter
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