III. RESULTS AND DISCUSSION
Fig. 2 shows the $I_{\rm D}$-$V_{\rm G}$ transfer characteristics at 300 K as the room-temperature
baseline and at 358 K as the standard DRAM high-temperature condition for retention
and refresh evaluation. The low off-current ($I_{\rm off}$) of $1.1\times 10^{-12}\text{
A}/\mu\text{m}$ and the high threshold voltage ($V_{\rm th}$) of 0.306 V at $V_{\rm
GS} = 0\text{ V}$ indicate that the body region is fully depleted, which is achieved
with a high work function gate metal [21]. A fully depleted body region is crucial for enhanced memory performance, as partial
depletion increases the SRH recombination rate, reducing RT. Furthermore, at 358 K,
$I_{\rm off}$ increased to $3.9\times 10^{-11}\text{ A}/\mu\text{m}$ and $V_{\rm th}$
decreased to 0.252 V due to the higher carrier generation rate at elevated temperatures.
Fig. 2. Transfer characteristics of the proposed 1T-DRAM at 300 K and 358 K.
Fig. 3. Transient characteristics of the proposed GAA-JLFET 1T-DRAM.
Fig. 3 shows the transient characteristics of the 2 nm vertically stacked storage layer
and 15 nm underlap structure at $T = 358\text{ K}$. The corresponding bias conditions
are summarized in Table 2. The operation sequence begins with an initial read phase lasting 10 ns. During the
write ‘1’ operation, gate and drain voltages of -1 and 1.5 V were applied, respectively,
creating a steep energy band that facilitates BTBT. In the write ‘0’ operation, the
potential barrier is lowered, allowing holes to drift toward the drain region and
creating a distinct difference in hole densities between the two states. This charge
disparity resulted in different read ‘1’ and read ‘0’ currents, defining the SM. The
proposed device achieved an SM of 1.13 $\mu$A/$\mu$m.
Table 2. Memory operation bias conditions.
|
Operation
|
Write ‘1’
|
Write ‘0’
|
Read
|
Hold
|
|
Gate voltage ($V_{\rm G}$)
|
−1.0 V
|
1.0 V
|
0.2 V
|
−0.5 V
|
|
Drain voltage ($V_{\rm D}$)
|
1.5 V
|
−1.5 V
|
0.1 V
|
0 V
|
During the write ‘1’ operation, the applied bias induces strong band bending at the
body-drain junction, leading to BTBT. The tunneling probability is analyzed using
the nonlocal BTBT model, expressed as Eq. (1)
[22,
23]:
where $F$ denotes the electric field, $F_0 = 1\text{ V/cm}$, and $P$ is set to 2.0
for direct tunneling and 2.5 for phonon-assisted tunneling. The corresponding prefactors
are given in Eqs. (2) and (3), respectively:
where $m_{\rm c}$, $m_{\rm v}$, $m_{\rm r}$, $g$, $N_{\rm op}$, $D_{\rm op}$, $\rho$,
$\varepsilon_{\rm op}$, $E_{\rm g}$, and $\Delta_{\rm c}$ represent the conduction
and valence band effective masses, reduced mass, degeneracy factor, optical phonon
occupation number, deformation potential, mass density, phonon energy, bandgap, and
conduction band offset, respectively. The dominant factor influencing the BTBT term
in this equation lies within the exponential component, which is primarily governed
by the bandgap, effective mass, and electric field.
During the write ‘1’ operation, BTBT is predominantly activated in the SiGe region
due to its higher valence band offset compared to Si. The BTBT generation rate is
considerably higher in Si$_{0.8}$Ge$_{0.2}$ than in Si (Fig. 4(a)). To quantify the tunneling path, energy band diagrams and BTBT profiles were evaluated
along the X-X$^\prime$ and Y-Y$^\prime$ directions in Figs. 4(b) and 4(c). The peak tunneling distances are found to be 4.61 nm for Si$_{0.8}$Ge$_{0.2}$ and
5.12 nm for Si, indicating that the SiGe storage layer provides a shorter tunneling
path. Furthermore, the carrier effective mass in SiGe decreases with increasing Ge
content [24].
Fig. 4. (a) BTBT distribution during write ‘1’ operation, (b) Energy band diagram
along X-X$^\prime$, (c) Energy band diagram along Y-Y$^\prime$.
Fig. 5. (a) Electric field distribution during write ‘1’ operation, (b) Electric field
and BTBT generation along X-X$^\prime$.
Fig. 5(a) shows the cross-sectional electric field distribution during the write ‘1’ operation,
showing a concentrated field at the body-drain junction. Fig. 5(b) plots the electric field and BTBT generation rate along the X-X$^\prime$ line. Compared
with the Si center region, the Si$_{0.8}$Ge$_{0.2}$ edge exhibits an electric field
more than $10^2$ times stronger. This enhancement results from the shorter effective
gate-to-drain spacing near the SiGe edge, which confines the potential drop ($\Delta
V$) over a smaller distance ($d$), increasing the electric field ($F$) and promoting
a higher BTBT rate.
Consequently, the combined effects of a shorter tunneling distance, reduced effective
mass, and stronger electric field result in a significantly higher BTBT rate in SiGe
compared to Si. This confirms that the SiGe region plays a critical role in enabling
an efficient BTBT process in the proposed device.
Fig. 6(a) shows the hole density distribution in the device during the hold ‘1’ operation,
showing that holes are primarily concentrated beneath the gate region. Fig. 6(b) shows the energy band diagram along the X-X$^\prime$ direction, where the energy
band directly beneath the gate is observed to be higher than that in the underlap
region. This behavior results from the applied voltage conditions during the hold
‘1’ operation, with a gate voltage of -0.5 V and a drain voltage of 0 V.
Fig. 6. (a) Hole density distribution during the hold ‘1’ operation, (b) Energy band
profile along the X-X$^\prime$.
These voltage conditions are deliberately configured to retain the generated holes
for an extended duration, improving memory performance. Consequently, most of the
holes are stored in the storage layer beneath the gate. As previously discussed, the
high gate work function induces a fully depleted body region; however, the accumulated
holes beneath the gate locally neutralize this depletion. During the read ‘1’ operation,
the presence of these holes leads to a higher drain current compared to the read ‘0’
state, defining the SM.
Fig. 7. (a) Cross-sectional view of hole and electron density during the hold ‘1’
operation, (b) Hole and electron density profile along the X-X$^\prime$ direction.
Fig. 7(a) shows the cross-sectional electron and hole density distributions for a storage-layer
thickness of 2 nm, while Fig. 7(b) shows the corresponding electron and hole density profiles along the X-X$^\prime$
direction. During the write operation, a significant accumulation of holes occurred
in the body region, while electrons remained concentrated in the n-type source and
drain regions, resulting in carrier diffusion and increased recombination in localized
areas.
Fig. 8(a) shows the SRH recombination distribution during the hold ‘1’ operation, while Fig. 8(b) shows the SRH recombination profile along the Y-Y$^\prime$ direction. The SRH recombination
rate is expressed in Eq. (4):
where $n$ and $p$ denote the electron and hole concentrations, $n_{\rm i}$ represents
the intrinsic carrier concentration, $\tau_{\rm n}$ and $\tau_{\rm p}$ indicate the
electron and hole lifetimes, and $E_{\rm t}$ refers to the defect level measured from
the intrinsic level $E_{\rm i}$. The intrinsic carrier concentration is evaluated
at $T = 358\text{ K}$. For simplicity, we assume $E_{\rm t} \approx E_{\rm i}$ which
corresponds to the case where a midgap defect most strongly affects SRH recombination
[25].
Fig. 8. (a) SRH recombination distribution during the hold ‘1’ operation, (b) SRH
recombination profile along Y-Y$^\prime$.
SRH recombination is the dominant mechanism in indirect bandgap materials, such as
Si [26]. Analysis of the numerator indicates that the product $pn$ remains approximately
similar at both the center and the edges. However, the denominator is predominantly
influenced by the electron density term, making electron density the rate-determining
factor. The electron density at the device center is roughly $10^3$ times higher than
at the edges (Fig. 7(b)). Additionally, the electron and hole carrier lifetimes in Si$_{0.8}$Ge$_{0.2}$ are
$5\times 10^{-6}\text{ s}$ and $5\times 10^{-7}\text{ s}$, respectively [27]. Moreover, the electron and hole carrier lifetimes in Si are $1\times 10^{-5}\text{
s}$ and $3\times 10^{-6}\text{ s}$, respectively [28]. Since the hole lifetime in SiGe is approximately ten times shorter than in Si, the
denominator in SiGe becomes about $10^4$ times larger than that in Si. Along the Y-Y$^\prime$
direction in Fig. 8(b), the SRH recombination rate is observed to be roughly $10^4$ times higher. These
results quantitatively confirm that the reduced carrier lifetime in SiGe significantly
influences charge retention and, consequently, overall device performance. Therefore,
a partial cut-off of the SiGe region is analyzed to suppress recombination and enhance
charge retention.
Fig. 9. Fabrication process of the partially cut-off 1T-DRAM.
Fig. 9 shows the fabrication process of the partially cut-off 1T-DRAM. The process begins
with the preparation of an n-type Si substrate through phosphorous (P) implantation,
which was chosen to establish a uniform and thermally stable n-type background. As
the body region requires a lower doping concentration compared to the source and drain,
an initial n-type doping is performed to achieve the appropriate body doping level.
Subsequently, pillar formation and protection steps are conducted to enable selective
doping. Ion implantation is then applied to the lower portion of the pillar to adjust
the doping concentration, forming the drain region [29]. After forming the drain region, an isolation layer is deposited to provide structural
and electrical separation. The SiGe storage layer is then grown using chemical vapor
deposition (CVD) and subsequently etched. This is followed by the deposition of HfO$_2$
through atomic layer deposition to form the gate dielectric. To define the underlap
region near the drain, the isolation layer is selectively patterned. Finally, the
gate material is deposited using physical vapor deposition to complete the gate structure.
The gate etching process is subsequently carried out to define the gate region while
preserving the designed underlap characteristics. Following gate formation, the source
electrode is deposited to establish efficient electrical contact. Finally, vias for
the source, drain, and gate are patterned and etched, completing the fabrication of
the proposed device [30].
To maintain hole density while enhancing RT, a partial structural modification of
the storage layer was analyzed. The SRH recombination rate was found to be most prominent
in the SiGe storage layer near the source and drain regions. Therefore, the SiGe adjacent
to the source was selectively removed, ensuring that the overall hole storage capability
remained unaffected. The SiGe near the drain was retained, as it plays a crucial role
in hole generation during the write ‘1’ operation. If the SiGe near the drain is also
removed, the Si/SiGe band offset and local electric-field concentration near the drain
are reduced, so the tunneling-driven hole injection near the drain is strongly suppressed.
As a result, the sensing margin is markedly reduced and the memory operation can even
be disabled under the same bias conditions. Fig. 10(a) compares the hole density distributions of devices with and without the source-adjacent
SiGe cut-off, while Fig. 10(b) shows the hole density profile along the X-X$^\prime$ direction. The results show
that the hole density in the storage layer directly beneath the gate remains nearly
unaffected by the cut-off process. This confirms that the modification did not affect
the overall hole density in the storage layer and successfully preserves the charge
storage characteristics of the device.
Fig. 10. (a) Hole density distribution for the conventional and partially cut-off
structures, (b) Hole density along X-X$^\prime$.
Fig. 11. (a) SRH recombination distribution for the conventional and the partially
cut-off structures, (b) SRH recombination profile along X-X$^\prime$, (c) SRH recombination
profile along Y-Y$^\prime$.
Fig. 11(a) compares the SRH recombination rates of devices with and without the SiGe cut-off
near the source, while Figs. 11(b) and 11(c) demonstrate the SRH recombination profiles along the X-X$^\prime$ and Y-Y$^\prime$
directions, respectively. SRH recombination in the SiGe layer along the X-X$^\prime$
direction is significantly reduced due to the removal of the source-adjacent SiGe
region, where recombination was most pronounced (Figs. 11(a) and (b)). Similarly, Fig. 11(c) indicates that SRH recombination near the source-adjacent body region is also suppressed
along the Y-Y$^\prime$ direction. The results confirm that removing the SiGe region
near the source effectively reduces recombination. Electrically, this partial cut-off
is expected to introduce minor side effects in the $I_{\rm D}$-$V_{\rm G}$ characteristics,
such as a slight reduction in drain current at low gate voltage and a minor decrease
in $I_{\rm on}$ due to a small source-side band hump. However, these effects are not
expected to significantly affect memory performance. Consequently, this structural
modification minimizes charge loss, resulting in improved retention characteristics
while maintaining the hole density in the storage layer.
Fig. 12. SM and RT for the conventional and partially cut off structures.
Fig. 12 shows the variations in SM over the hold time for both the original device and the
device with the SiGe cut-off. The results indicated that, with the SiGe cut-off, the
RT increased from 50.7 to 106.53 ms, meeting the IRDS roadmap requirement of 64 ms.
Additionally, the SM increased from 1.13 to 1.24 $\mu$A/$\mu$m, further enhancing
the device’s performance.