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Quantum Devices and Integrated Circuits Based on Quantum
Confinement
in III-V Nanowire Networks Controlled by Nano-Schottky Gates
ECS 2001 Joint Intenational Meeting, San Francisco Sept. 2-7,
2001Sixth International Symposium on Quantum Confinement
Hideki Hasegawa
Research Center for Integrated Quantum Electronics (RCIQE)
andGraduate School of Electronics and Information Engineering
Hokkaido University, Japan
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Outline
1. Introduction
2. Hexagonal BDD Quantum Circuits
3. GaAs-Based Quantum BDD Node Devices and Circuits
4. Toward Room Temperature Operation and High Density
Integration
5. Conclusion
• Novel nanometer-scale Schottky gates• GaAs-based quantum BDD
node devices• Integration of BDD node devices on hexagonal nanowire
networks
• Formation of InP-based high density hexagonal nanowire
networks• Surface related key issue
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CollaboratorsRCIQE staff
Dr. S. Kasai, Dr. C. Jiang and Dr. T. SatoStudents
T. Muranaka, A. Ito and M. Yumoto
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G ≈ G0 ≡ 2e2
h
J.E.Mooij, 1993 SSDM Ext. Abs. 339
106
104
102
1
10-2
10-14 10-12 10-10 10-8 10-6 10-4 10-2
10-16Fτ
[ps]
P[W]
Single Electronics
Quantum Limit
thermal energy1K
300K 105K
10-15F
10-18F
present-daysemiconductor
devices
10-17F
τ = CG
Speed, Delay-Power Product of Quantum Devices
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Semiconductor Nanoelectronics based on Quantum Device and
Circuit
Research on Semiconductor Nanostructure
Scale-down limit of Si CMOS LSIs
Growing demands on Information Technology (IT)
Nanotechnology in wide area~ chemistry, biology, etc.
• delay-power product near quantum limit • small-size and
high-density • nano-sensing, nano-control
But, How to ? So far no realistic approach.
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High Density Integration ?
First Monolithic Integrated Circuit in the World (Noyce,
1959)
300µm rule
IBM PowerPC
64-bit0.18µm rule700MHz1.4mm x 1.4mmSOI technology
Current Microprocessor (2001)
Discrete quantum devices How to make QLSIs ?
Semi-classical devices
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5 µm
QWRTr(Active Load)
3-gateWPGSET
input output
QWRTr-load SET inverter
W = 440 nmSET: LG = 50 nm, df = 200 nmQWRTr: LG = 300 nm
VDD
VG(QWRTr)
Vin
Vout
WPG QWRTr (active load)
WPG SET (driver Tr.)
(S. Kasai and H. Hasegawa presented at DRC 2000)
0
5
10
15
20
25
-550 -500 -450 -400 -350 -300 -250
T = 1.6 K
Gain = 1.3 VDD = 40 mVVBG = -1.0 V
VG(QWRTr) = 0 mV
Vin (mV)
small delay•power product but low gain
voltage mismatch poor Vth controlpoor drivabilitylow
temperature
Example of Quantum Logic Circuits
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Novel Approach for III-V QLSI
1. Digital Processing ArchitectureBinary Decision Diagram (BDD)
logic architecture
5. DeviceBDD node devices using gate-controlquantum wire (QWR)
and quantum dot (QD)
2. NanostuctureHexagonal nanowire networks byGaAs etched
nanowires andInGaAs nanowires by Selective MBE
3. Nanoscale Gate TechnologySchottky in-plane gate (IPG) and
wrap gate (WPG)
4. Surface and Interface ControlNano-Schottky interfaceInterface
control layer (ICL)-based passivation
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Digital Logic Architecture
Digital processing (operations on digital functions)
Implementation of digital functionsRepresentation
Boolean Equation Truth Table Binary Decision Diagram (BDD)
etc.
Implementation
Binary Logic Gate Look-Up Tableusing Memory
BDD Device
Transistor Switch ROM device
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BDD node device
Hexagonal BDD QLSI Approach
Example: Exclusive OR Logic Function
messenger
Xi
entry branch
0 1
1-branch0-branch
input
QWRswitch
quantumdot
tunnelbarrier
x1
x2 x2
f
0
0 1
0 1 0 1
BDD Boolean Logic Gate
x1
x2f
5 gates, 16 Trs3 devices
BDD logic architecture
terminal
x1x1
x1x3 x1xi
x1xn
0 1
input
r1
0 1
0 1 0 1
0 1
rootx1x2
r2
0 1
node
Hexagonalnetwork
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Ultra-low delay-power product near the quantum limit
•no precise voltage matching•no large voltage gain•no large
current drivability•no large fan-in and fan-out
No direct input-output connection is requiredBDD is suited to
quantum devices
Conventional Logic Gate Architecture
Hexagonal quantum BDD
node
r1 r2
x1 x2
x4x3
xn
xi
1 0
root
terminal
input
Features of Our Approach
The circuit itself works at room temperatureat sacrifice of
delay-power product
IPG/WPG QWRTr-based BDD devices act as classical path switching
devices even under non-quantum conditions.
single electronregime
few electronregime
many electronclassical regime
High density integration•hexagonal closely packed nanowire
network•free from contact problem•reduced device count
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Basic Schottky Gate Structure
Schottky In-Plane Gate (IPG) and Schottky Wrap Gate (WPG)
control of AlGaAs/GaAs etched nanowires
Schottky In-plane Gate (IPG)
AlGaAs
GaAs
GaAs nanowire
electrons
Schottky Wrap Gate (WPG)
·stronger confinement size ~ smaller high temperature
operation
·lateral structure suitable for planar integration
AlGaAs/GaAs nanowire
depletion layer
quantum wire
2-gate WPG single electron transistor(SET)
tunnel barrier controlWPGs
quantum dotWPG quantum wire transistor
(QWRTr)
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Wgeo
Source
IPG
Drain 1µmB (T)
0
3
1
2
4 T = 4.2K
-0.4V
VG=0V
-0.6V
2 4 60 1 3 5 7 8
SdH oscillation
0
600
200
400
800
-1.5 -0.5-2 -1 0
IPG QWR
VG (V)
Controlof Weff IPG QWRTr
GaAsexit branch
SchottkyWPG
LG
W500 nm
WPG QWRTr
0
5
10
15
20
B (T)
VG=0V-0.24V
-0.42V
0 1 2 3 4 5 6
-0.36V-0.48V
T=1.6 K
-0.6 -0.2-0.4 00
300
100
200
400
500WPG QWR
VG (V)
Gate Control Characteristics of IPG/WPG Structures
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I-V Characteristics of IPG/WPG QWRTrsAlGaAs/GaAs etched
nanowire
VDS (V)
0
2
4
6
8
10
0 0.1 0.2 0.3 0.4 0.5
VG = 0 V
-0.05 V
-0.1 V
-0.15 V-0.2 V
T=1.7K
VG (mV)
0
1
2
3
4
-600 -550 -500 -450
W = 750 nmLG = 300 nmT = 1.7 K
-800 -600 -400 -2000
1
2
3
VG (mV)
W = 530 nmLG = 600 nmT = 3 K
0
5
10
15
20
25
30
0 0.5 1 1.5 2
VG =0V
-0.2V
-0.4V
-0.6V
-0.8V
VDS (V)
T = 300 K
IPG QWRTr WPG QWRTr
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Single Electron Transport in 2-WPG SET
I = |T(E)|2 [f (E) – f (E+qVDS)] dEe2
h
Lateral resonant tunnling of single electron
0
20
40
60
80
0 5 10 15 20 25 30T (K)
Breit-Wigner formula
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0 5 10 15 20 25 30T (K)
e2ΓlΓr4kTΓl+Γr
1
cosh2 E-EF 2kT
~~
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
-1.3 -1.25 -1.2 -1.15 -1.1VG (V)
T = 30 K
20 K
15 K
7.5 K
4.2 K
2.5 K
1.5 K
df = 160 nm, W = 820 nmExperiment
-1.3 -1.25 -1.2 -1.15 -1.1VG (V)
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4T = 30 K
20 K
15 K
7.5 K
4.2 K
2.5 K
1.5 K
Theory
GaAs SETWPG
GaAs nanowire
AlGaAs GaAs
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QWR-based BDD node device
GaAs nanowire WPG
entry
IPG
1-branch0-branch
QWR
GaAs nanowire
quantum dot
tunnel barrier
WPG
WPG
SET
Single electron BDD node device
Various Types of BDD Node Devices by IPG/WPG Control of III-V
Nanowires
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WPG BDD Quantum Node Device
500 nm
0-branch 1-branch
GaAs nanowire
WPGxixi
entry
QWRTr
xixi
0-branch 1-branch
entry
WPG QWR-based BDD device
WPG single electron BDD devices
branch switch type
500 nm
0-branch 1-branch
GaAs nanowire
WPG
xixi
entry
SET
xixi
tunnel barrier
quantum dot
branch switch type
xixi
quantum dot
tunnel barrier
entry
10
WPG
GaAs nanowire
1 µm
xixi
node switch type
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0
1
2
-1
0
1
0 1 2 3 4Time (s)
0-branch 1-branch
xx
VDD = 200 mV
T = 300 K
Switching Characteristics
0
1
2
3
4
0 100 200 300 400 500VG (mV)
1-branchVG = 0 V
-0.2
-0.4
-0.6
-0.8-1.0
T = 300 KBranch I-V Switching characteristics
QWR branch- switch BDD node device
QWRTr
xixi
0-branch 1-branch
entry
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entry
0-branch
WPG
GaAs nanowire
1 µm
xixi
1-branch
WPG BDD Single Electron Node Device
Conductance oscillation due to single electron transportClear
path switching
0
0.02
0.04
0.06
-2.0 -1.8 -1.6 -1.4 -1.2VGxi (V)
T = 1.5 KVGent = -3.0 VVGxi = 0.4 V
0-branch: open
Conductance oscillation from single channel
Switching characteristics
0
1
2
3
-1.9 -1.8 -1.7
0-branch
1-branch
VGent = -2.4 VVGxi = +0.4 V
T = 1.5 K
VGxi (V)
QD-based node switch device
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Quantum BDD Implementation
Quantum BDD large scale integration
x1 x1
x2x2
x3
x4x4
0 1 0 1
0 10 1
0 1
0 10 1
hexagonal nanowire network + WPG
branchcut-off(etching, FIB)
x1
x2
x3
x4
x1
x2
x3
x4
wiring
WPG
one level metallization
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WPG BDD OR Logic Function Block
1000 nm
x1x1
x2
1- terminal
root
WPG
GaAs nanowire
x1
x2
10
1
1
root
1-terminal
node device
f
hexagonallayout
WPG single electron BDD OR circuit
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Operation of WPG BDD OR Logic
Input/Output waveform
VDD = 1 mV
clock: 2 Hz x2: 250 mV x1: 100 mV
pulse height
entry gate: 0 mV
0
0.1
0.2
0.3
0 2 4 6 8
x1
x2
output
T = 1.6 K
10Time (s)
VDD = 0.2 mV
clock: 0.1 Hz x2: 1000 mV
pulse height x1: 1200 mV entry gate: +1000 mV
00.10.20.30.40.50.60.7
0 50 100 150 200
x1
x2output
Time (s)
T = 120 K
x1
x2
OR
1
0 1
0 1
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Time (s)
Half adder (exclusive OR)
pulse h offset+x1: 0.02 V -0.4 V- x1: 0.44 -1.2+x2: 1.7 1.9- x2:
0.1 1.6VDD: 250 mVVDD = 0.2 mV
x2: 1000 mV
pulse height x1: 1200 mV
entry gate: +1000 mV
0
0.2
0.4
0.6
0 50 100 150 200
x1
x2output
Time (s)
120 K
0 5 10 15 20 25 30 35
20 nA
output
RTx1
x2
OR
x1
x2
OR
1
0 1
0 1
x1
x2 x2
0 1
01 0
ExOR
1
1
0 0 00 1 11 0 11 1 0
x1 x2 x1+ x2
0 0 00 1 11 0 11 1 1
x1 x2 x1+x2
WPG BDD Fundamental Logic Family
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Fabricated 2-bit adder circuit
1-terminal
c1 s1 s0
QWRTrnode device
WPG
GaAsnanowire
a1
b1
a0
b0
5 µm
Circuit Design and Fabrication Technology Towards BDD Quantum
Integrated Circuit
Example: BDD 2-bit adder
augend: a1, a0addend: b1, b0
a1 a1
b1b1b1b1b1
a01 0
b01 0
a1 1 0 0 11 0
a0a0
b0
0 10 10 11 01 0
1 00 1
1 0 1 0b0
c1 s1 s0
1
rootnode
terminal-1sum: s1, s0carry:c1
circuit diagram WPG/nanowire layout
augend: a1, a0addend: b1, b0sum: s1, s0carry:c1
1 0 0 1
00 11
1 0
1 0 1
1 00 1
10
1
1
a1 a1
b1b1b1
a1
b1b1
a0a0
b0b0
a0
b0
c1 s1 s0
1
root
terminalnanowire
WPG
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Hexagonal BDD 2 bit Adder
5 µm
C S1S0
terminal 1
a1b1
a0
b0 a1b1
b0
hexagonalnanowirenetwork
nodedevice
WPG
a0
T = 300 KVDD = 250 mV
time (s)0
200
400
600
800
0 10 20 30 40 50 60 70 80
a1a0b1b0
input
carry
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InGaAs Ridge Nanowires for Room Temperature Operation
InGaAs ridge quantum wire InAlAs
InGaAs
patterned InP sub. 3µm
AlGaAs/GaAs etched nanowires: possible minimum width = 70-100
nm
Room temperature operation requires sub-10 nm width
Growth of InAlAs/InGaAs/InAlAs
MBE growthof InGaAs
Pre-growth etching & O desorptionby atomic Hydrogen
InGaAs ridge QWRInGaAs ridge
(111)A
InP patterned sub.
4µm
1µm
Formation Process
T=20K
1.0 1.41.20.8
QWR
23meV
Energy (eV)
PL
Effective width, Weff (nm)
1.4
1.2
1.0
0.8theory
0 10 20 30 40 50
narrowest QWR by H* cleaning
Wire width of 6 nm has been achieved
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SEM image of hexagonal InGaAs nanowire network
3 µm
43
21
µm
12
34
0.4
µm0.8
AFM image
Hexagonal InGaAs Ridge Nanowire Network
( Ito et al. IPRM01, ICFSI-8)
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Potential Controllability of Nanometer-Sized Schottky Gates
φMS = 1.0 eVLg = 90nm
nano-Schottky gate
1. Strong pinning (0.88 eV)2. Unpinning
Semiconductor surface
Control of an environmental Fermi level pinning is important
1. With strong pinned surface 2. With unpinned surface
0 500 1000(nm)
0.8 ~ -2.0 V step 0.4 V
gate
500 1000(nm)
0.8 ~ -2.0 V step 0.4 V
gate0
500
n-GaAs
0
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Conclusion
A new, simple and realistic approach for quantum LSIs is
presented and discussed.
1)
•Architecture: BDD logic architecture
WPG QWR and single electron BDD node devices using GaAs etched
nanowires have been fabricated and BDD switching was realized.
Hexagonal BDD ICs using GaAs etched nanowires have been
fabricated. Logic operation has been confirmed.
Hexagonal InGaAs nanowire network by H* assisted selective MBE
combined with IPG/WPG gate technology gives good prospect for high
density BDD QLSIs that are operating at delay-power products near
the quantum limit at RT.
2)
3)
4)
•Hardware: Schottky WPG control of hexagonal III-V nanowire
networks.
Control of surface/interface remains to be a key issue.5)