Imaging the Electronic and Vibronic States of Single Semiconductor NanowiresSingle Semiconductor Nanowires
Leigh M. SmithDept. of Physics, University of Cincinnati
Univ. of CincinnatiH d E J k
Ohio UniversityAl d O G
Australian National Univ.Ch ti J di hHoward E. Jackson
Lyubov TitovaThang B. HoangAhutosh Mishra
Alexander O. Govorov
Miami UniversityJan Yarrison-Rice
Chennupati JagadishHannah JoyceH. TanY. Kim
Financially supported by University of Cincinnati, the Nano-Biotechnology
TMS-Orlando, 2007
Financially supported by University of Cincinnati, the Nano Biotechnology Initiative at Ohio University and the Australian Research Council.
Semiconductor Nanowires as Photodetectors
TMS-Orlando, 2007
LED and Laser Nanowires
TMS-Orlando, 2007
Nanowires as Single Electron Transistors
TMS-Orlando, 2007
Nanowires as single photon emitters
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Nanowires as Biosensors
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Core-Shell Nanowire GrowthPre-growth Core: GaAs
GaAsH3
Shell: AlGaAs
G A
Au
Ga3 core GaAsAsH3
450oC, 30min
GaAs
600oC, 10 min
450 C, 30min
reactantshell AlGaAs
Desorb surface contaminants and form eutectic alloy
650oC, 15 min
Wire diameter is determined by Au
t l t d h ll
TMS-Orlando, 2007
and form eutectic alloy.
Vapor-Liquid-Solid growth
catalyst and shell growth time
MotivationNanowire diameters D (~50-150 nm) > Bohr exciton’s diameter (~24 nm)
NW ┴~ bulk exciton Exciton ║
Dielectric “confinement” of EM dipole field (D<<λ):
Exciton density Photoluminescence intensities
N║ = N┴ I║ >> I┴
τ║ << τ┴We are interested in exciton spin dynamics
TMS-Orlando, 2007
We are interested in exciton spin dynamics of single nanowires
Single nanowire studies
Field-Emission Scanning gElectron Microscope (FESEM) image
Nanowires were removed from theAFM
Nanowires were removed from the growth substrate into solution and deposited onto a silicon substrate
a single nanowire:
~80nm in diameter, ~5-8 μm long
i ’ di t > B h it di t
10μm
TMS-Orlando, 2007
wire’s diameter > Bohr exciton diameter
=> expect no quantum confinement effects
Single nanowire studies
Field-Emission Scanning Electron Microscope (FESEM) image:
i h t d hnanowires have tapered shape.
Nanowires were removed from theNanowires were removed from the growth substrate into solution and deposited onto a silicon substrate
A single nanowire:
~80nm in diameter, ~5-8 μm long
C di t > B h it di t (24 )
TMS-Orlando, 2007
Core diameter > Bohr exciton diameter (24nm)
=> no quantum confinement effects
Photoluminescence ImagingSpectrometer
L - LensBS Beam Splitter
1.2 μm spatial
CCDL
BS - Beam Splitter
Tunable l
resolution
BS
2D CCD image
L
Y
λlaser
Tunable Ti:Saphire
i i
spat
ial
sample
emission energy
(a.u
)
X-Y-Ztranslation stage
tegr
ated
PL
TMS-Orlando, 2007
In Energy
Slit-confocal microscopy
Polarization studiesluminescenceθ
θ
laserpolarizer analyzer
spectrometer
200
250
Data Fit Cos2(θ)
u)
excitation/emission
πθ/σ+
250
300
.)
Data Fit Cos2(θ) σ+/π
θ
excitation/emission~50
θ
sample
100
150
nten
sity
(a.u
100
150
200
nten
sity
(a.u
.
-100-80 -60 -40 -20 0 20 40 60 80 1000
50PL in
-100-80 -60 -40 -20 0 20 40 60 80 1000
50
00
PL
in
laser polarization angle θ (degree) analyzer angle θ (degree)
polarizer = πθ ; analyzer = σ+ polarizer = σ+ ; analyzer = πθ
PL emission is strongly polarized parallel to the wire and is strongly
TMS-Orlando, 2007
PL emission is strongly polarized parallel to the wire, and is strongly enhanced when the laser excitation is polarized parallel to the wire
Polarization Imaging
8
10 1.44 1.47 1.50 1.53 Energy (eV)
a)
1.44 1.47 1.50 1.53
8
10c)
Energy (eV)
Calculate pixel by pixel
4
6
8
ng w
ire (μ
m)
4
6
8
ng w
ire (μ
m)
⊥
⊥
+
−=
IIII
P||
||
0
2
Alo
n
0
2
Alo
n
Polarization
10
~82%
4
6
8
wire
(μm
) b)
200
300
400d)
uenc
yHistogram
Strongly polarized due to the large dielectric
mismatchbetween GaAs and air
1 44 1 47 1 50 1 530
2
4
Alo
ng
50 60 70 80 90 1000
100
200
Fre
qu between GaAs and air
(Science 293 1455 (2001)
TMS-Orlando, 2007
1.44 1.47 1.50 1.53Energy (eV)
50 60 70 80 90 100Polarization (%)
(Science 293 1455 (2001),
APL. 89 173126 (2006))
Resonant Excitationcore GaAs
Tune excitation energy, E Laser , record PL intensity (PLE)
Elaser
shell AlGaAs
y ( )
GaAs
AlGaAs
AlGaAs
s e Ga s
1-LO2-LOresonances
GaAs
GaAs
E
r
1 LO
hωexcitationhωemission
PLGaAs
TMS-Orlando, 2007
r hωexcitation
real space k-space
Resonant Excitation
25000
single core-shell GaAs/AlGaAs nw
36meVT=10K
15000
20000 GaAs/AlGaAs nw
37meVes (a
.u)
5000
10000
60meV
37meV
Inte
nsiti
e
PL
1.44 1.48 1.52 1.56 1.60 1.64 1.68 1.72 1.76
0
PL PLE
Clear resonances at 36, 73 and ~133 meV
Eexcitation- EX (eV)
TMS-Orlando, 2007
Clear resonances at 36, 73 and 133 meV above free exciton energy.
Resonant Excitation
1-LO and 2-LO GaAs phonons
wire 2
Resonance at ~133 meV:
phonons
y (a
. u.)
PLEPL
Resonance at 133 meV:
1. Defect-AlGaAs related.
2 Bottom of AlGaAs band
wire 1LOLO
L In
tens
ity
2. Bottom of AlGaAs band (Low concentration of Al ~10%, instead of growth condition 26%)60 30 0 30 60 90 120 150 180 210 240
PLE
P
PL
)
H d th l i ti d d
-60 -30 0 30 60 90 120 150 180 210 240
Eexcitation - EX (meV)
TMS-Orlando, 2007
How does the polarization depend on excitation energy?
Excitation dependent polarization
(a.u
)
wire 2
PL PLE
Inte
nsity
PL PLE
Excited: 1.653 eV
Excited: 1.589 eV
Excited: 1.553 eV
1.45 1.50 1.55 1.60 1.65 1.70 1.75Excitation energy (eV)
P~76%
P~82%
nsity
(a.U
)
P~92%
1.46 1.48 1.50 1.52 1.54
x2
1.44 1.46 1.48 1.50 1.52 1.54
x2
1.44 1.46 1.48 1.50 1.52 1.54
Inte
x2
TMS-Orlando, 2007
Emission energy (eV)Emission energy (eV)Emission energy (eV)
Polarization changes with excitation energy!
PL Polarization Imaging
80•Excitation laser polarized along nanowire
40
60
80
•Analyze emission polarization
⊥− IIP ||
60
80
pixe
ls
400
82%
⊥
⊥
+=
IIP
||
||
60
80
40
200
300
# pi
xels
300 600 90040
60
pixels
Pol
50 60 70 80 90 1000
100
PL Polarization
TMS-Orlando, 2007
p
Polarization depends on excitation energy
1.68
1.71wire 2
1.62
1.65
V) ts
(a.u
)
1.56
1.59
Ener
gy (e
V
eve
n
1.50
1.53 55 60 65 70 75 80 85 90 95 100degree of polarization (%)
•Note that the emission energy does
1.47
PL Intensity (a u)
not change
•Only the energy of excitation changes
TMS-Orlando, 2007
PL Intensity (a.u) changes
•Changing polarization must result from changing exciton distributions
Polarization excitation dependence also depends on wire…
1.71
wire 3
1|| →n
1.65
1.68
uenc
e
1→⊥n
1 56
1.59
1.62
Freq
Ene
rgy
(eV)
1.50
1.53
1.56
55 60 65 70 75 80 85 90 95 100
Degree of polarization (%)
E
1|| >⊥n
n
1.44
1.47
I t iti ( )
⊥As one comes closer to resonance the relative density of excitons changes
TMS-Orlando, 2007
Intensities (a.u)g
Resonant excitation creates non-equilibrium exciton spin distributions
90100110
wire 1 ideal wire
on
on (%
)
(c)
As excitation comes closer to
4050607080
N||=Nwire 2
Emis
siPo
lariz
atio As excitation comes closer to
free exciton energy:
• Along wire: polarization increases
units
)
40 (b) wire 2
PLE
increases • Perpendicular:
polarization decreases
wire 1(a)LOLO
tens
ity (a
rb.
PL
Polarization are different for different wires
PLE
PL In
t
PLWire 2: thermal equilibrium
N║ = N┴
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-60 -30 0 30 60 90 120 150 180 210 240
Eexcitation - EX (meV)
║ ┴
Exciton Dynamics
xy zsτsτ
yτ xτ zτnsτ nsτ
I
0yG
1,||
, <<>>>> ⊥
IIandsnryzx ττττ2
, 21 s
yzxεττ ⎟
⎠⎞
⎜⎝⎛ +
=
23
3003
excexcvacy D
cωπεττ ==
⎠⎝At thermal equilibrium (highest energies) assume:
nn = yI τ=⊥
TMS-Orlando, 2007
yx nn =xI τ
=||
Spin scattering time
( )+ PI 1
0/ =dtdnαSteady state: wire 1
i 2
( )( )( )−
−−+
= ⊥
PI
forPIPI
nr
s
1
||1)11
||
τ
ττ 1 wire 2
wire 2
τ s/τnr
( )( ) ⊥−
+= ⊥ for
PIPI
nr
s 111
||ττ
0.1
S50 100 150 200 250
0.01
Eexcitation- EX (meV)
Spin relaxation time depends on excitation energy
“Non-Equilibrium Exciton Spin Dynamics in Resonantly Pumped Single Core-Shell GaAs-AlGaAs Nanowires”
Thang B Hoang L V Titova J M Yarrison-Rice H E Jackson A O Govorov Y
TMS-Orlando, 2007
Thang. B. Hoang, L.V. Titova, J. M. Yarrison-Rice , H. E. Jackson, , A. O. Govorov, Y. Kim, H. J. Joyce, H. H. Tan, C. Jagadish, L. M. Smith
Nano Letters - Web release 15 Feb ’07
Conclusions
Resonances observed at 1-LO and 2-LO and ~133meV
Single GaAs-AlGaAs NWs under resonant excitation:
Resonances observed at 1-LO and 2-LO and ~133meV(AlGaAs related) above the PL emission line
R t it ti t ilib i itResonant excitation creates non-equilibrium exciton dipole distributions
Polarization of PL is strongly enhanced as excitation energy comes closer to resonance with free exciton emission.
Rate equations: dependent of spin relaxation time on excitation energy
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Rate equations
xy zsτsτ
yτ xτ zτnsτ nsτ
0yG
,2s
z
s
y
s
x
nr
x
x
xx
x
τττττnnndn
nnnnnGdt
dn++−−−=
2
,2
zxyyyz
s
z
s
x
s
y
nr
y
y
yy
y
τττττ
nnnnndn
nnnnnG
dtdn
++
++−−−=
TMS-Orlando, 2007
,2sssnrz τττττdt
++−−−=