Transcript et al.

05.12.16 seminar@ISSP with Kono group
Photoluminescence-excitation spectra
on
n-type doped quantum wire
ISSP Akiyama group D1
Toshiyuki Ihara
Introduction ~ One dimensional system
Inverse-square-root divergence
Density of state (DOS)
D (E)  1/ E
1D
Interesting phenomena appear!!
・Large exciton binding energy.
・Strong absorption of
exciton groundstate.
・High speed optical modulation device.
・High performance laser device.
Background ~ calculation for doped 1D system
<Theoretical calculation by Rodriguez et. al.>
Band bottom
Fermi edge
absorption
emission
Dotted line
non-interacting free particle
Solid line
includes many-body effect
(Fermi edge singularity)
Rodriguez et al., Phys. Rev. B 47, 1506 (1993)
“1D DOS singularity” and/or “Fermi edge singularity” would appear.
Background ~ experiments of doped 1D system ①
Doped multi well-wires
Calleja et al., Solid State Commun. 79, 911 (1991)
Strong FES effect
Doped multi V-groove wires
Oberli et al., Physica E 11, 224 (2001)
Weak FES effect
Background ~ experiments of doped 1D system ②
Doped single T-wire
Akiyama et al., Solid State Commun. 122, 169 (2002)
Doped nanotube
Htoon et al., Phys. Rev. Lett. 93, 027401 (2004)
Weak
FES effect
What causes strong FES effect ? Where is 1D DOS
Strong
FES effect
Motivation
~ optical absorption of doped quantum wire
For the observation of 1D density of state …
・High-quality
・1D limit
・direct gap structure
Our T-shaped wire meet these conditions !!
Furthermore, in order to obtain absorption spectra …
We developed
“High resoluted photoluminescence-excitation (PLE) method”
PLE spectra of ground state of single quantum
wire are possible to obtain !!
Sample structure
<fabrication>
MBE with cleaved edge
overgrowth method
<size of wire>
14 x 6nm x 4mm(single)
<doping>
①Si modulation doping
②FET gate structure
→tunable electron density
<measurement>
Polarization selected
micro-PL & PLE spectra
PL and PLE overview
stokes shift <0.2meV
A clear PLE peak of wire ground
state was obtained.
How the “wire” peak changes with increasing electron density !?
Results for 1D system
※hole density is small
Metal-insulator crossover of
1D doped system was
observed for the first time.
<interesting results>
①double peak structure at
the metal-insulator
crossover region.
②remarkable quenching
of exciton peak
What is the origin of double
①
②
 = 0.2meV
Te = Th = 8K
Free particle calculation
Effective mass 2 band model、
Fermi distribution of electron gas
  e  h
 (1  me / mh ) e
absorption
A    D1j D  1  f e  e L   E g   d
emission
I     D1j D   f e  e  f h  h L   E g   d
D ( )  1 / 
1D
j
ne  
1

2me
2
1
e
f e  e d e
Comparison
good agreement for PLE at
high electron density!!
Double peak structure ①
corresponds to
“1D DOS singularity”
and “Fermi edge”.
①
②
FES effect is not strong.
High density and High temperature
Calculation parameter
 = 0.5meV
Te = Th
BE :Band Edge
FE :Fermi Edge
Sharp absorption peak of BE at 50K corresponds to
1D DOS singularity !!
Results for 2D system
Same results as other groups
・Finkelstein et al., Phys. Rev. Lett. 74, 976 (1995)
・Huard et al., Phys. Rev. Lett. 84, 187 (1999)
・Yusa et al., Phys. Rev. B 62, 15390 (2000)
・Kaur et al., Phys. Status Solidi B 178, 465 (2000)
・Cox et al., Phys. Rev. B 69, 235303 (2004)
Band edge absorption is not sharp peak but step-function onset
Conclusion
We measured PLE spectra at low temperature on an n-type doped single
quantum wire with a gate to tune electron densities.
①A double peak structure corresponding 1D DOS
singularity and Fermi edge appeared.
②exciton peak quenches at low density (1×105cm1 )
<Further investigation>
Study the effect of hole localization
on the Fermi edge singularity
by
Carbon-acceptor doped quantum wire