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metal vacuum n imaginary imaginary Surface plasmons Cannot be excited directly and only with E in plane of incidence (TM)
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Hybrid states of Tamm plasmons and exciton-polaritons
M Kaliteevski, S Brand, R A Abram, I Iorsh,A V Kavokin, T C H Liew and I A Shelykh
Plan
Tamm plasmons
Coupling Tamm plasmonsand exciton-polaritons
Controlling exciton-polaritons
22
21 pn
metal
vacuum
p n imaginary
k imaginary
imaginaryk
Surface plasmons
ck /||
Cannot be excited directly and only with E in plane of incidence (TM)
Surface plasmon dispersion
22
21 pn
metal
Braggreflector
p n imaginary
k imaginary
imaginaryk
Tamm plasmons
even with BR
0|| kCan be excited at normal and oblique incidence (TE and TM)
if high index layercomes first
1leftr1rightr
Field profile for Tamm plasmons
Field intensity profile for cavity photons
...
QWCAVITY
rM rR
CL
Au
r
t
r
Resonant coupling of Tamm plasmons and exciton-polaritons
(a)
(b)
(c)
E l
e c
t r
i c
f
i e
l d
0 00
C C X C TP
C X X
C TP TP
2 2 and C TP C X
Hybrid modesThree oscillator model
Lowest hybrid mode is lower in energy thanexciton-polariton by
2 2C TP C X C X
When C X TP
20 25 30 35 40 45 50 55 601.52
1.53
1.54
1.55
1.56
28 30 32 34 36 381.52
1.53
1.54
1.55
1.56
1.57
1.58
Layer thickness (nm)
Layer thickness (nm)
(a)
(b)
Ener
gy (e
V)
Ener
gy (e
V)
Real part of energy of the hybrid modes versus width of the semiconductor layer adjacent to the gold
Real part of energy of the hybrid modes versus thickness of the gold layer. Vertical bars give the imaginary parts of energy
0 1 2 3 4 5 61.53
1.54
1.55
1.56
1.57
Ener
gy (e
V)
K (m-1)
In-plane dispersion curves of hybrid modes for 50 nm film of gold:solid TE, dashed TM
20 25 30 35 40 45 50 55 601.52
1.53
1.54
1.55
1.56
28 30 32 34 36 381.52
1.53
1.54
1.55
1.56
1.57
1.58
Layer thickness (nm)
Layer thickness (nm)
(a)
(b)En
ergy
(eV
)En
ergy
(eV
)
Using surface metallization for lateral spatial control of exciton-polaritons
Illuminate at a photon energy just above the lowest mode - excitations only created where there is metal
Pump detuning
Using the Stark effect and polariton bistability
Reduce detuning in one segment by Stark effect – local state goes from lower red to green
Diffusion into adjacent segment– local state goes from green to upper red
Conclusions
Technologically straightforward process of surface metallization makes it possible to have Tamm plasmons in planar microcavity structures
Strong coupling of Tamm plasmons and exciton-polaritons is possible
Effect can be used to provide spatial control of exciton-polaritons
Acknowledgements
Valuable discussions with T. Ostatnický
EU FP7 funding through the POLALAS (230811) and Clermont4 (235114) projects
NCCR Quantum Photonics, Swiss National Science Foundation
Center of Excellence in Polaritonics, funded by RANNIS