Microwave resonance of the bubble phases in 1/4 and 3/4 filled high Landau levels.
We have measured the diagonal conductivity, sigma(xx), in the microwave regime of an ultrahigh mobility two dimensional electron system. We find a sharp resonance in Re[sigma(xx)] versus frequency when nu>4 and the partial filling of the highest Landau level, nu(*), is approximately 1/4 or 3/4 and temperatures <0.1 K. The resonance appears for a range of nu(*) from 0.20 to 0.38 and again from 0.64 to 0.80. The peak frequency f(pk) changes from approximately 500 to approximately 150 MHz as nu(*)=1/2 is approached. This range of f(pk) shows no dependence on nu where the resonance is observed. The quality factor, Q, of the resonance is maximum at about nu(*)=0.25 and 0.74. We interpret the resonance as due to a pinning mode of the bubble phase crystal.
Lewis
R M
RM
National High Magnetic Field Lab and Department of Physics, Florida State University, Tallahassee, Florida 32306, USA.
Ye
P D
PD
Engel
L W
LW
Tsui
D C
DC
Pfeiffer
L N
LN
West
K W
KW