Wigner crystalization about $ν$=3

Details Wigner crystalization about $ν$=3 Wigner crystalization about $ν$=3

2003-07-08

arxiv.org/abs/cond-mat/0307182v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

for proceedings of EP2DS-15 (Nara) to appear in Physica E

Scientific paper

10.1016/j.physe.2003.11.226

We measure a resonance in the frequency dependence of the real diagonal conductivity, Re[$\sigma_{xx}$], near integer filling factor, $\nu=3$. This resonance depends strongly on $\nu$, with peak frequency $f_{pk} \approx 1.7$ GHz at $\nu=3.04$ or 2.92 close to integer $\nu$, but $f_{pk} \approx$ 600 MHz at $\nu=3.19$ or 2.82, the extremes of where the resonance is visible. The dependence of $f_{pk}$ upon $n^*$, the density of electrons in the partially filled level, is discussed and compared with similar measurments by Chen {\it et al.}\cite{yong} about $\nu=1$ and 2. We interpret the resonance as due to a pinned Wigner crystal phase with density $n^*$ about the $\nu=3$ state.

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