Wigner crystalization about $\nu$=3

Abstract

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 $n^{\ast }$, 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 $n^{\ast }$ about the $\nu =3$ state.

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

References in corpus (5)

• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Microwave resonances of the bubble phases in 1/4 and 3/4 filled higher Landau levels
• Frequency Scaling of Microwave Conductivity in the Integer Quantum Hall Effect Minima

Cited by in corpus (20)

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• Skyrme and Wigner crystals in graphene
• Microwave resonance of the reentrant insulating quantum Hall phases in the 1st excited Landau Level
• Pinning mode resonance of a Skyrme crystal near Landau level filling factor $\nu$=1
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• The Quantum Hall Effect in the Absence of Disorder
• Electron Bubbles and the Structure of the Orbital Wavefunction
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Static and dynamic properties of crystalline phases of two-dimensional electrons in a strong magnetic field
• Magnetotransport patterns of collective localization near $\nu =1$ in a high-mobility two-dimensional electron gas
• Commensurability oscillations in the rf conductivity of unidirectional lateral superlattices: measurement of anisotropic conductivity by coplanar waveguide
• Replica study of pinned bubble crystals
• Stability of multielectron bubbles in high Landau levels
• Dynamical matrix of two-dimensional electron crystals
• Density Dependence of the Phases of the $\nu =1$ Integer Quantum Hall Plateau in Low Disorder Electron Gases
• Coexistence of two hole phases in high-quality $p$-GaAs/AlGaAs in the vicinity of Landau level filling factors $\nu$=1 and $\nu$=(1/3)
• Anomalous acousto-current within the quantum Hall plateaus
• Inequivalence of the low-density insulating state and quantum Hall insulating states in a strongly correlated two-dimensional electron system