Microwave spectroscopic observation of a Wigner solid within the 1/2 fractional quantum Hall effect

Abstract

The fractional quantum Hall effect (FQHE) states at half integer Landau fillings ($\nu$) have long been of great interest, since they have correlations that differ from those of the fundamental Laughlin states found at odd denominators. At $\nu =1/2$ the FQHE has been observed in wide or double quantum wells, and is ascribed to the two-component Halperin-Laughlin ${\Psi }_{331}$ state. ${\Psi }_{331}$ excitations carry charge $\pm e/4$, like the carriers of $\nu =5/2$ states which are of interest in quantum computation. Further, such an excitation (quasiparticle or -hole) of ${\Psi }_{331}$ has unequal, opposite charge in the top and bottom layers, and hence an up or down dipole moment. Here we report evidence for a Wigner solid (WS) of such dipolar quasiholes from a quantitative study of the microwave spectra of a wide quantum well (WQW) at $\nu$ close to 1/2.

References in corpus (7)

• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Sharp Tunneling Resonance from the Vibrations of an Electronic Wigner Crystal
• NMR profiling of quantum electron solids in high magnetic fields
• Evidence for Two Different Solid Phases of Two Dimensional Electrons in High Magnetic Fields
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• Microwave spectroscopic studies of the bilayer electron solid states at low Landau filling in a wide quantum well

Cited by in corpus (10)

• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• Fractional quantum Hall effect energy gap: role of electron layer thickness
• Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS
• The Quantum Hall Effect in the Absence of Disorder
• Valley-tunable, even-denominator fractional quantum Hall state in the lowest Landau level of an anisotropic system
• Interaction between Surface Acoustic Wave and Quantum Hall Effects
• Broadband Microwave Spectroscopy for Two-Dimensional Material Systems
• Fractional quantum Hall state at $\nu =1/2$ with energy gap up to 6 K, and possible transition from one- to two-component state
• Wigner solids of wide quantum wells near Landau filling $\nu =1$
• Interlayer-correlated fractional quantum Hall state in a trilayer electron system