Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid

Abstract

The interplay of strong Coulomb interactions and of topology is currently under intense scrutiny in various condensed matter and atomic systems. One example of this interplay is the phase competition of fractional quantum Hall states and the Wigner solid in the two-dimensional electron gas. Here we report a Wigner solid at $\nu =1.79$ and its melting due to fractional correlations occurring at $\nu =9/5$. This Wigner solid, that we call the reentrant integer quantum Hall Wigner solid, develops in a range of Landau level filling factors that is related by particle-hole symmetry to the so called reentrant Wigner solid. We thus find that the Wigner solid in the GaAs/AlGaAs system straddles the partial filling factor $1/5$ not only at the lowest filling factors, but also near $\nu =9/5$. Our results highlight the particle-hole symmetry as a fundamental symmetry of the extended family of Wigner solids and paint a complex picture of the competition of the Wigner solid with fractional quantum Hall states.

References in corpus (12)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Melting of a 2D Quantum Electron Solid in High Magnetic Field
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• NMR profiling of quantum electron solids in high magnetic fields
• Fractional Quantum Hall Effect and Wigner Crystal of Two-Flux Composite Fermions
• Probing the Melting of a Two-dimensional Quantum Wigner Crystal via its Screening Efficiency
• Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing
• Two- and three-electron bubbles in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As quantum wells
• Electron Bubbles and the Structure of the Orbital Wavefunction
• A new type of carbon resistance thermometer with excellent thermal contact at millikelvin temperatures
• Precise Experimental Test of the Luttinger Theorem and Particle-Hole Symmetry for a Strongly Correlated Fermionic System

Cited by in corpus (5)

• A Highly Correlated Topological Bubble Phase of Composite Fermions
• Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Density Dependence of the Phases of the $\nu =1$ Integer Quantum Hall Plateau in Low Disorder Electron Gases
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations