Competing Fractional Quantum Hall and Electron Solid Phases in Graphene

Abstract

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between incompressible fractional quantum Hall states, and electron solid phases. The tunability of graphene allows us to measure the $B$-$T$ phase diagram of the electron-solid phase. The hierarchy of reentrant states suggest spin and valley degrees of freedom play a role in determining the ground state energy. We find that the melting temperature scales with magnetic field, and construct a phase diagram of the electron liquid-solid transition.

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• Thirty Years of Composite Fermions and Beyond
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Nanoscale imaging of equilibrium quantum Hall edge currents and of the magnetic monopole response in graphene
• Skyrmion solids in monolayer graphene
• Edge Channels of Broken-Symmetry Quantum Hall States in Graphene probed by Atomic Force Microscopy
• High quality electrostatically defined hall bars in monolayer graphene
• Fractional quantum Hall effect in CVD-grown graphene
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Proximity screening greatly enhances electronic quality of graphene
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene
• Electron Bubbles and the Structure of the Orbital Wavefunction
• Two- and three-electron bubbles in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As quantum wells
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• A Highly Correlated Topological Bubble Phase of Composite Fermions
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Magnetotransport patterns of collective localization near $\nu =1$ in a high-mobility two-dimensional electron gas
• Broken Symmetry in Ideal Chern Bands
• Stability of multielectron bubbles in high Landau levels
• Broadband Microwave Spectroscopy for Two-Dimensional Material Systems
• Competing Laughlin state and Wigner crystal in bilayer graphene
• Spin and valley ordering of fractional quantum Hall states in monolayer graphene
• Charge density waves and their transitions in anisotropic quantum Hall systems
• Hidden Quantum Hall Stripes in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As Quantum Wells
• Apparent inconsistency between Streda formula and Hall conductivity in reentrant integer quantum anomalous Hall effect in twisted MoTe${}_2$
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Dipole representation of composite fermions in graphene quantum Hall systems
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Interlayer exciton condensates between second Landau level orbitals in double bilayer graphene
• Quantum melting a Wigner crystal into Hall liquids