A cascade of phase transitions in an orbitally mixed half-filled Landau level

Abstract

Half-filled Landau levels host an emergent Fermi-liquid which displays an instability towards pairing, culminating in a gapped even-denominator fractional quantum Hall ground state. While this pairing may be probed by tuning the polarization of carriers in competing orbital and spin degrees of freedom, sufficiently high quality platforms offering such tunability remain few. Here we explore the ground states at filling factor $\nu$ = 5/2 in ZnO-based two-dimensional electron systems through a forced intersection of opposing spin branches of Landau levels taking quantum numbers $N$ = 1 and 0. We reveal a cascade of phases with distinct magnetotransport features including a gapped phase polarized in the $N$ = 1 level and a compressible phase in N = 0, along with an unexpected Fermi-liquid, a second gapped, and a strongly anisotropic nematic-like phase at intermediate polarizations when the levels are near degeneracy. The phase diagram is produced by analyzing the proximity of the intersecting levels and highlights the excellent reproducibility and controllability ZnO offers for exploring exotic fractionalized electronic phases.

References in corpus (37)

• Non-Abelian Anyons and Topological Quantum Computation
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• New directions in the pursuit of Majorana fermions in solid state systems
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Quantum Spin Liquid States
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field
• Strongly Anisotropic Electronic Transport at Landau Level Filling Factor $\nu =9/2$ and $\nu =5/2$ Under Tilted Magnetic Field
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Even denominator fractional quantum Hall state in bilayer graphene
• Resistance Spikes at Transitions between Quantum Hall Ferromagnets
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Landau Level Mixing and the Fractional Quantum Hall Effect
• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
• Direct measurement of discrete valley and orbital quantum numbers in a multicomponent quantum Hall system
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
• Landau Level Mixing in the Perturbative Limit
• A Stable Pfaffian State in Bilayer Graphene
• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• Even-denominator Fractional Quantum Hall Effect at a Landau Level Crossing
• Polarization dependent Landau level crossing in a two-dimensional electron system in MgZnO/ZnO-heterostructure
• Orbital order in bilayer graphene at filling factor $\nu =-1$
• Anomalous robustness of the 5/2 fractional quantum Hall state near a sharp phase boundary
• Contrast between spin and valley degrees of freedom
• Understanding the Missing Fractional Quantum Hall States in ZnO
• Bilayer graphene as an helical quantum Hall ferromagnet
• The Pfaffian state in an electron gas with small Landau level gaps
• Dependence of Effective Mass on Spin and Valley Degrees of Freedom
• Topological exciton Fermi surfaces in two-component fractional quantized Hall insulators
• Evidence for a topological "exciton Fermi sea" in bilayer graphene
• Morphing of 2D Hole Systems at $\nu =3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases

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• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
• Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Spatial Mapping of Local Density Variations in Two-dimensional Electron Systems Using Scanning Photoluminescence
• Piezo-driven sample rotation system with ultra-low electron temperature
• Kondo effect in electrostatically defined ZnO quantum dots
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Tuning the Topological Features of Quantum-Dot Hydrogen and Helium by a Magnetic Field
• Identifying non-Abelian anyons with upstream noise
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Microwave response of interacting oxide two-dimensional electron systems
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Hetero-Orbital Two-Component Fractional Quantum Hall States in Bilayer Graphene
• Hidden Quantum Hall Stripes in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As Quantum Wells
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Quantum Hall stripes in high-density GaAs/AlGaAs quantum wells
• Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
• Cascade of fractional quantum Hall states in 2D system