Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$

Abstract

The region of filling factors $1/3<\nu <2/5$ is predicted to support new types of fractional quantum Hall states with topological order different from that of the Laughlin-Jain or the Moore-Read states. Incompressibility is a necessary condition for the formation of such novel topological states. We find that at 6.9~mK incompressibility develops only at $\nu =4/11$ and $5/13$, while the states at $\nu =6/17$ and $3/8$ remain compressible. Our observations at $\nu =4/11$ and $5/13$ are first steps towards understanding emergent topological order in these fractional quantum Hall states.

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional Quantum Hall Effect in the Second Landau Level
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid

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• Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• A Highly Correlated Topological Bubble Phase of Composite Fermions
• Anomalously low magnetoroton energies of the unconventional fractional quantum Hall states of composite fermions
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$
• Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Delocalization and Universality of the Fractional Quantum Hall Plateau-to-Plateau Transitions
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Fractional Quantum Hall Filling Factors from String Theory using Toric Geometry
• Cascade of fractional quantum Hall states in 2D system
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations
• Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride
• Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE