Microscopic origin of the next generation fractional quantum Hall effect

Abstract

Most of the fractions observed to date belong to the sequences $\nu =n/(2pn\pm 1)$ and $\nu =1-n/(2pn\pm 1)$, $n$ and $p$ integers, understood as the familiar {\em integral} quantum Hall effect of composite fermions. These sequences fail to accommodate, however, many fractions such as $\nu =4/11$ and 5/13, discovered recently in ultra-high mobility samples at very low temperatures. We show that these "next generation" fractional quantum Hall states are accurately described as the {\em fractional} quantum Hall effect of composite fermions.

References in corpus (12)

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Cited by in corpus (30)

• Non-Abelian Anyons and Topological Quantum Computation
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Quantum Hall system in Tao-Thouless limit
• Composite fermion wave functions as conformal field theory correlators
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Non-Abelian states with negative flux: a new series of quantum Hall states
• Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids
• Fractional Quantum Hall Effect and Wigner Crystal of Two-Flux Composite Fermions
• Hierarchy wave functions--from conformal correlators to Tao-Thouless states
• Fractional Quantum Hall Effect in the Second Landau Level: the Importance of Inter-Composite-Fermion Interaction
• Tripartite Composite Fermion States
• Scaling flow diagram in the fractional quantum Hall regime of GaAs/AlGaAs heterostructures
• Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4
• Quantum Hall hierarchy from coupled wires
• Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level
• Spin phase diagram of the nu_e=4/11 composite fermion liquid
• Change in the character of quasiparticles without gap collapse in a model of fractional quantum Hall effect
• Transition from Free to Interacting Composite Fermions away from $\nu$=1/3
• The Hierarchy of Incompressible Fractional Quantum Hall States
• On the self-similarity in quantum Hall systems
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid
• Fractional quantum Hall effect arising from repulsive three body interaction
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• Pair-distribution functions of correlated composite fermions
• States of interacting composite fermions at Landau level fillig $\nu =2+3/8$
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Chern-Simons theory of multi-component quantum Hall systems
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations
• Fractional quantum Hall states in charge-imbalanced bilayer systems