Mixed States of Composite Fermions Carrying Two and Four Vortices

Abstract

There now exists preliminary experimental evidence for some fractions, such as $\nu$ = 4/11 and 5/13, that do not belong to any of the sequences $\nu =n/(2pn\pm 1)$, $p$ and $n$ being integers. We propose that these states are mixed states of composite fermions of different flavors, for example, composite fermions carrying two and four vortices. We also obtain an estimate of the lowest-excitation dispersion curve as well as the transport gap; the gaps for 4/11 are smaller than those for 1/3 by approximately a factor of 50.

Accepted for PRB rapid communication (scheduled to appear in Nov 15, 2000 issue)

References in corpus (2)

• Cooper Instability of Composite Fermions
• Magneto-roton excitation of fractional quantum Hall effect: Comparison between theory and experiment

Cited by in corpus (22)

• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Fermion Chern Simons Theory of Hierarchical Fractional Quantum Hall States
• Fractional Quantum Hall Effect in the Second Landau Level: the Importance of Inter-Composite-Fermion Interaction
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• 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
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Energy, interaction, and photoluminescence of spin-reversed quasielectrons in fractional quantum Hall systems
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• States of interacting composite fermions at Landau level fillig $\nu =2+3/8$
• Composite fermions in the neighborhood of $\nu =1/3$
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Reversed-Spin Quasiparticles in Fractional Quantum Hall Systems and Their Effect on Photoluminescence
• Probing fractional quantum Hall effect by photoluminescence
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations
• Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE