Partially spin polarized quantum Hall effect in the filling factor range 1/3 < nu < 2/5

Abstract

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict that quantum Hall effect with partial spin polarization is possible at several fractions between $\nu =1/3$ and $\nu =2/5$. The estimated excitation gaps are approximately two orders of magnitude smaller than the gap at $\nu =1/3$, confirming that the inter-CF interaction is extremely weak in higher CF levels.

4 pages, 3 figures

References in corpus (8)

• Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
• Fractional Quantum Hall Effect of Composite Fermions
• Band Structure of the Fractional Quantum Hall Effect
• Theoretical Search for Nested Quantum Hall Effect of Composite Fermions
• Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes
• Structures for Interacting Composite Fermions: Stripes, Bubbles, and Fractional Quantum Hall Effect
• Subdiffusive fluctuations of "pulled" fronts with multiplicative noise
• Evidence of Landau levels and interactions in low-lying excitations of composite fermions at 1/3 <= ν<= 2/5

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• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Microscopic origin of the next generation fractional quantum Hall effect
• Second Generation of Composite Fermions in the Hamiltonian Theory
• Fermion Chern Simons Theory of Hierarchical Fractional Quantum Hall States
• Tripartite Composite Fermion States
• Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Fractionally charged skyrmions in fractional quantum Hall effect
• Spin phase diagram of the nu_e=4/11 composite fermion liquid
• Transition from Free to Interacting Composite Fermions away from $\nu$=1/3
• Phase diagram of the Two-Component Fractional Quantum Hall Effect
• Fermionic Chern-Simons Theory of SU(4) Fractional Quantum Hall Effect
• Novel Families of Fractional Quantum Hall States : A Berry Phase Approach
• Composite fermions in the neighborhood of $\nu =1/3$
• Light Scattering by Low Lying Quasiparticle Excitations in the Fractional Quantum Hall Regime
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations