The Composite Fermion Hierarchy: Condensed States of Composite Fermion Excitations?

Abstract

A composite Fermion hierarchy theory is constructed in a way related to the original Haldane picture by applying the composite Fermion (CF) transformation to quasiparticles of Jain states. It is shown that the Jain theory coincides with the Haldane hierarchy theory for principal CF fillings. Within the Fermi liquid approach for few electron systems on the sphere a simple interpretation of many-quasiparticle spectra is given and provides an explanation of failure of CF hierarchy picture when applied to the hierarchical $4/11$ state.

6 pages, Revtex, 4 figures in PostScript, submitted to Phys. Rev. Lett

References in corpus (3)

• ``Fermi Liquid'' Shell Model Approach to Composite Fermion Excitation Spectra in Fractional Quantum Hall States
• Microscopic formulation of the hierarchy of quantized Hall states
• A First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect

Cited by in corpus (26)

• Quantum Hall system in Tao-Thouless limit
• Microscopic theory of the quantum Hall hierarchy
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Composite Fermions and quantum Hall systems: Role of the Coulomb pseudopotential
• Composite Fermions and the Fractional Quantum Hall Effect: Essential Role of the Pseudopotential
• Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Composite Fermion Approach to the Quantum Hall Hierarchy: When it Works and Why
• Spin phase diagram of the nu_e=4/11 composite fermion liquid
• Composite Fermions in Fractional Quantum Hall Systems
• Stability of fractional Chern insulators with a non-Landau level continuum limit
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid
• Energy, interaction, and photoluminescence of spin-reversed quasielectrons in fractional quantum Hall systems
• Novel Families of Fractional Quantum Hall States: Pairing of Composite Fermions
• The Fermion-Boson Transformation in Fractional Quantum Hall Systems
• Composite Fermions and the First-Landau-Level Fine Structure of the Fractional Quantum Hall Effect
• Composite fermions in the neighborhood of $\nu =1/3$
• Transformation of Statistics in Fractional Quantum Hall Systems
• Residual interactions and correlations among Laughlin quasiparticles: Novel hierarchy states
• Excitations of the $\nu =5/2$ Fractional Quantum Hall State and the Generalized Composite Fermion Picture
• Particle-Hole Mirror Symmetries around the Half-Filled Shell: The Quantum Numbers and Algebraic Structure of Composite Fermions
• 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
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Charge and Statistics of Quasiholes in Pfaffian States of Composite Fermion Excitations