Second Generation of Composite Fermions in the Hamiltonian Theory

Abstract

In the framework of a recently developed model of interacting composite fermions restricted to a single level, we calculate the activation gaps of a second generation of spin-polarized composite fermions. These composite particles consist each of a composite fermion of the first generation and a vortex-like excitation and may be responsible for the recently observed fractional quantum Hall states at unusual filling factors such as nu=4/11,5/13,5/17, and 6/17. Because the gaps of composite fermions of the second generation are found to be more than one order of magnitude smaller than those of the first generation, these states are less visible than the usual states observed at filling factors nu=p/(2ps+1). Their stability is discussed in the context of a pseudopotential expansion of the composite-fermion interaction potential.

arXiv comment5 pages, 3 figures; after publication in PRB, we have realized that a factor was missing in one of the expressions; the erroneous results are now corrected; an erratum has been sent to PRB

References in corpus (11)

• Fractional Quantum Hall Effect of Composite Fermions
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Theory of the half-filled Landau level
• Two - Dimensional Electron Liquid in a Weak Magnetic Field
• A dipole interpretation of the $\nu =1/2$ state
• 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
• Hamiltonian theory of gaps, masses and polarization in quantum Hall states: full disclosure
• Partially spin polarized quantum Hall effect in the filling factor range 1/3 < nu < 2/5

Cited by in corpus (27)

• Non-Abelian states with negative flux: a new series of quantum Hall states
• Microscopic origin of the next generation fractional quantum Hall effect
• Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6
• Fermion Chern Simons Theory of Hierarchical Fractional Quantum Hall States
• Reentrant topological phases in Mn-doped HgTe quantum wells
• Tripartite Composite Fermion States
• Fractional Quantum Hall Effect in the Second Landau Level: the Importance of Inter-Composite-Fermion Interaction
• Scaling flow diagram in the fractional quantum Hall regime of GaAs/AlGaAs heterostructures
• Microwave resonance of the reentrant insulating quantum Hall phases in the 1st excited Landau Level
• 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
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• Pair-distribution functions of correlated composite fermions
• Phase diagram of the Two-Component Fractional Quantum Hall Effect
• States of interacting composite fermions at Landau level fillig $\nu =2+3/8$
• Spin-excitations of the quantum Hall ferromagnet of composite fermions
• Chern-Simons theory of multi-component quantum Hall systems
• Novel Families of Fractional Quantum Hall States : A Berry Phase Approach
• Second Generation of Composite Fermions and the Self-Similarity of the Fractional Quantum Hall Effect
• Fractional quantum Hall states in charge-imbalanced bilayer systems
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations