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.

5 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

Cited by in corpus (9)

• Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6
• Reentrant topological phases in Mn-doped HgTe quantum wells
• Possible Reentrance of the Fractional Quantum Hall Effect in the Lowest Landau Level
• Transition from Free to Interacting Composite Fermions away from $\nu$=1/3
• On the self-similarity in quantum Hall systems
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid
• Spin-excitations of the quantum Hall ferromagnet of composite fermions
• Second Generation of Composite Fermions and the Self-Similarity of the Fractional Quantum Hall Effect
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations