Hamiltonian Description of Composite Fermions: Calculation of Gaps

Abstract

We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high momenta (due to the finite thickness of the sample) we find good agreement with numerical and experimental results.

4 pages, 2 eps figures. One reference added, some typos (one in equation 7) corrected, and minor notational modifications

References in corpus (5)

• Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
• Towards a field theory of the fractional quantum Hall states
• A dipole interpretation of the $\nu =1/2$ state
• Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
• Scaling Relations for Gaps in Fractional Quantum Hall States

Cited by in corpus (14)

• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Hamiltonian theory of fractionally filled Chern bands
• Hamiltonian Theory of the Composite Fermion Wigner Crystal
• Hamiltonian theory of gaps, masses and polarization in quantum Hall states: full disclosure
• The $\nu =\frac{1}{2}$ Landau level: Half-full or half-empty?
• A Composite Fermion Hofstader Problem: Partially Polarized Density Wave States in the 2/5 FQHE
• Hamiltonian Description of Composite Fermions: Magnetoexciton Dispersions
• Hamiltonian Description of Composite Fermions: Aftermath
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Activation energies for spin-reversed excitations in the fractional quantum Hall effect
• Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions
• Finite Temperature Magnetism in Fractional Quantum Hall Systems: Composite Fermion Hartree-Fock and Beyond
• Anisotropic transport for $\nu =2/5$ FQH state at intermediate magnetic field
• Effective mass of composite fermion: a phenomenological fit in with anomalous propagation of surface acoustic wave