Hamiltonian Description of Composite Fermions: Aftermath

Abstract

The Lowest Landau Level (LLL), long distance theory of Composite Fermions (CF) developed by Murthy and myself is minimally extended to all distances, guided by very general principles. The resulting theory is mathematically consistent, and physically appealing: we clearly see the electron and the vortices binding to form the CF. The meaning of the constraints, their role in ensuring compressibility of dipolar objects at $\nu =1/2$, and the observability of dipoles are clarified.

Revised for publication in PRL, 4 - epsilon pages

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
• Hamiltonian Description of Composite Fermions: Calculation of Gaps
• Scaling Relations for Gaps in Fractional Quantum Hall States

Cited by in corpus (16)

• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Optically Pumped NMR Studies of Electron Spin Polarization and Dynamics: New Constraints on the Composite Fermion Description of nu = 1/2
• 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?
• Hamiltonian Theory of the Fractional Quantum Hall Effect: Effect of Landau Level Mixing
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions
• Magnetic phenomena at and near nu =1/2 and 1/4: theory, experiment and interpretation
• Hamiltonian theory of the half-filled Landau level with disorder: Application to recent NMR data
• Chern-Simons theory of multi-component quantum Hall systems
• Collective excitations of quantum Hall states under tilted magnetic field
• Phonon-mediated drag at $\nu =1/2$: A test of the Chern-Simons composite fermion theory
• Dipoles and fractional quantum Hall masses
• The Hydrodynamical Limit of Quantum Hall system
• Emergence of Dirac Composite Fermions: Dipole Picture