A dipole interpretation of the state

1997/12/15 by V. Pasquier, Vincent Pasquier, F. D. M. Haldane · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1016/s0550-3213(98)00069-8

flatex t157_txt.tex, 1 file Submitted to: Nucl. Phys. B

arxiv created 1997/12/15 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

We consider the problem of Bosonic particles interacting repulsively in a strong magnetic field at the filling factor ν=1. We project the system in the Lowest Landau Level and set up a formalism to map the dynamics into an interacting Fermion system. Within a mean field approximation we find that the composite Fermions behave as a gas of neutral dipoles and we expect that the low energy limit also describes the physical ν=1/2 Fermionic state.

Cited by

• Jain states in a matrix theory of the quantum Hall effect
• Hamiltonian theory of the fractional quantum Hall effect: Conserving approximation for incompressible fractions
• Landau-Ginzburg theories for non-abelian quantum Hall states
• Orthogonality catastrophe and spontaneous symmetry breaking in double-layer Fermi-liquid–like states
• Semiclassical droplet states in matrix quantum Hall effect
• Single-particle path integral for composite fermions and the renormalization of the effective mass