2000/07/28 by John J. Quinn, Arkadiusz Wojs, Jennifer J. Quinn +3
Physics and Astronomy · #Angular momentum #Boson #Composite fermion #Fermion #Fractional quantum Hall effect #Magnetic field #Magnetic properties of thin films #Physics #Physics of Superconductivity and Magnetism #Pseudopotential #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum number #Quantum spin Hall effect #cond-mat.mes-hall
paper · pdf · doi:10.1016/s1386-9477(00)00293-9
published as Physica E 9, 701 (2001) · 5 pages, 4 figures, submitted to Physica E
arxiv created 2000/07/28 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A Fermion to Boson transformation is accomplished by attaching to each Fermion a single flux quantum oriented opposite to the applied magnetic field. When the mean field approximation is made in the Haldane spherical geometry, the Fermion angular momentum lF is replaced by lB= lF-1\over2(N-1). The set of allowed total angular momentum multiplets is identical in the two different pictures. The Fermion and Boson energy spectra in the presence of many body interactions are identical if and only if the pseudopotential is ``harmonic'' in form. However, similar low energy bands of states with Laughlin correlations occur in the two spectra if the interaction has short range. The transformation is used to clarify the relation between Boson and Fermion descriptions of the hierarchy of condensed fractional quantum Hall states.