2000/07/31 by Nobuki Maeda
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Crossover #Electron #Fermi gas #Graphene research and applications #Hamiltonian (control theory) #Landau quantization #Magnetic field #Mathematics #Mean field theory #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum oscillations #Quasiparticle #Shubnikov–de Haas effect #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00713-6
published as Nucl.Phys. B596 (2001) 567 · 14 pages, 10 figures, revised version, to be published in Nucl. Phys. B
arxiv created 2000/11/30 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a pairing mechanism for the quantum Hall system using a mean field theory with a basis on the von Neumann lattice, on which the magnetic translations commute. In the Hartree-Fock-Bogoliubov approximation, we solve the gap equation for spin-polarized electrons at the half-filled Landau levels. We obtain an effective Hamiltonian which shows a continuous transition from the compressible striped state to the paired state. Furthermore, a crossover occurs in the pairing phase. The energy spectrum and energy gap of the quasiparticle in the paired state is calculated numerically at the half-filled second Landau level.