Effective Hamiltonian for striped and paired states at the half-filled Landau level

Details Effective Hamiltonian for striped and paired states at the half-filled Landau level Effective Hamiltonian for striped and paired states at the half-filled Landau level

2000-07-17

arxiv.org/abs/cond-mat/0007272v2

Nucl.Phys. B596 (2001) 567

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 10 figures, revised version, to be published in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00713-6

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.

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