Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-11-17
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 RevTex pages, no figures
Scientific paper
We study the stability of spin-resolved Landau levels at electron filling factor $\nu=n+1/2$, where n is a positive integer. Representing the half-filled topmost Landau level by fermions and the n filled inner Landau levels by n bosons, coupled to the Chern-Simons gauge fields, we show that the ground states exhibit charge density wave order for $n(n+1/2)>15.54 \pi(a_B^*)^2 n_e$, where $n_e$ is the 2D carrier density and $a_B^*$ is the effective Bohr radius. We find that the pairing interaction mediated by the fluctuating gauge field is enhanced near the charge density wave instability such that p-wave pairing of the Chern-Simons fermions prevails for $3.49(\pi{\ab}^2)n_e
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