Instabilities Toward Charge Density Wave and Paired Quantum Hall State of Half-Filled Landau Levels

dc.creatorWang, Ziqiang
dc.date1999-11-17
dc.date.accessioned2026-07-07T03:15:10Z
dc.date.available2026-07-07T03:15:10Z
dc.descriptionWe study the stability of spin-resolved Landau levels at electron filling factor $ν=n+1/2$, 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 $n(n+1/2)>15.54 π(a_B^*)^2 n_e$, 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 $3.49(π{\ab}^2)n_e<n^2(n+1/2)<20.22π(a_B^*)^2 n_e$. The competition between charge density wave order and paired quantum Hall state is discussed in connection to recent experiments.
dc.description4 RevTex pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9911265
dc.identifierhttp://arxiv.org/abs/cond-mat/9911265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29934
dc.subjectMesoscale and Nanoscale Physics
dc.titleInstabilities Toward Charge Density Wave and Paired Quantum Hall State of Half-Filled Landau Levels
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