Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-08-04
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
15 pages, 7 figures
Scientific paper
We present a microscopic theory of ground-state spectral function of bilayer quantum Hall systems that includes interactions between Hartree-Fock quasiparticles and quantum fluctuations of the order parameter field. The collective modes in these systems are properly described only when fluctuations in direct and exchange particle-hole channels are taken into account. Using an auxiliary field functional integral approach, we present a generalization of the random phase approximation \emph{for quasiparticle self-energy} which captures fluctuations in both channels. We discuss its relationship to diagrammatic perturbation theory and an adiabatic approximation. We present simple analytical results for the quasiparticle self-energy and the renormalized order parameter that follow from this theory.
Joglekar Yogesh N.
MacDonald Allan. H.
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