Field Theory of the Fractional Quantum Hall Effect-I

Details Field Theory of the Fractional Quantum Hall Effect-I Field Theory of the Fractional Quantum Hall Effect-I

1998-02-23

arxiv.org/abs/cond-mat/9802244v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

42 pages Latex To appear in Composite Fermions, edited by Olle Heinonen. Replacement has single spacing

Scientific paper

We provide details of a shorter letter and cond-mat/9702098 and some new results. We describe a Chern-Simons theory for the fractional quantum Hall states in which magnetoplasmon degrees of freedom enter. We derive correlated wavefunctions, operators for creating quasiholes and composite fermions and bosons (which are electrons bound to zeros). We show how the charge of these particles and mass gets renormalized to the final values and compute the effective mass approximately. By deriving a hamiltonian description of the composite fermions and bosons and their charge and current operators, we make precise and reconcile many notions that have been associated with them.

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