Bosonization of the two-dimensional electron gas in the lowest Landau level

http://arxiv.org/abs/cond-mat/9801318v1We develop a bosonization scheme for the collective dynamics of a spinless two- dimensional electron gas (2DEG) in the lowest Landau level. The system is treated as a continuous elastic medium, and quantum commutation relations are imposed between orthogonal components of the elastic displacement field. This theory provides a unified description of bulk and edge excitations of compressible and incompressible phases, and explains the results of recent tunneling experiments at the edge of the 2DEG.This work was supported by NSF grant No. DMR- 9706788