Dynamics of the two-dimensional electron gas in the lowest Landau level: a continuum elasticity approach

We 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. The theory provides a unified description of bulk and edge excitations of compressible and incompressible phases and allows the calculation of the electronic tunnelling current, yielding results which are in good agreement with recent experiments at the edge and in the bulk of the 2DEG.