MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

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

Sergio Conti and Giovanni Vignale


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. 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.


Related publications

1998 Repository Open Access
Giovanni Vignale and Sergio Conti

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

In: Journal of physics / Condensed matter, 10 (1998) 50, L779-L786