On Laughlin's wave function for the fractional quantum Hall effect

  • Sabine Jansen (TU Berlin)
Raum 01/22 Universität Leipzig (Leipzig)


Two-dimensional electron gases subjected to a perpendicular magnetic field display a curious physical effect known as the quantum Hall effect. In order to explain this effect, Laughlin proposed a simple wave function as an approximate ground state. Laughlin's function involves the power of a Vandermonde determinant and a Gaussian weight. This talk presents exact results on the L^2 norm and correlation functions in the limit of infinitely many particles when Laughlin's function is adapted to a cylindrical geometry. The results are also of interest for the classical statistical mechanics of Coulomb gases. The talk is based on joint work with Ruedi Seiler and Elliott H. Lieb.

20.11.06 26.01.09

Oberseminar Statistical Mechanics

Universität Leipzig Felix-Klein-Hörsaal

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail