An exactly solvable model for the quantum Hall effect

Hamiltonians in Magnetic Fields

08 November 15:30 - 16:30

Anders Karlhede - Stockholm University

The fractional quantum Hall effect occurs in a two-dimensional electron gas subject to a strong perpendicular magnetic field. I will present a Hamiltonian that describes a limiting case of this system of interacting electrons and for which the eigenstates, and eigenvalues, can be obtained. The analysis of the model is simple, almost trivial, but nevertheless have many of the non-trivial properties characteristic of the fractional quantum Hall effect such as excitations with fractional electric charge.
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen