Localisation in single Landau bands
We consider a single-band approximation to the random Schro¨dinger operator in an external magnetic field. The random potential is taken to be constant on unit squares and i.i.d. on each square with a bounded distribution. We prove that the eigenstates corresponding to energies at the edges of the Landau band are localized. This is an important ingredient in the theory of the Quantum Hall Effect.
Record created on 2007-02-16, modified on 2016-08-08