Publication
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.
Pedro Miguel Nunes Pereira de Almeida Reis, Matteo Pezzulla, Dong Yan
Diego Ghezzi, Mahmut Selman Sakar, Lorenzo Francesco John Noseda, Amit Yedidia Dolev, Adele Fanelli