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.


Published in:
Journal of Mathematical Physics, 37, 1574-1595
Year:
1996
Laboratories:




 Record created 2007-02-16, last modified 2018-03-17

n/a:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)