|
|||||
|
|
The nature of the spectrum for a Landau Hamiltonian with delta impurities |
|
| Authors: | T. C. Dorlas N. Macris J. V. Pulé |
| Affiliation: | (1) Department of Mathematics, University College of Swansea, Singleton Park, SA2 8PP Swansea, Wales, U.K.;(2) Institut de Physique Théorique, Ecole Polytechnique Fédérale de Lausanne, CH 1015 Lausanne, Switzerland;(3) Department of Mathematical Physics, University College, Belfield, Dublin 4, Ireland;(4) School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin, Ireland |
| Abstract: | We consider a single-band approximation to the random Schrödinger operator in an external magnetic field. The random potential consists of delta functions of random strengths situated on the sites of a regular two-dimensional lattice. We characterize the entire spectrum of this Hamiltonian when the magnetic field is sufficiently high. We show that the whole spectrum is pure point, the energy coinciding with the first Landau level in the absence of a random potential being infinitely degenerate, while the eigenfunctions corresponding to energies in the rest of the spectrum are localized. |
| Keywords: | Quantum Hall effect Landau Hamiltonian localization localization length delta impurities |
| 本文献已被 SpringerLink 等数据库收录！ | |