Inhaltszusammenfassung

The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum hall effect. in order to understand the emergence of power-law delocalization near the discrete extended-state energies e-n = (h) over barw(c)(n + 1/2), we study a generalization of the disorder-averaged liouvillian framework for the lowest landau level to n flavors of electron densities (n = 1 for the physical case). w...The localization behavior of noninteracting two-dimensional electrons in a random potential and strong magnetic field is of fundamental interest for the physics of the quantum hall effect. in order to understand the emergence of power-law delocalization near the discrete extended-state energies e-n = (h) over barw(c)(n + 1/2), we study a generalization of the disorder-averaged liouvillian framework for the lowest landau level to n flavors of electron densities (n = 1 for the physical case). we find analytically the large-n limit and 1/n corrections for all disorder strengths: at n = infinity this gives an estimate of the critical conductivity, and at order 1/n an estimate of the localization exponent v.» weiterlesen» einklappen

Autoren

Klassifikation

DFG Fachgebiet:
3.17 - Theoretische Chemie

DDC Sachgruppe:
Physik