Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1997-01-09
Z. Phys. B 103, 441 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
RevTeX, 10 pages, 14 PostScript figures
Scientific paper
10.1007/s002570050398
We consider a disordered two-dimensional system of independent lattice electrons in a perpendicular magnetic field with rigid confinement in one direction and generalized periodic boundary conditions (GPBC) in the other direction. The objects investigated numerically are the orbits in the plane spanned by the energy eigenvalues and the corresponding center of mass coordinate in the confined direction, parameterized by the phase characterizing the GPBC. The Kubo Hall conductivity is expressed in terms of the winding numbers of these orbits. For vanishing disorder the spectrum of the system consists of Harper bands with energy levels corresponding to the edge states within the band gaps. Disorder leads to broadening of the bands. For sufficiently large systems localized states occur in the band tails. We find that within the mobility gaps of bulk states the Diophantine equation determines the value of the Hall conductivity as known for systems with torus geometry (PBCs in both directions). Within the spectral bands of extended states the Hall conductivity fluctuates strongly. For sufficiently large systems the generic behavior of localization-delocalization transitions characteristic for the quantum Hall effect are recovered.
Hajdu Janos
Huckestein Bodo
Janssen Martin
Schulze Christian
No associations
LandOfFree
Lattice Electrons on a Cylinder Surface in the Presence of Rational Magnetic Flux and Disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lattice Electrons on a Cylinder Surface in the Presence of Rational Magnetic Flux and Disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice Electrons on a Cylinder Surface in the Presence of Rational Magnetic Flux and Disorder will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-619017