Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-08-14
New J. Phys. vol. 11, 095019 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 figures
Scientific paper
10.1088/1367-2630/11/9/095019
The lifting of the degeneracy of the states from the graphene $n$=0 Landau level (LL) is investigated through a non-interacting tight-binding model with random hoppings. A disorder-driven splitting of two bands and of two critical energies is observed by means of density of states and participation ratio calculations. The analysis of the probability densities of the states within the $n$=0 LL provides some insights into the interplay of lattice and disorder effects on the splitting process. An uneven spatial distribution of the wave function amplitudes between the two graphene sublattices is found for the states in between the two split peaks. It is shown that as the splitting is increased (linear increasing with disorder and square root increasing with magnetic field), the two split levels also get increasingly broadened, in such a way that the proportion of the overlapped states keeps approximately constant for a wide range of disorder or magnetic field variation.
No associations
LandOfFree
Splitting of critical energies in the $n$=0 Landau level of graphene 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 Splitting of critical energies in the $n$=0 Landau level of graphene, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Splitting of critical energies in the $n$=0 Landau level of graphene will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-272823