2009/08/14 by A. L. C. Pereira, Ana L. C. Pereira
Materials Science · Physics and Astronomy · #Amplitude #Condensed matter physics #Degeneracy (biology) #Density of states #Graphene #Graphene research and applications #Ising model #Landau quantization #Lattice (music) #Magnetic field #Physics #Quantum and electron transport phenomena #Quantum mechanics #Square lattice #Square root #Topological Materials and Phenomena #Wave function #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1088/1367-2630/11/9/095019
published as New J. Phys. vol. 11, 095019 (2009) · 6 figures
arxiv created 2009/08/14 · openalex publication_date 2009/09/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The lifting of the degeneracy of 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 wavefunction 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 overlapped states remains approximately constant for a wide range of disorder or magnetic field variation.