2006/09/27 by Katarzyna Czajka, Anna Gorczyca, Maciej M. Maska +2
Engineering · Materials Science · Physics and Astronomy · #Graphene research and applications #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.74.125116
published as Phys. Rev. B 74, 125116 (2006) · 7 pages, 5 figures, revtex
openalex publication_date 2006/09/27 · arxiv created 2007/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate a finite two-dimensional system in the presence of an external magnetic field. We discuss how the energy spectrum depends on the system size, boundary conditions, and Coulomb repulsion. On one hand, using these results, we present the field dependence of the transport properties of a nanosystem. In particular, we demonstrate that these properties depend on whether the system consists of an even or an odd number of sites. On the other hand, on the basis of exact results obtained for a finite system, we investigate whether the Hofstadter butterfly is robust against strong electronic correlations. We show that for sufficiently strong Coulomb repulsion, the Hubbard gap decreases when the magnetic field increases.