2007/07/31 by M. Tahir, K. Sabeeh · 62 citations
Materials Science · Physics and Astronomy · #Amplitude #Condensed matter physics #Dirac (video compression format) #Electron #Fermi gas #Graphene #Graphene research and applications #Landau quantization #Magnetic field #Physics #Quantum and electron transport phenomena #Quantum mechanics #Sigma #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.77.195421
published in Physical Review B 77(19) (American Physical Society) · Accepted in PRB: 10 pages, 3 figures
arxiv created 2008/04/11 · openalex publication_date 2008/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is weakly and periodically modulated along one direction. We find that the Landau levels broaden into bands and their width oscillates as a function of the band index and the magnetic field. We determine the \ensuremathσyy component of the magnetoconductivity tensor for this system, which is shown to exhibit Weiss oscillations. We also analytically determine the asymptotic expressions for \ensuremathσyy. We compare these results to recently obtained results for electrically modulated graphene, as well as those for a magnetically modulated conventional two-dimensional electron gas (2DEG) system. We find that in the magnetically modulated graphene system considered in this work, Weiss oscillations in \ensuremathσyy have a reduced amplitude compared to that in the 2DEG but are less damped by temperature, while they have a higher amplitude than in the electrically modulated graphene system. We also find that these oscillations are out of phase by \ensuremathπ with those of the electrically modulated system while they are in phase with those in the 2DEG system.