2007/05/16 by Mikito Koshino, Tsuneya Ando
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.75.235333
8 pages, 4 figures, to appear in Physical Review B
arxiv created 2007/05/16 · openalex publication_date 2007/06/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The orbital magnetism is studied in graphene monolayer within the effective-mass approximation. In models of short-range and long-range disorders, the magnetization is calculated with self-consistent Born approximation. In the zero-field limit, the susceptibility becomes highly diamagnetic around zero energy, while it has a long tail proportional to the inverse of the Fermi energy. We demonstrated how the magnetic oscillation vanishes and converges to the susceptibility, in going from a strong-field regime to a weak-field regime. The behavior at zero energy is shown to be highly singular.