2021/01/05 by F. R. Pratama, M. Shoufie Ukhtary, Riichiro Saito
Chemistry · Materials Science · Physics and Astronomy · #2D Materials and Applications #Anderson impurity model #Band gap #Chemistry #Condensed matter physics #Dirac fermion #Fermion #Graphene research and applications #Impurity #Magnetic field #Magnetization #Oscillation (cell signaling) #Physics #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.103.245408
published as Phys. Rev. B 103, 245408 (2021) · 13 pages, 11 figures
arxiv created 2021/01/05 · openalex publication_date 2021/06/04 · arxiv updated 2021/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We theoretically study magnetic field, temperature, and energy band-gap dependences of magnetizations in the Dirac fermions. We use the zeta function regularization to obtain analytical expressions of thermodynamic potential, from which magnetization of graphene for strong field/low temperature and weak field/high temperature limits are calculated. Further, we generalize the result by considering the effects of impurity on orbital susceptibility of graphene. In particular, we show that in the presence of impurity, the susceptibility follows a scaling law which can be approximated by the Faddeeva function. In the case of massive Dirac fermions, we show that a large band gap gives a robust magnetization with respect to temperature and impurity. In the doped Dirac fermion, we discuss the dependences of period and amplitude of the de Haas-van Alphen oscillation on band gap.