2021/06/21 by Daehan Park, Heesang Kim, Nammee Kim
Materials Science · Physics and Astronomy · #Angular momentum #Angular momentum coupling #Azimuthal quantum number #Bilayer graphene #Condensed matter physics #Eigenvalues and eigenvectors #Graphene #Graphene research and applications #Magnetic field #Physics #Principal quantum number #Quantum #Quantum and electron transport phenomena #Quantum dissipation #Quantum electrodynamics #Quantum mechanics #Quantum number #Quasiparticle #Topological Materials and Phenomena #Total angular momentum quantum number #Wave function #cond-mat.mes-hall
paper · pdf · doi:10.1088/1361-6641/ac2964
arxiv created 2021/06/21 · openalex publication_date 2021/09/23 · openalex created_date 2021/10/11 · arxiv updated 2021/11/17 · openalex updated_date 2026/08/05
The electronic energy spectrum of bilayer graphene with a magnetic quantum dot (MQD) and a magnetic quantum ring (MQR) are investigated. The energy eigenvalues and wavefunctions of quasiparticle states are calculated analytically by solving decoupled fourth-order differential equations. For the MQD, in the case of a negative inner magnetic field, two peculiar characteristics of the eigenvalue evolution are found: (a) the energy eigenstates change in a stepwise manner owing to energy anticrossing and (b) the quantum states approach zero energy. For the MQR, there is an angular momentum transition of eigenvalue as the inner radius of the ring varies, and the Aharonov–Bohm effect is observed in the eigenvalue spectra for both positive and negative magnetic fields inside the inner radius.