Work

Energy spectrum of bilayer graphene with magnetic quantum structures studied using the Dirac equation

Year: 2021
Type: article
Abstract: 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.
Institution: Soongsil University
Language: English
Open Access status: hybrid
Estimated APC paid: $2,850
OpenAlex ID: W3204085692
FWCI: 0.152
Cites: 50
Cited by: 2
Related to: 10