Dirac Electrons in a Magnetic Quantum Ring

Park, Dae Han; Kim, Nammee

doi:10.3938/jkps.77.1233

Cited by 2 publications

(2 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this subsection, we discuss the electronic properties of BLG with an MQR. For a fixed ring area with parallel magnetic fields (α 1 = α 2 ), the results for the eigenenergy spectra show nothing unusual compared with the cases of 2DEG and monolayer graphene [34,[37][38][39].…”

Section: A Magnetic Quantum Dotmentioning

confidence: 88%

Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation

Park,

Kim,

Kim

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The electronic properties of bilayer graphene with a magnetic quantum dot and a magnetic quantum ring are investigated. The eigenenergies and wavefunctions of quasiparticle states are calculated analytically by solving decoupled fourth-order differential equations. For the magnetic quantum dot, in the case of a negative inner magnetic field, two peculiar characteristics of the eigenenergy evolution are found: (i) the energy eigenstates change in a stepwise manner owing to energy anticrossing and (ii) the quantum states approach zero energy. For the magnetic quantum ring, there is an angular momentum transition of eigenenergy as the inner radius of the ring varies, and the Aharonov-Bohm effect is observed in the eigenenergy spectra for both positive and negative magnetic fields inside the inner radius.

show abstract

Section: A Magnetic Quantum Dotmentioning

confidence: 88%

Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation

Park,

Kim,

Kim

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this subsection, we discuss the electronic properties of BLG with an MQR. For a fixed ring area with parallel magnetic fields (α 1 = α 2 ), the results for the eigenvalue spectra show nothing unusual compared with the cases of 2DEG and monolayer graphene [36,[39][40][41]. Here, we investigate BLG with an MQR from a different perspective.…”

Section: Magnetic Quantum Ringmentioning

confidence: 96%

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

Park

Kim

2021

Semicond. Sci. Technol.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Dirac Electrons in a Magnetic Quantum Ring

Cited by 2 publications

References 22 publications

Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation

Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation

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

Contact Info

Product

Resources

About