Abstract

We study the effects of a magnetic flux and an inhomogeneous gap on the energy spectrum of graphene magnetic quantum dots (GMQDs). By considering the Dirac equation in the infinite mass framework, we analytically obtain eigenspinor expressions and an energy spectrum equation in terms of system parameters such as radius, magnetic field, flux, and gap. In the infinite limit, we recover Landau levels for graphene in a magnetic field. We show that the energy spectrum increases significantly in the presence of flux and a gap inside the GMQDs, which prolongs the lifetime of the trapped electron states. Higher flux also produces new Landau levels of negative angular momentum. Meanwhile, the gap increases the separation between the electron and hole energy bands. Radial probability analysis shows that flux and gap are influential factors in controlling electron mobility, affecting confinement and prolonging the presence of quasi-bound states.

Abstract

We study the effects of a magnetic flux and an inhomogeneous gap on the energy spectrum of graphene magnetic quantum dots (GMQDs). By considering the Dirac equation in the infinite mass framework, we analytically obtain eigenspinor expressions and an energy spectrum equation in terms of system parameters such as radius, magnetic field, flux, and gap. In the infinite limit, we recover Landau levels for graphene in a magnetic field. We show that the energy spectrum increases significantly in the presence of flux and a gap inside the GMQDs, which prolongs the lifetime of the trapped electron states. Higher flux also produces new Landau levels of negative angular momentum. Meanwhile, the gap increases the separation between the electron and hole energy bands. Radial probability analysis shows that flux and gap are influential factors in controlling electron mobility, affecting confinement and prolonging the presence of quasi-bound states.

Abstract

We study the effects of a magnetic flux and an inhomogeneous gap on the energy spectrum of graphene magnetic quantum dots (GMQDs). By considering the Dirac equation in the infinite mass framework, we analytically obtain eigenspinor expressions and an energy spectrum equation in terms of system parameters such as radius, magnetic field, flux, and gap. In the infinite limit, we recover Landau levels for graphene in a magnetic field. We show that the energy spectrum increases significantly in the presence of flux and a gap inside the GMQDs, which prolongs the lifetime of the trapped electron states. Higher flux also produces new Landau levels of negative angular momentum. Meanwhile, the gap increases the separation between the electron and hole energy bands. Radial probability analysis shows that flux and gap are influential factors in controlling electron mobility, affecting confinement and prolonging the presence of quasi-bound states.

Abstract

We study the effects of a magnetic flux and an inhomogeneous gap on the energy spectrum of graphene magnetic quantum dots (GMQDs). By considering the Dirac equation in the infinite mass framework, we analytically obtain eigenspinor expressions and an energy spectrum equation in terms of system parameters such as radius, magnetic field, flux, and gap. In the infinite limit, we recover Landau levels for graphene in a magnetic field. We show that the energy spectrum increases significantly in the presence of flux and a gap inside the GMQDs, which prolongs the lifetime of the trapped electron states. Higher flux also produces new Landau levels of negative angular momentum. Meanwhile, the gap increases the separation between the electron and hole energy bands. Radial probability analysis shows that flux and gap are influential factors in controlling electron mobility, affecting confinement and prolonging the presence of quasi-bound states.