Confinement of two-dimensional excitons in a non-homogeneous magnetic field

Abstract

The effective Hamiltonian describing the motion of an exciton in an external non-homogeneous magnetic field is derived. The magnetic field plays the role of an effective potential for the exciton motion, results into an increment of the exciton mass and modifies the exciton kinetic energy operator. In contrast to the homogeneous field case, the exciton in a non-homogeneous magnetic field can also be trapped in the low field region and the field gradient increases the exciton confinement. The trapping energy and wave function of the exciton in a GaAs two-dimensional electron gas for specific circular magnetic field configurations are calculated. The results show than excitons can be trapped by non-homogeneous magnetic fields, and that the trapping energy is strongly correlated with the shape and strength of the non-homogeneous magnetic field profile.

9 pages, 12 figures

References in corpus (1)

• Quantum states in a magnetic anti-dot

Cited by in corpus (7)

• Magnetic quantum dots and rings in two dimensions
• Fine structure of excitons in a quantum well in the presence of a nonhomogeneous magnetic field
• Hall effect for indirect excitons in an inhomogeneous magnetic field
• The effect of the Abrikosov vortex phase on spin and charge states in magnetic semiconductor-superconductor hybrids
• Observations of indirect exciton trapping in one- and two-dimensional magnetic lattices
• Exciton trapping in magnetic wire structures
• The effect of impurities on spin polarized Zeeman bound states in dilute magnetic semiconductor-superconductor hybrids