Dynamics of a Tightly Bound Planar Quantum Dot Subject to Landau Quantization

We have examined the quantum dynamics of a tightly bound planar (2-D) quantum dot subject to Landau quantization in a high magnetic field. The dot is taken to be set on a 2-D host sheet in a perpendicular magnetic field, and it is represented by a 2-D Dirac delta-function potential, which would support just a single subband state in the absence of the magnetic field. The integral equation for the Schro¿dinger Green´s function of this system is solved in closed form analytically, and we have studied the dispersion relation for the single-particle subband energy spectrum. We find that it has a plethora of single-particle subband modes induced by Landau quantization.