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.