QUANTUM SCATTERING STATES IN OPEN 2-DIMENSIONAL ELECTRONIC SYSTEMS

We present a method to solve the two-dimensional effective-mass Schrod inger equation for scattering states on open boundary domains. The bou ndary conditions are developed by partial wave expansion of the known far-field solution and by enforcing continuity of the complex wavefunc tion and its derivative across the domain periphery. The problem is fo rmulated within the finite element method and the algorithm is used to solve for the scattering states of a two-dimensional electron gas wit h point scatterers. This technique may be used to study the local fiel d effects within the vicinity of scattering defects in mesoscopic stru ctures.