SOLVING THE POISSONS AND SCHRODINGERS EQUATIONS TO CALCULATE THE ELECTRON-STATES IN QUANTUM NANOSTRUCTURES USING THE FINITE-ELEMENT METHOD

In recent gears, the sizes of semi-conductor nanostructures have becom e so small that we have to take into account quantum effects [1], [2]. Simultaneously the real geometry of the device is important. In this paper, the two dimensional electron wave functions and the quantized s tates energies Pre calculated from the Schrodinger's equation coupled with Poisson's equation using II finite element method. The system of equations is solved iteratively to a self consistent solution. We have simulated two devices with different carriers confinement. We obtain the carriers density and energy, conduction band and potential in thes e structures.