Wavelet solution of the Schrödinger equation for a triangular potential barrier and applied results on a MOM tunnel junction

Quantum tunneling has many important applications in electronics. In thin layers structures, when the tunneling phenomenon occurs at the metal-insulator contact barrier, as for the MIM or MOS structures, we are dealing with the Fowler-Nordheim field emission. In these structures we have to calculate the currents densities that go through. The current density is calculated based on the transmission coefficient through the barrier, which is determined by solving the Schrödinger equation. The calculation methods currently used lead to values that get predictions of emission current density too low. The transmission coefficient is calculated by wavelet approximation and the results are validated experimentally on a lateral MOM tunnel junction.