Space-Charge-Limited Current in Quantum Regime by Solving the Schrödinger-Poisson Equation Based on Finite Element Method

Abstract

The Child-Langmuir law gives the maximum electron current, known as the space-charge- limited current. In a previous work of Lau et ah, they extended the classical work of Child and Langmuir to the quantum regime by using the Wentzel-Kramers-Brillouin-Jefferys method. Here, we quantitatively investigate the space-charge-limited current in quantum regime by solving the Schrodinger-Poisson equation based on finite element method.