Simple theoretical analysis of the Fowler-Nordheim field emission from microstructures and quantum wires of optoelectronic materials

► We study Fowler-Nordheim field emission from micro-structures and quantum wires. ► We derive a new electron dispersion law in strong electric field for III-V materials. ► FNFE oscillates with 1/B, electron statistics and increases with electric field. ► For quantum wires, FNFE increases with thickness due to V-H singularity. ► All results transform in to the well-known FNFE formula under certain conditions.