Effects of spin–orbit interaction on the electronic structure of mono-layer quantum wires

•SOI and external factor effects on the electronic structure of a MLQW are studied.•External factors and SOI have dependent effects on the energy eigenvalues.•External factor effects and SOI depend on the orientation of electric field.•SOI switch is proposed by applying proper electric field.

Simultaneous effects of spin–orbit interaction, external electric and magnetic fields and dimension on the electronic structure of a mono-layer quantum wire are investigated in this paper. Due to the direct effects of external electric field on the structure's symmetries and spin–orbit interaction, energy eigenvalues and functions of the system are calculated with axial or in-plane electric field. It is shown that spin–orbit interaction modifies energy eigenvalues and functions of the system with regard to external factors.