Energy dispersion and electron g-factor of quantum wire in external electric and magnetic fields with Rashba spin orbit interaction

► We study the energy dispersion relations of the spin split subbands in a quantum wire. ► We have solved the effect of external electric and magnetic field with Rashba on quantum wire. ► We find that the energy gaps between different subbands and symmetries are shifted. ► We have determined the electron g-factor for various subbands in quantum wire. We study the energy dispersion relations of the spin split subbands in a quantum wire subjected to external transverse electric and magnetic fields in the presence of Rashba spin orbit interaction. For an infinite superlattice wire, we find that the energy gaps between different subbands are shifted due to Rashba spin orbit interaction and external electric field. We have also determined the electron g-factor for various subbands in quantum wire and it is shown that the g-factor is strongly affected by the combined effects of external electric field, magnetic field and Rashba spin orbit interaction strength.