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We present theoretically the electronic structure of antiferromagnetic (AFM)FeSe monolayer on TiO$_{2}$ terminated SrTiO$_{3}$(001) surface. It is revealedthat the striking disappearance of the Fermi surface around the Brillouin zone(BZ) center can be well explained by the antiferromatnetic (AFM) phase. We showthat the system has a considerable charge transfer from SrTiO$_{3}$(001)substrate to FeSe monolayer, and so has a self-constructed electric field. TheFeSe monolayer band structure near the BZ center is sensitive to charge doping,and the spin-resolved energy bands at BZ corner are distorted to be flattenedby the perpendicular electric field. We propose a tight-binding modelHamiltonian to take these key factors into account. We also show that thiscomposite structure is an ideal electron-hole bilayer system, with electronsand holes respectively formed in FeSe monolayer and TiO$_{2}$ surface layer.

Antifferomagnetic FeSe monolayer on SiTiO$_{3}$: The charge doping and electric field effects