Semiconductor device having buried gate structure and method for fabricating the same

A method for fabricating a semiconductor device includes: forming a gate trench in a semiconductor substrate; forming a gate dielectric layer over a bottom surface and sidewalls of the gate trench; forming a first work function layer over the gate dielectric layer; doping a work function adjustment element to form a second work function layer which overlaps with the sidewalls of the gate trench; forming a gate conductive layer that partially fills the gate trench; and forming doped regions inside the semiconductor substrate on both sides of the gate trench.