Both Fujifilm X100F and Sony A6000 have 24.0 MP resolution sensors but Fujifilm X100F's sensor is APS-C (23.6 x 15.6 mm ) and Sony A6000's sensor is APS-C (23.5 x 15.6 mm ).
Since Fujifilm X100F's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Sony A6000.
Another difference between these two cameras is that Fujifilm X100F's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the X100F and A6000 sensor size comparison.
Fujifilm X100F and Sony A6000 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.