Black phosphorus
is a promising material to serve as a barrier
for magnetic tunnel junctions (MTJs) due to weak van der Waals interlayer
interactions. In particular, the special band features of black phosphorus
may endow intriguing physical characteristics. Here we study theoretically
the effect of band gap tunability of black phosphorus on the MTJs
with the black phosphorus barrier. It is found that the tunneling
magnetoresistance (TMR) may transition from a finite value to infinity
owing to the variation in the band gap of black phosphorus. Combined
with the latest experimental results of the pressure-induced band
gap tunability, we further investigate the pressure effect of TMR
in the MTJs with a black phosphorus barrier. The calculations show
that the pressure sensitivity can be quite high under appropriate
parameters. Physically, the high sensitivity originates from the TMR
transition phenomenon. To take advantage of the high pressure sensitivity,
we propose and design a detailed structure of highly sensitive pressure
sensors based on MTJs with a black phosphorus barrier, whose working
mechanism is basically different from that of convential pressure
sensors. The present pressure sensors possess four advantages and
benifits: (1) high sensitivity, (2) good anti-interference, (3) high
spatial resolution, and (4) fast response speed. Our study may advance
new research areas for both the MTJs and pressure sensors.