Was discussing something similar on another site.
You need an N fet like this one Infineon BSR802N L6327
Copy/paste from CraigHB
<It's not a complicated task to switch power to the battery monitor, just use a small power MOSFET in an SOT23 package which is not terribly small or hard to work with. The MOSFET gate is driven by the atomizer. The drain and source of the MOSFET switch the power supply to the monitor.
To work with the logic polarity of the atomizer (high = on, low = off) you need to use an N-channel MOSFET configured as a low side switch. The low side (battery negative) for the monitor is switched, not the high side (battery positive). The connection is as follows;
Ground for the detector connected to NMOS drain.
Battery negative connected to NMOS source.
A pull-down resistor connected from gate to source.
Atomizer positive connected to the gate.>
<That FET you selected should do the job just fine. You could even go as high as a 1/2 Ohm "on" resistance since the currents required to power the monitor are pretty low reducing the effect of switch resistance on voltage drops.
Pull down resistor values are not critical, anything between 4.7k and 47k should be fine. 10k would be a typical value.>