While I think their implementation should be done carefully, I believe they can have an important role in two areas which will improve balance and improve the gameplay experience: spotting and spawn protection.
I do not think either anti-personnel or anti-tank mines should be highly destructive weapons that can be placed anywhere. I do think both, however, could be excellent spawn protection tools, with a limited placement area near your own team’s spawn.
I also think a spotting feature would be a beneficial addition. These would act like the spotting mechanic, producing a red marker, but visible for longer. This could be the feature of mines placed away from spawn - both AP and AT - which do very little damage but highlight infantry and vehicles for a short time. Spotting through mines should have a unique visual marker.
In this way, mines will have utility but not too much power, and will be a good counter to spawn rushing, particularly by fast vehicles which find avoiding explosion packs easier.
In short:
Near spawn: AT mines do large damage to vehicles, and infantry
Away from spawn: AT and AP mines provide accurate, short-term spotting
An on-screen notification will notify the player when they move from one zone to the other.