Double pole breaker with the handles tied together.
Its the shared neutral which creates a circuit called a multi-wire or Edison multi-wire circuit, doesn't matter how its wired, romex or conduit and THHN wire, same difference. They want both hots to trip if one does. Also insures that you are using both busses or "phases" of the panelboard. With two separate breakers, improperly installed, both on the same side of the buss (electrically), you would overload the neutral.
Neutral must be wired so the removal of a receptacle does not interrupt it (code), thus it must be pigtailed. Cannot just run the neutral in and out of one receptacle and off to the next.
Charles