Phantom power is external to the microphones, provided by a source outside the microphones themselves. Usually, the preamp provides phantom power. But there are also devices that provide just phantom power and do not act as a preamp (Denecke PS-2, for example). Phantom power is usually 48v and follows a specific standard for how the power is routed through XLR connectors.
To further complicate things, there are also battery boxes - like those used with the Sound Professionals, Audio Technica, or other types of mini-microphones - which are external to the microphone and provide power to the mics, but do not provide *phantom* power. For our type of recording, the recorders do not provide power to the microphones.
So, there are a bunch of potential setups depending on the microphones and other gear you have:
Mics (with internal power) > recorder
Mics > battery box (external power, but not *phantom* power) > recorder
Mics > phantom power box > recorder
Mics > preamp (with phantom power) > recorder
Mics > preamp / ADC (with phantom power) > recorder