I had a convo today with Quantum Instruments about using one of their Turbo batteries to power a D4.
Might be a workaround for the reduced capacity of the new D4 battery (introduced I understand because of new regulations in Japan) compared to the D3/D3s, which some of us have got used to and may still need in some circumstances.
However Quantum are still waiting to get their hands on a D4 so cannot recommend anything yet.
I see that the D4 does not have an external DC-in plug which the D3s/D3/D3x have.
Nikon's own external supply for the D4 consists of a new EP-6 power connector which fits into the battery chamber, and EH-6b AC adapter which plugs into EP-6 one end and the wall supply the other. Hopefully Quantum can work with the EP-6...