The primary book for the reign of Nebuchadnezzar II is in French (Arnaud's Nabuchodonosor II, roi de Babylone). DJ Wiseman's Nebuchadrezzar and Babylon is useful, as is Ronald Sack's Images of Nebuchadnezzar: The Emergence of a Legend.

Vanderhooft's The Neo-Babylonian Empire and Babylon in the Latter Prophets and Cogan's The Raging Torrent: Historical Inscriptions from Assyria and Babylonia Relating to Ancient Israel are worth a look if you're interested in the interactions between the Neo-Babylonian empire and Judah.

The Babylonian chronicles are our main source of knowledge, which have been edited in Grayson's Assyrian and Babylonian Chronicles. The three volumes of The Context of Scripture and The Ancient Near East: Historical Sources in Translation edited by Mark Chavalas also contain useful translations. There is an ORACC project editing Neo-Babylonian texts, but unfortunately they haven't gotten around to the reign of Nebuchadnezzar II yet.