Several times OOC I have discussed with various other playas background reading for both character and dome development. These discussion typically center around the cyberpunk genre, and I fely it was time to pass some of this knowledge on to those who are less familiar with it.
With that in mind, there are two authors I strongly recommend reading.
Neal Stephenson: Author of "Snowcrash" one of the best know, and best written works in the cyberpunk genre, this book helps give background ideas as to the realism of everyday life in the dome, even though it is not set in a post-apocalyptic wasteland.
Stephenson is also know for having written "Zodiac", "Diamond Age", "Cryptonomicon", "The Big U", (I keep thinking he wrote one more, and I've read it, but I sure con't remember what it is right now). All of these are interesting reads, although he admits that "The Big U" isn't very good (its not, but its interesting to read anyway). "Zodiac"was surprisingly entertaining for being an eco-thriller. "Diamond Age" is a slow read, but its worth it, and it has a lot of potential in terms of rp ideas and development inside the dome.
William Gibson, probably the most famous name in cyberpunk, is known for "Neuromancer", "Johnny Mnemonic[sic]", "Virtual Light", "Count Zero" and several others. All of his works that I have read (almost eveything he has written) are worth while.
Additionally, "Do Androids Dream of Electric Sheep", the book that the movie Blade Runner was based on is a fascinating look at a portion of dome culture we've yet to truly deal with; and that is the genetic freaks and androids/cyborgs that may exist right now in the dome.
I have much more to discuss but little time to right, adieu.