I can't find the main articles on the fly. However you can search the web for "Interaural Time Difference" (or Level). As already reported, you can also find a lot in good psychoacoustic books. A very interesting one that I suggest is "Principle of Cognitive Neuroscience", by D. Purves and others.
[EDIT] About the test signal. As normally happens, to study the effects of any operation on the signal, tests are carried out with "canonical" signals. The step is one of them. Yes, it's not a realistic signal, but it shows well the time spreading effect of the transients, which is a physical fact. I think that on real signals surely such steep transients will occur to a lesser extent.
For discrete phases. It doesn't seem to me that anyone here has talked about discrete phases.