Recovering hidden Bloch character: Unfolding electrons, phonons, and slabs

P.B.A. was supported in part by US DOE Grant No. DE-FG02-08ER46550. D.A.C. thanks NSF for a summer REU scholarship administered by Stony Brook University (NSF Grant No. PHYS-0851594). J.M.S. was supported by Grants No. FIS2009-12721 and No. FIS2012-37549