Justice and Her Brothers Series by Virginia Hamilton

An eleven-year-old and her older twin brothers struggle to understand their supersensory powers.

Thomas, Dorian, Justice, and Levi, bound together by their extrasensory powers, journey to a future land where three-legged, humanlike creatures desperately seek water and a way out of their barren world. When jealousy tears the young people apart, survival -- and finding a way back to the present -- becomes the ultimate challenge.

Justice and her brothers, the first of a new race with extraordinary powers, return to Dustland in order to destroy the force that retards the growth of their advanced civilization.