Fractional quantum Hall effect in infinite-layer systems

Stacked two dimensional electron systems in transverse magnetic fields exhi bit three dimensional fractional quantum Hallphases. We analyze the simples t such phases and find novel hulk properties, e,g., irrational braiding. Th ese phases host "one and a half" dimensional surface phases in which motion in one direction is chiral. We offer a general analysis of conduction in t he latter by combining sum rule and renormalization group arguments, and fi nd that when interlayer tunneling is marginal or irrelevant they are chiral semimetals that conduct only at T > 0 or with disorder.