Quantum transport in antidot lattices

A review is given of quantum transport phenomena in antidot lattices mainly from a theoretical point of view. The topics include theoretical study performed for the purpose of understanding the origin of the commensurability peaks and its relation to the chaotic electron motion, the Aharonov-Bohm type oscillation and its relation to semiclassical quantization of periodic orbits, the Altshuler-Aronov-Spivak oscillation and roles of disorder in antidot potential itself, and an S matrix formalism in which antidot lattices are replaced by an array of quantum-wire junctions.