Landau Models and the Quantum Hall Effect

Abstract

The work of von Klitzing, Dorda and Pepper (1980) showed that the Hall conductivity is quantized at very low temperatures at integer multiples of e 2/h, where e is the electron charge and h is Planck’s constant. Later work by Laughlin (1981) and Thouless, Kohmoto et al. (1982) began to explore the geometric origins of the quantum Hall effect and the work of Prange (1981), Joynt and Prange (1984) and Thouless (1981) related the plateaux of the Hall conductance which appear when the magnetic field or charge carrier density is changed to Anderson localization.