QUANTUM HALL TRANSITION IN AN ARRAY OF QUANTUM DOTS

A two-dimensional array of quantum dots in a magnetic field is conside red. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that the re is half a flux quantum per plaquette. This model exhibits the integ er quantum Hall effect. For N electronic states per quantum dot the li mit N --> infinity can be solved by a saddle-point integration of a su persymmetric field theory. The effect of level statistics on the densi ty of states and the Hall conductivity is compared with the effect of temperature fluctuations.