Interferometry and non-equilibrium noise in the fractional quantum Hall effect

Abstract

We study theoretical aspects of fractional quantum Hall devices based on tunnelling point contacts. The fractional quantum Hall effect is the prime example of a (2 + 1) dimensional system with non-trivial topological order. Fractional quantum Hall systems exhibit quasiparticle excitations (anyons) which carry fractional charge and obey a generalized form of statistics. These anyons can be observed and studied in transport experiments using point contacts. In this work we use both perturbative and non-perturbative techniques to study the current through a double point contact interferometer and the properties of non-equilibrium noise in a single point contact.