Charge fractionalization on quantum Hall edges

Interactions between edges of quantum Hall bars give rise to Luttinger Liquid behavior with a nontrivial interaction parameter g. This leads to fractionalization of localized charges that propagate along the edges. We focus on fractionalization in systems with variable g and the separation of a charge into a sharply defined front pulse and a broader tail. The possibility of detecting the front pulse through noise measurement is discussed and illustrated by numerical simulations of a simplified Hall bar model.