18 citations · 46 across the 4 of their papers we have counts for
4 papers
Effective Edge State Dynamics in the Fractional Quantum Hall Effect
Richard Fern, Roberto Bondesan, Steven H. Simon
We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum…
On the Structure of Edge State Inner Products in the Fractional Quantum Hall Effect
Richard Fern, Roberto Bondesan, Steven H. Simon
We analyse the inner products of edge state wavefunctions in the fractional quantum Hall effect, specifically for the Laughlin and Moore-Read states. We use an effective descriptio…
How SU(2) Anyons are Z Parafermions
Richard Fern, Johannes Kombe, Steven H. Simon
We consider the braid group representation which describes the non-abelian braiding statistics of the spin 1/2 particle world lines of an SU(2) Chern-Simons theory. Up to an ab…
Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid
Richard Fern, Steven H. Simon
We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short ranged inter-particle interactions. We find that the eigenstat…