Testing the topological nature of the fractional quantum Hall edge.
We carry out numerical diagonalization for much larger systems than before by restricting the fractional quantum Hall (FQH) edge excitations to a basis that is exact for a short-range interaction and very accurate for the Coulomb interaction. This enables us to perform substantial tests of the predicted universality of the edge physics. Our results suggest the possibility that the behavior of the FQH edge is intrinsically nonuniversal, even in the absence of edge reconstruction, and therefore may not bear a sharp and unique relation to the nature of the bulk FQH state.
Jolad
Shivakumar
S
Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Jain
Jainendra K
JK