Broken symmetry, hyper-fermions and universal conductance in transport through a fractional quantum Hall edge

Realizing universal edge properties in graphene fractional quantum Hall liquids.

Universal chiral Luttinger liquid behavior has been predicted for fractional quantum Hall edge states, but so far has not been observed experimentally in semiconductor-based two-dimensional electron gases. One likely cause of this absence of universality is the generic occurrence of edge reconstruction in such systems, which is the result of a competition between confinement potential and Coulo...

Composite Fermions in Fractional Quantum Hall Systems

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting twodimensional electron fluid in a large magnetic field. The simple way in which the mean field CF picture describes the low lying bands of angular momentum multiplets for any value of the applied magnetic field is illustrated and compared with the result...

Composite-fermion edge states and transport through nanostructures in the fractional quantum Hall regime.

Broken SU(4) symmetry and the fractional quantum Hall effect in graphene.

We describe a variational theory for incompressible ground states and charge gaps in the N=0 Landau level of graphene that accounts for the fourfold Landau level degeneracy and the short-range interactions that break SU(4) spin-valley invariance. Our approach explains the experimental finding that gaps at odd numerators are weak for 1<|ν|<2 and strong for 0<|ν|<1. We find that in the SU(4) inva...

Non-Universal Fractional Quantum Hall States in a Quantum Wire

The ground state as well as low-lying excitations in a 2D electron system in strong magnetic fields and a parabolic potential is investigated by the variational Monte Calro method. Trial wave functions analogous to the Laughlin state are used with the power-law exponent as the variational parameter. Finite size scaling of the excitation energy shows that the correlation function at long distanc...