Research paperTheoreticalDipole representation of composite fermions in graphene quantum Hall systemsSonja Predin2025·10.1103/PhysRevB.111.045132·arXiv:2408.10375AbstractThe paper extends the dipole representation of composite fermions to graphene quantum Hall systems, focusing on half-filled Landau levels. It derives an effective Hamiltonian that incorporates particle-hole symmetry and analyzes whether pairing instabilities can arise in the half-filled fourth Landau level (N = 3) of monolayer graphene. The results indicate that the regularized, non-paired state is energetically favored and that no well-defined pairing instability is present in this framework.Read more
Research paperTheoreticalDipole representation of composite fermions in graphene quantum Hall systemsSonja Predin2025·10.1103/PhysRevB.111.045132·arXiv:2408.10375AbstractThe paper extends the dipole representation of composite fermions to graphene quantum Hall systems, focusing on half-filled Landau levels. It derives an effective Hamiltonian that incorporates particle-hole symmetry and analyzes whether pairing instabilities can arise in the half-filled fourth Landau level (N = 3) of monolayer graphene. The results indicate that the regularized, non-paired state is energetically favored and that no well-defined pairing instability is present in this framework.Read more
Research paperTheoreticalDipole representation of composite fermions in graphene quantum Hall systemsSonja Predin2025·10.1103/PhysRevB.111.045132·arXiv:2408.10375AbstractThe paper extends the dipole representation of composite fermions to graphene quantum Hall systems, focusing on half-filled Landau levels. It derives an effective Hamiltonian that incorporates particle-hole symmetry and analyzes whether pairing instabilities can arise in the half-filled fourth Landau level (N = 3) of monolayer graphene. The results indicate that the regularized, non-paired state is energetically favored and that no well-defined pairing instability is present in this framework.Read more
Research paperTheoreticalDipole representation of composite fermions in graphene quantum Hall systemsSonja Predin2025·10.1103/PhysRevB.111.045132·arXiv:2408.10375AbstractThe paper extends the dipole representation of composite fermions to graphene quantum Hall systems, focusing on half-filled Landau levels. It derives an effective Hamiltonian that incorporates particle-hole symmetry and analyzes whether pairing instabilities can arise in the half-filled fourth Landau level (N = 3) of monolayer graphene. The results indicate that the regularized, non-paired state is energetically favored and that no well-defined pairing instability is present in this framework.Read more
