Fermi liquids and fractional statistics in one dimension

Jon Magne Leinaas, FI

I will discuss how one-dimensional interacting fermion systems, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional charge and statistics. The approach is to use Landau's phenomenological approach to Fermi liquid theory, with quasiparticles interpreted as adiabatically dressed fermions. In an earlier publication the local charge carried by these excitations has been shown to be a fraction of the fermion charge. I will here focus on the statistics of the quasiparticles and show that by a change of momentum variables the Landau parameters of the generalized Fermi fluid can be transformed to zero. This change in interaction is compensated by a change of the Pauli exclusion, which is consistent with the interpretation of the quasiparticles as satisfying generalized exclusion statistics.

(The slides will be available here)