From Luttinger liquid to Altshuler-Aronov anomaly in multi-channel   quantum wires
  A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the tunneling density of states and the interaction correction to the conductivity, covering the full crossover. 
Christophe Mora, Reinhold Egger, and Alexander Altland