On triggering role of carrier mobility for Laughlin state organization
J. Jacak, L. Jacak
Institute of Physics, Wroc University of Technology, 50-370 Wroc, Poland
Abstract
Recent experiments with suspended graphene have corroborated an important
role of carrier mobility in the competition between Laughlin state and insulating state,
presumably of Wigner-type electron crystal. Moreover, the fractional quantum Hall effect
(FQHE) in graphene has been observed at low carrier densities when the interaction was
reduced due to carrier dilution. This suggests that not solely interaction and the flat band
with quenched kinetic energy may be important for formation of FQHE. Here, some
exclusive for 2D topological arguments are supposed to explain the triggering role of
carrier mobility in formation of the collective FQHE state, when conditions of sufficient
flattening of a band and interaction presence are fulfilled.