Main Question or Discussion Point
Can someone explain to me as simply as possible why the Laughlin states create energy gaps in the lowest landau level? I am trying to understand for a presentation why the Laughlin states correctly model the QHE effect when the filling factor is a odd fraction (1/3, 1/5, 1/7). As far as I understand it in order for there to be a quantized hall effect at v=1/3 the laughlin state must split the energy spectrum of the system such that there are discrete energy levels just like in the integer effect. I don't understand how this works. I know it is somehow connected with the fact the states are an incompressible liquid but I can't figure that part out either.