Is it possible to investigate fractional quantum Hall systems in iTensor?

I have in mind mostly the cyllindrical geometry. Then, in Landau gauge the system can be expressed as 1D fermionic chain, with every Landau gauge function being a spinless fermionic site which can be either occupied or empty. So this can be doable using the HubbardSite class. However, every such site can be labeled with a momentum quantum number which is different for every site. And this is something that iTensor site class cannot do. So the question is, is there some trick which can make this work? Is there any way to use the momentum conservation in iTensor in such a system?