Adiabatic Construction of Hierarchical Quantum Hall States

Kavli Affiliate: Frank Wilczek

| First 5 Authors: Martin Greiter, Frank Wilczek, , ,

| Summary:

We propose an exact model of anyon ground states including higher Landau
levels, and use it to obtain fractionally quantized Hall states at filling
fractions $nu=p/(p(m-1)+1)$ with $m$ odd, from integer Hall states at $nu=p$
through adiabatic localization of magnetic flux. For appropriately chosen
two-body potential interactions, the energy gap remains intact during the
process. The construction hence establishes the existence of incompressible
states at these fillings.

| Search Query: ArXiv Query: search_query=au:”Frank Wilczek”&id_list=&start=0&max_results=10

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