Adiabatic construction of hierarchical quantum Hall states

Martin Greiter, Frank Wilczek

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 ν=p/(p(m-1)+1) with m odd, from integer Hall states at ν=p through adiabatic localization of magnetic flux. For appropriately chosen two-body potential interactions, the energy gap remains intact during the process, as we explicitly show for the p=2 series of states. The construction hence provides a major step towards establishing the existence of incompressible states at these fillings.

Original languageEnglish (US)
Article numberL121111
JournalPhysical Review B
Issue number12
StatePublished - Sep 15 2021

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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