Adiabatic Construction of Hierarchical Quantum Hall States

Martin Greiter; Frank Wilczek

doi:10.1103/physrevb.104.l121111

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arXiv · 2105.05625

Adiabatic Construction of Hierarchical Quantum Hall States

Martin Greiter·Frank Wilczek

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Abstract

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.

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Martin Greiter, Frank Wilczek. 2021-05-12. Adiabatic Construction of Hierarchical Quantum Hall States. https://doi.org/10.1103/physrevb.104.l121111

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