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23 February 2024
 
  » arxiv » 2105.05625

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Adiabatic Construction of Hierarchical Quantum Hall States
Martin Greiter ; Frank Wilczek ;
Date 12 May 2021
AbstractWe propose an exact model of anyon ground states including higher Landau levels, and use it to obtain fractionally quantized Hall states at filling fractions $ u=p/(p(m-1)+1)$ with $m$ odd, from integer Hall states at $ u=p$ through adiabatic localization of magnetic flux. Since the energy gap remains intact during the process, the construction establishes the existence of incompressible states at these fillings. We identify parent Hamiltonians which single out quantized Hall states at these fillings as exact and unique ground states.
Source arXiv, 2105.05625
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