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Adiabatic Construction of Hierarchical Quantum Hall States | | Martin Greiter
; Frank Wilczek
; | | Date: |
12 May 2021 | | 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 $
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 | | Services: | Forum | Review | PDF | Favorites | |
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