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.
%0 Journal Article
%1 PhysRevB.104.L121111
%A Greiter, Martin
%A Wilczek, Frank
%D 2021
%I American Physical Society
%J Phys. Rev. B
%K a
%N 12
%P L121111
%R 10.1103/PhysRevB.104.L121111
%T Adiabatic construction of hierarchical quantum Hall states
%U https://link.aps.org/doi/10.1103/PhysRevB.104.L121111
%V 104
%X 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.
@article{PhysRevB.104.L121111,
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 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.},
added-at = {2023-11-16T18:48:47.000+0100},
author = {Greiter, Martin and Wilczek, Frank},
biburl = {https://www.bibsonomy.org/bibtex/28605480177212139beb64b15d8b19fda/ctqmat},
day = 20,
doi = {10.1103/PhysRevB.104.L121111},
interhash = {a8a7ee67a7694af59ab5a84334b2cdd8},
intrahash = {8605480177212139beb64b15d8b19fda},
journal = {Phys. Rev. B},
keywords = {a},
month = {09},
number = 12,
numpages = {5},
pages = {L121111},
publisher = {American Physical Society},
timestamp = {2023-11-16T18:48:47.000+0100},
title = {Adiabatic construction of hierarchical quantum Hall states},
url = {https://link.aps.org/doi/10.1103/PhysRevB.104.L121111},
volume = 104,
year = 2021
}