%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 }