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Nandy, Dillip K., Haque, Masudul and Nielsen, Anne E.B. (2020) Few-particle dynamics of fractional quantum Hall lattice models Phys. Rev. B 101, 205305 – Published 15 May 2020. Physical Review B, 101 (205305). ISSN 1098-0121
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Abstract
Considering lattice Hamiltonians designed using conformal field theory to have fractional quantum Hall states as ground states, we study the dynamics of one or two particles on such lattices. Examining the eigenspectrum and dynamics of the single-particle sector, we demonstrate that these Hamiltonians cannot be regarded as describing interacting particles placed on a Chern band, so that the physics is fundamentally different from fractional Chern insulators. The single-particle spectrum is shown to consist of eigenstates localized in shells which have a larger radius for larger eigenenergies. This leads to chiral dynamics along reasonably well-defined orbits, in both the single-particle and the two-particle sectors.
| Item Type: | Article |
|---|---|
| Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society. Cite as: Few-particle dynamics of fractional quantum Hall lattice models Dillip K. Nandy, Masudul Haque, and Anne E. B. Nielsen Phys. Rev. B 101, 205305 – Published 15 May 2020. DOI: 10.1103/PhysRevB.101.205305 |
| Keywords: | Few-particle dynamics; fractional quantum Hall lattice models; |
| Academic Unit: | Faculty of Science and Engineering > Theoretical Physics |
| Item ID: | 14832 |
| Identification Number: | 10.1103/PhysRevB.101.205305 |
| Depositing User: | Masud Haque |
| Date Deposited: | 17 Sep 2021 15:27 |
| Journal or Publication Title: | Physical Review B |
| Publisher: | American Physical Society |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/14832 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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