Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
| Publication Date: |
2018-03-30
|
|---|---|
| Publisher: |
Institute of Physics (IOP)
|
| Electronic ISSN: |
1367-2630
|
| Topics: |
Physics
|
| Published by: |
| _version_ | 1836398871781048320 |
|---|---|
| autor | Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez |
| beschreibung | From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than that of quasiholes. The problem is that one obtains a singularity in the wavefunction if one tries to naively construct the quasielectron as the inverse of the quasihole. Here, we demonstrate that the same problem does not arise in lattice fractional quantum Hall models. This result allows us to make detailed investigations of the properties of quasielectrons, including their braiding statistics and density distribution on lattices on the plane and on the torus. We show that some of the states considered have high overlap with certain fractional Chern insulator states. We also derive few-body Hamiltonians, for which various states containing quasielectrons are exact ground states. |
| citation_standardnr | 6222004 |
| datenlieferant | ipn_articles |
| feed_id | 3941 |
| feed_publisher | Institute of Physics (IOP) |
| feed_publisher_url | http://www.iop.org/ |
| insertion_date | 2018-03-30 |
| journaleissn | 1367-2630 |
| publikationsjahr_anzeige | 2018 |
| publikationsjahr_facette | 2018 |
| publikationsjahr_intervall | 7984:2015-2019 |
| publikationsjahr_sort | 2018 |
| publisher | Institute of Physics (IOP) |
| quelle | New Journal of Physics |
| relation | http://iopscience.iop.org/1367-2630/20/3/033029 |
| search_space | articles |
| shingle_author_1 | Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez |
| shingle_author_2 | Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez |
| shingle_author_3 | Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez |
| shingle_author_4 | Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez |
| shingle_catch_all_1 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than that of quasiholes. The problem is that one obtains a singularity in the wavefunction if one tries to naively construct the quasielectron as the inverse of the quasihole. Here, we demonstrate that the same problem does not arise in lattice fractional quantum Hall models. This result allows us to make detailed investigations of the properties of quasielectrons, including their braiding statistics and density distribution on lattices on the plane and on the torus. We show that some of the states considered have high overlap with certain fractional Chern insulator states. We also derive few-body Hamiltonians, for which various states containing quasielectrons are exact ground states. Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez Institute of Physics (IOP) 1367-2630 13672630 |
| shingle_catch_all_2 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than that of quasiholes. The problem is that one obtains a singularity in the wavefunction if one tries to naively construct the quasielectron as the inverse of the quasihole. Here, we demonstrate that the same problem does not arise in lattice fractional quantum Hall models. This result allows us to make detailed investigations of the properties of quasielectrons, including their braiding statistics and density distribution on lattices on the plane and on the torus. We show that some of the states considered have high overlap with certain fractional Chern insulator states. We also derive few-body Hamiltonians, for which various states containing quasielectrons are exact ground states. Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez Institute of Physics (IOP) 1367-2630 13672630 |
| shingle_catch_all_3 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than that of quasiholes. The problem is that one obtains a singularity in the wavefunction if one tries to naively construct the quasielectron as the inverse of the quasihole. Here, we demonstrate that the same problem does not arise in lattice fractional quantum Hall models. This result allows us to make detailed investigations of the properties of quasielectrons, including their braiding statistics and density distribution on lattices on the plane and on the torus. We show that some of the states considered have high overlap with certain fractional Chern insulator states. We also derive few-body Hamiltonians, for which various states containing quasielectrons are exact ground states. Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez Institute of Physics (IOP) 1367-2630 13672630 |
| shingle_catch_all_4 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models From an experimental point of view, quasielectrons and quasiholes play very similar roles in the fractional quantum Hall effect. Nevertheless, the theoretical description of quasielectrons is known to be much harder than that of quasiholes. The problem is that one obtains a singularity in the wavefunction if one tries to naively construct the quasielectron as the inverse of the quasihole. Here, we demonstrate that the same problem does not arise in lattice fractional quantum Hall models. This result allows us to make detailed investigations of the properties of quasielectrons, including their braiding statistics and density distribution on lattices on the plane and on the torus. We show that some of the states considered have high overlap with certain fractional Chern insulator states. We also derive few-body Hamiltonians, for which various states containing quasielectrons are exact ground states. Anne E B Nielsen, Ivan Glasser and Iván D Rodríguez Institute of Physics (IOP) 1367-2630 13672630 |
| shingle_title_1 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models |
| shingle_title_2 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models |
| shingle_title_3 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models |
| shingle_title_4 | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models |
| timestamp | 2025-06-30T23:33:58.683Z |
| titel | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models |
| titel_suche | Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models |
| topic | U |
| uid | ipn_articles_6222004 |