Interlayer phase coherence and composite fermions
The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if not all FQHE states. In bilayer systems there is a regime at i...
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Académie des sciences
2025-01-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.232/ |
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| author | Jolicoeur, Thierry |
| author_facet | Jolicoeur, Thierry |
| author_sort | Jolicoeur, Thierry |
| collection | DOAJ |
| description | The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if not all FQHE states. In bilayer systems there is a regime at integer filling of the lowest Landau level that displays a spontaneous breakdown of the U(1) relative phase between the two layers. This can be seen as interlayer phase coherence (ILC) in terms of electrons. Recent experiments in double layer samples of graphene have revealed the appearance of many FQHE states unique to the bilayer case. We discuss extensions of the CF idea in this situation as well as the possible existence of ILC of CFs. |
| format | Article |
| id | doaj-art-d0ea87ce2aaf42fbaa83c0d3002c08b1 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj-art-d0ea87ce2aaf42fbaa83c0d3002c08b12025-02-07T13:54:44ZengAcadémie des sciencesComptes Rendus. Physique1878-15352025-01-0126G111312410.5802/crphys.23210.5802/crphys.232Interlayer phase coherence and composite fermionsJolicoeur, Thierry0https://orcid.org/0000-0003-2510-0473Paris-Saclay University, CNRS, CEA, IPhT, FranceThe fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if not all FQHE states. In bilayer systems there is a regime at integer filling of the lowest Landau level that displays a spontaneous breakdown of the U(1) relative phase between the two layers. This can be seen as interlayer phase coherence (ILC) in terms of electrons. Recent experiments in double layer samples of graphene have revealed the appearance of many FQHE states unique to the bilayer case. We discuss extensions of the CF idea in this situation as well as the possible existence of ILC of CFs.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.232/Quantum Hall effectComposite fermionsInterlayer phase coherenceBilayer graphene |
| spellingShingle | Jolicoeur, Thierry Interlayer phase coherence and composite fermions Comptes Rendus. Physique Quantum Hall effect Composite fermions Interlayer phase coherence Bilayer graphene |
| title | Interlayer phase coherence and composite fermions |
| title_full | Interlayer phase coherence and composite fermions |
| title_fullStr | Interlayer phase coherence and composite fermions |
| title_full_unstemmed | Interlayer phase coherence and composite fermions |
| title_short | Interlayer phase coherence and composite fermions |
| title_sort | interlayer phase coherence and composite fermions |
| topic | Quantum Hall effect Composite fermions Interlayer phase coherence Bilayer graphene |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.232/ |
| work_keys_str_mv | AT jolicoeurthierry interlayerphasecoherenceandcompositefermions |