Quantum holography in a graphene flake with an irregular boundary
Electrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied. These include integer and fractional quantum Hall states as well as symmetry broken phases and quantum Hall ferromagnetism. Here we show that mesos...
| Main Authors: | , , , , |
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| Format: | Journal article |
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American Physical Society
2018
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| _version_ | 1826305163519852544 |
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| author | Chen, A Ilan, R de Juan Sanz, F Pikulin, DI Franz, M |
| author_facet | Chen, A Ilan, R de Juan Sanz, F Pikulin, DI Franz, M |
| author_sort | Chen, A |
| collection | OXFORD |
| description | Electrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied. These include integer and fractional quantum Hall states as well as symmetry broken phases and quantum Hall ferromagnetism. Here we show that mesoscopic graphene flakes in the regime of strong disorder and magnetic field can exhibit another remarkable quantum phase described by holographic duality to an extremal black hole in two-dimensional anti–de Sitter space. This phase of matter can be characterized as a maximally chaotic non-Fermi liquid since it is described by a complex fermion version of the Sachdev-Ye-Kitaev model known to possess these remarkable properties. |
| first_indexed | 2024-03-07T06:28:43Z |
| format | Journal article |
| id | oxford-uuid:f536991b-2827-4101-90b0-68b59231558d |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:28:43Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:f536991b-2827-4101-90b0-68b59231558d2022-03-27T12:25:38ZQuantum holography in a graphene flake with an irregular boundaryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f536991b-2827-4101-90b0-68b59231558dSymplectic Elements at OxfordAmerican Physical Society2018Chen, AIlan, Rde Juan Sanz, FPikulin, DIFranz, MElectrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied. These include integer and fractional quantum Hall states as well as symmetry broken phases and quantum Hall ferromagnetism. Here we show that mesoscopic graphene flakes in the regime of strong disorder and magnetic field can exhibit another remarkable quantum phase described by holographic duality to an extremal black hole in two-dimensional anti–de Sitter space. This phase of matter can be characterized as a maximally chaotic non-Fermi liquid since it is described by a complex fermion version of the Sachdev-Ye-Kitaev model known to possess these remarkable properties. |
| spellingShingle | Chen, A Ilan, R de Juan Sanz, F Pikulin, DI Franz, M Quantum holography in a graphene flake with an irregular boundary |
| title | Quantum holography in a graphene flake with an irregular boundary |
| title_full | Quantum holography in a graphene flake with an irregular boundary |
| title_fullStr | Quantum holography in a graphene flake with an irregular boundary |
| title_full_unstemmed | Quantum holography in a graphene flake with an irregular boundary |
| title_short | Quantum holography in a graphene flake with an irregular boundary |
| title_sort | quantum holography in a graphene flake with an irregular boundary |
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