Quantum Holography in a Graphene Flake with an Irregular Boundary

Anffany Chen, R. Ilan, F. De Juan, D. I. Pikulin, M. Franz

Research output: Contribution to journalArticlepeer-review

90 Scopus citations

Abstract

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.

Original languageEnglish
Article number036403
JournalPhysical Review Letters
Volume121
Issue number3
DOIs
StatePublished - 18 Jul 2018

Funding

FundersFunder number
European Union’s Horizon 2020 research and innovation program
Canadian Institute for Advanced Research
Horizon 2020 Framework Programme705968
Natural Sciences and Engineering Research Council of Canada

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