Quantum holography in a graphene flake with an irregular boundary

TL;DR

This paper demonstrates that disordered mesoscopic graphene flakes under strong magnetic fields can exhibit a quantum phase analogous to a holographic dual of an extremal black hole, characterized by maximal chaos and non-Fermi liquid behavior.

Contribution

It introduces a novel quantum phase in disordered graphene flakes modeled by holographic duality, linking condensed matter physics with black hole physics.

Findings

Identification of a holographic quantum phase in graphene

Characterization as a maximally chaotic non-Fermi liquid

Connection to Sachdev-Ye-Kitaev model properties

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.