• 文献标题:   Quantum Holography in a Graphene Flake with an Irregular Boundary
  • 文献类型:   Article
  • 作  者:   CHEN A, ILAN R, DE JUAN F, PIKULIN DI, FRANZ M
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW LETTERS
  • ISSN:   0031-9007 EI 1079-7114
  • 通讯作者地址:   Univ British Columbia
  • 被引频次:   16
  • DOI:   10.1103/PhysRevLett.121.036403
  • 出版年:   2018

▎ 摘  要

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.