Holographic duality between (2+1) -dimensional quantum anomalous Hall state and (3+1) -dimensional topological insulators

Yingfei Gu, Ching Hua Lee, Xueda Wen, Gil Young Cho, Shinsei Ryu, Xiao Liang Qi

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


In this paper, we study (2+1)-dimensional quantum anomalous Hall states, i.e., band insulators with quantized Hall conductance, using exact holographic mapping. Exact holographic mapping is an approach to holographic duality which maps the quantum anomalous Hall state to a different state living in (3+1)-dimensional hyperbolic space. By studying topological response properties and the entanglement spectrum, we demonstrate that the holographic dual theory of a quantum anomalous Hall state is a (3+1)-dimensional topological insulator. The dual description enables a characterization of topological properties of a system by the quantum entanglement between degrees of freedom at different length scales.

Original languageEnglish (US)
Article number125107
JournalPhysical Review B
Issue number12
StatePublished - Sep 6 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Holographic duality between (2+1) -dimensional quantum anomalous Hall state and (3+1) -dimensional topological insulators'. Together they form a unique fingerprint.

Cite this