Landau level of fragile topology

The flat bands in twisted bilayer graphene (TBG) are known to carry a new type of topology called fragile topology. Here, the authors show that the flat bands in TBG have their Hofstadter butterfly generically connected with the Hofstadter butterfly of the higher bands, which is a topological signature of the fragile topology. This leads to Landau level gaps extending over multiple bands and closing the zero magnetic field band gaps, which is detectable by transport experiments in magnetic fields.

• Publication year

  2018

• Venue

  Physical Review B

• Publication date

  2018-11-28

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PHYSREVB.102.041402arXiv 1811.11786
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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