Magic of high-order van Hove singularity

Noah F. Q. Yuan, Hiroki Isobe and Liang Fu ()
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Noah F. Q. Yuan: Massachusetts Institute of Technology
Hiroki Isobe: Massachusetts Institute of Technology
Liang Fu: Massachusetts Institute of Technology

Nature Communications, 2019, vol. 10, issue 1, 1-7

Abstract: Abstract The van Hove singularity in density of states generally exists in periodic systems due to the presence of saddle points of energy dispersion in momentum space. We introduce a new type of van Hove singularity in two dimensions, resulting from high-order saddle points and exhibiting power-law divergent density of states. We show that high-order van Hove singularity can be generally achieved by tuning the band structure with a single parameter in moiré superlattices, such as twisted bilayer graphene by tuning twist angle or applying pressure, and trilayer graphene by applying vertical electric field. Correlation effects from high-order van Hove singularity near Fermi level are also discussed.

Date: 2019
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DOI: 10.1038/s41467-019-13670-9

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