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Magic of high-order van Hove singularity

Author

Listed:
  • Noah F. Q. Yuan

    (Massachusetts Institute of Technology)

  • Hiroki Isobe

    (Massachusetts Institute of Technology)

  • Liang Fu

    (Massachusetts Institute of Technology)

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.

Suggested Citation

  • Noah F. Q. Yuan & Hiroki Isobe & Liang Fu, 2019. "Magic of high-order van Hove singularity," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-13670-9
    DOI: 10.1038/s41467-019-13670-9
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    Cited by:

    1. Anirudh Chandrasekaran & Luke C. Rhodes & Edgar Abarca Morales & Carolina A. Marques & Phil D. C. King & Peter Wahl & Joseph J. Betouras, 2024. "On the engineering of higher-order Van Hove singularities in two dimensions," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    2. Yong Hu & Xianxin Wu & Brenden R. Ortiz & Sailong Ju & Xinloong Han & Junzhang Ma & Nicholas C. Plumb & Milan Radovic & Ronny Thomale & Stephen D. Wilson & Andreas P. Schnyder & Ming Shi, 2022. "Rich nature of Van Hove singularities in Kagome superconductor CsV3Sb5," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    3. Pyeongjae Park & E. A. Ghioldi & Andrew F. May & James A. Kolopus & Andrey A. Podlesnyak & Stuart Calder & Joseph A. M. Paddison & A. E. Trumper & L. O. Manuel & Cristian D. Batista & Matthew B. Stone, 2024. "Anomalous continuum scattering and higher-order van Hove singularity in the strongly anisotropic S = 1/2 triangular lattice antiferromagnet," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Bhaskar Ghawri & Phanibhusan S. Mahapatra & Manjari Garg & Shinjan Mandal & Saisab Bhowmik & Aditya Jayaraman & Radhika Soni & Kenji Watanabe & Takashi Taniguchi & H. R. Krishnamurthy & Manish Jain & , 2022. "Breakdown of semiclassical description of thermoelectricity in near-magic angle twisted bilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

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