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Classification of critical points in energy bands based on topology, scaling, and symmetry

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dc.contributor Massachusetts Institute of Technology. Department of Physics
dc.creator Yuan, Noah F. Q.
dc.creator Fu, Liang
dc.date 2020-06-15T20:40:31Z
dc.date 2020-06-15T20:40:31Z
dc.date 2020-03
dc.date 2019-10
dc.date 2020-03-23T14:18:00Z
dc.date.accessioned 2023-03-01T08:01:53Z
dc.date.available 2023-03-01T08:01:53Z
dc.identifier 2469-9950
dc.identifier 2469-9969
dc.identifier https://hdl.handle.net/1721.1/125812
dc.identifier Yuan, Noah F. Q, and Liang Fu. "Classification of critical points in energy bands based on topology, scaling, and symmetry." Physical Review B, 101, 12 (March 2020): 125120. © 2020 American Physical Society
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/275908
dc.description A critical point of the energy dispersion is the momentum where electron velocity vanishes. At the corresponding energy, the density of states (DOS) exhibits nonanalyticity such as divergence. Critical points can be first classified as ordinary and high-order ones, and the ordinary critical points have been studied thoroughly by Léon van Hove, whose DOS is particle-hole symmetric and logarithmically divergent. In this work, we describe and classify high-order critical points based on topology, scaling, and symmetry. We show that high-order critical points can have power-law-divergent DOS with particle-hole asymmetry, and can be realized at generic or symmetric momenta by tuning a few parameters such as twist angle, strain, pressure, and/or external fields.
dc.description DOE Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award No. de-sc0010526
dc.format application/pdf
dc.language en
dc.publisher American Physical Society (APS)
dc.relation http://dx.doi.org/10.1103/PhysRevB.101.125120
dc.relation Physical Review B
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.rights American Physical Society
dc.source American Physical Society
dc.title Classification of critical points in energy bands based on topology, scaling, and symmetry
dc.type Article
dc.type http://purl.org/eprint/type/JournalArticle


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