Classification of critical points in energy bands based on topology, scaling, and symmetry
Name
PhysRevB.101.125120.pdf
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3.25 MB
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Adobe PDF
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b293f11682591dace4877ca8f210e701
Author(s)
Yuan, Noah F. Q.
Fu, Liang
Date Issued
March 2020
Journal
Physical Review B
Publisher
American Physical Society (APS)
Citation
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
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.101.125120
