High order Van Hove singularities and flat bands
ORAL
Abstract
Beyond the two-dimensional (2D) saddle-point Van Hove singularities (VHSs) with logarithmic divergences in the density of states (DOS), recent studies have identified high-order VHSs with faster-than-logarithmic divergences that can amplify electron correlation effects [1-3]. Here we demonstrate a close relationship between the high-order VHSs and flat bands and show that this provides an estimate of the electronic dimensionality of the flat bands. We find that 3D materials can host high-order VHSs with similar power-law divergences to those near the cuprates [3].
[1] F. Noah, Q. Yuan, Hiroki Isobe, and Liang Fu, Nat. Commun. 10, 5769 (2019).
[2] R.S. Markiewicz, I.G. Buda, P. Mistark, C. Lane, and A. Bansil, Scientific Reports 7, 44008 (2017).
[3] R.S. Markiewicz, B. Singh, C. Lane, and A. Bansil, arXiv:2105.04546.
[1] F. Noah, Q. Yuan, Hiroki Isobe, and Liang Fu, Nat. Commun. 10, 5769 (2019).
[2] R.S. Markiewicz, I.G. Buda, P. Mistark, C. Lane, and A. Bansil, Scientific Reports 7, 44008 (2017).
[3] R.S. Markiewicz, B. Singh, C. Lane, and A. Bansil, arXiv:2105.04546.
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Publication: Based on this and last year's abstract, we are planning on 3 publications, of which only one is available:<br>arXiv:2105.04546
Presenters
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Robert S Markiewicz
Northeastern University
Authors
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Robert S Markiewicz
Northeastern University
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Baadur Singh
TIFR, Mumbai, India
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Christopher Lane
LANL
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Arun Bansil
Northeastern University, Department of Physics, Northeastern University, USA