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Unravelling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene
Mesoscale and Nanoscale Physics · Submitted 5 Sep 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results are conclusive: vHs due to interlayer coupling are ubiquitously present in a broad range (from 1{\deg} to 10{\deg}) of rotation angles in our graphene on 6H-SiC(000-1) samples.
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The abstract, sentence by sentence
Extensive scanning tunnelling microscopy and spectroscopy experiments complemented by first principles and parameterized tight binding calculations provide a clear answer to the existence, origin and robustness of van Hove singularities (vHs) in twisted graphene layers. Our results are conclusive: vHs due to interlayer coupling are ubiquitously present in a broad range (from 1{\deg} to 10{\deg}) of rotation angles in our graphene on 6H-SiC(000-1) samples. From the variation of the energy separation of the vHs with rotation angle we are able to recover the Fermi velocity of a graphene monolayer as well as the strength of the interlayer interaction. The robustness of the vHs is assessed both by experiments, which show that they survive in the presence of a third graphene layer, and calculations, which test the role of the periodic modulation and absolute value of the interlayer distance. Finally, we clarify the origin of the related moir\'e corrugation detected in the STM images.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Extensive scanning tunnelling microscopy and spectroscopy experiments complemented by first principles and parameterized tight binding calculations provide a clear answer to the existence, origin and robustness of van Hove singularities (vHs) in twisted graphene layers. | method 0.54 | 0.87 | 0.14 | asserted 1.00 |
| s1 | Our results are conclusive: vHs due to interlayer coupling are ubiquitously present in a broad range (from 1{\deg} to 10{\deg}) of rotation angles in our graphene on 6H-SiC(000-1) samples. | result 1.00 | 0.96 | 0.67 | asserted 1.00 |
| s2 | From the variation of the energy separation of the vHs with rotation angle we are able to recover the Fermi velocity of a graphene monolayer as well as the strength of the interlayer interaction. | result 0.96 | 0.96 | 0.10 | asserted 1.00 |
| s3 | The robustness of the vHs is assessed both by experiments, which show that they survive in the presence of a third graphene layer, and calculations, which test the role of the periodic modulation and absolute value of the interlayer distance. | result 0.70 | 0.94 | 0.11 | asserted 1.00 |
| s4 | Finally, we clarify the origin of the related moir\'e corrugation detected in the STM images. | result 0.57 | 0.87 | 0.06 | asserted 0.98 |
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Original abstract
Extensive scanning tunnelling microscopy and spectroscopy experiments complemented by first principles and parameterized tight binding calculations provide a clear answer to the existence, origin and robustness of van Hove singularities (vHs) in twisted graphene layers. Our results are conclusive: vHs due to interlayer coupling are ubiquitously present in a broad range (from 1{\deg} to 10{\deg}) of rotation angles in our graphene on 6H-SiC(000-1) samples. From the variation of the energy separation of the vHs with rotation angle we are able to recover the Fermi velocity of a graphene monolayer as well as the strength of the interlayer interaction. The robustness of the vHs is assessed both by experiments, which show that they survive in the presence of a third graphene layer, and calculations, which test the role of the periodic modulation and absolute value of the interlayer distance. Finally, we clarify the origin of the related moir\'e corrugation detected in the STM images.
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Such a behavior indicates that the continuum models, which capture moir\'e-pattern periodicity more accurately at small rotation angles, are no longer applicable at large rotation angles.
Angle-Dependent van Hove Singularities and Their Breakdown in Twisted Graphene Bilayers · 0.97
Papers citing it
Cites it as background 1 paper
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Recently there has been a surge of theoretical [ref] and experimental [ref] activities in twisted BLG (mostly focusing on single-particle physics thus far), while BLG with in-plane field has attracted little attention thus far [ref] .
Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system · Introduction · 0.96
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