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Spectral characteri...
Spectral characterization of magic angles in twisted bilayer graphene
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- Becker, Simon (författare)
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
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- Embree, Mark (författare)
- Virginia Polytechnic Institute and State University,Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061, USA
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- Wittsten, Jens (författare)
- Högskolan i Borås,University of Borås,Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH,Akademin för textil, teknik och ekonomi
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- Zworski, Maciej (författare)
- Department of Mathematics, University of California, Berkeley, California 94720, USA
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(creator_code:org_t)
- 2021
- 2021
- Engelska.
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Ingår i: Physical Review B. - 2469-9950. ; 103:16
- Relaterad länk:
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http://dx.doi.org/10...
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https://link.aps.org...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- Twisted bilayer graphene (TBG) has been experimentally observed to exhibit almost flat bands when the twisting occurs at certain magic angles. In this Letter we show that in the approximation of vanishing AA coupling, the magic angles (at which there exist entirely flat bands) are given as the eigenvalues of a non-Hermitian operator, and that all bands start squeezing exponentially fast as the angle θ tends to 0. In particular, as the interaction potential changes, the dynamics of magic angles involves the nonphysical complex eigenvalues. Using our new spectral characterization, we show that the equidistant scaling of inverse magic angles is special for the choice of tunneling potentials in the continuum model, and is not protected by symmetries. While we also show that the protection of zero-energy states holds in the continuum model as long as particle-hole symmetry is preserved, we observe that the existence of flat bands and the exponential squeezing are special properties of the chiral model.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
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