Dipoles in graphene have infinitely many bound states
journal contribution
posted on 2019-11-07, 11:00 authored by Jean-Claude CueninJean-Claude Cuenin, Heinz Siedentop© 2014 AIP Publishing LLC. We show that in graphene, modelled by the two-dimensional Dirac operator, charge distributions with non-vanishing dipole moment have infinitely many bound states. The corresponding eigenvalues accumulate at the edges of the gap faster than any power.
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DFG grant no SFB-TR 12.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Mathematical PhysicsVolume
55Publisher
AIP Publishing LLC.Version
- AM (Accepted Manuscript)
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© AIP Publishing LLC.Publisher statement
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Cuenin, J-C. and Siedentop, H., 2014. Dipoles in graphene have infinitely many bound states. Journal of Mathematical Physics, 55: 122304 and may be found at https://doi.org/10.1063/1.4904310Acceptance date
2014-12-01Publication date
2014-12-19Copyright date
2014ISSN
0022-2488eISSN
1089-7658Publisher version
Language
- en
Depositor
Dr Jean-Claude Cuenin. Deposit date: 6 November 2019Article number
122304Usage metrics
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