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Dipoles in graphene have infinitely many bound states

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journal contribution
posted on 07.11.2019, 11:00 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.

Funding

DFG grant no SFB-TR 12.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Mathematical Physics

Volume

55

Publisher

AIP Publishing LLC.

Version

AM (Accepted Manuscript)

Rights holder

© 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/10.1063/1.4904310

Acceptance date

01/12/2014

Publication date

2014-12-19

Copyright date

2014

ISSN

0022-2488

eISSN

1089-7658

Language

en

Depositor

Dr Jean-Claude Cuenin. Deposit date: 6 November 2019

Article number

122304