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Dipoles in Graphene Have Infinitely Many Bound States

Authors :
Cuenin, Jean-Claude
Siedentop, Heinz
Source :
Journal of Mathematical Physics 55, 122304 (2014)
Publication Year :
2014

Abstract

We show that in graphene 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.

Subjects

Subjects :
Mathematical Physics
81V99, 35P99

Details

Database :
arXiv
Journal :
Journal of Mathematical Physics 55, 122304 (2014)
Publication Type :
Report
Accession number :
edsarx.1403.7160
Document Type :
Working Paper
Full Text :
https://doi.org/10.1063/1.4904310