Accumulation rate of bound states of dipoles generated by point charges in strained graphene

Dorsch, Florian (2017): Accumulation rate of bound states of dipoles generated by point charges in strained graphene. In: Journal of Mathematical Physics, Vol. 58, No. 2, 22102

Abstract

We consider strained graphene, modelled by the two-dimensional massive Dirac operator, with potentials corresponding to charge distributions with vanishing total charge, non-vanishing dipole moment and finitely many point charges of subcritical coupling constants located in the graphene sheet. We show that the bound state energies accumulate exponentially fast at the edges of the spectral gap by determining the leading order of the accumulation rate. Published by AIP Publishing.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-2488
• Language: English