Accumulation Rate of Bound States of Dipoles Generated by Point Charges in Strained Graphene

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.

References in corpus (6)

• Gauge fields in graphene
• Electric dipole induced universality for Dirac fermions in graphene
• On negative eigenvalues of two-dimensional Schrödinger operators
• Dipoles in Graphene Have Infinitely Many Bound States
• Accumulation Rate of Bound States of Dipoles in Graphene
• On the virtual levels of positively projected massless Coulomb-Dirac operators