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Article overview
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Finite-size version of the excitonic instability in graphene quantum dots | Tomi Paananen
; Reinhold Egger
; | Date: |
1 Sep 2011 | Abstract: | By a combination of Hartree-Fock simulations, exact diagonalization, and
perturbative calculations, we investigate the ground-state properties of
disorder-free circular quantum dots formed in a graphene monolayer. Taking the
reference chemical potential at the Dirac point, we study N leq 15 interacting
particles, where the fine structure constant {alpha} parametrizes the Coulomb
interaction. We explore three different theoretical concepts: (i) Sucher’s
positive projection ("no-pair") approach, (ii) a more general Hamiltonian
conserving both N and the number of additional electron-hole pairs, and (iii)
the full quantum electrodynamics (QED) problem, where only N is conserved. We
find that electron-hole pair production is important for {alpha} 1. This
corresponds to a reconstruction of the filled Dirac sea and is a finite-size
version of the bulk excitonic instability. We also address the effects of an
orbital magnetic field. | Source: | arXiv, 1109.0174 | Services: | Forum | Review | PDF | Favorites |
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