On the Finite-Size Excitonic Instability in Interacting Graphene Quantum Dots

Conference paper
Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)


Using Hartree-Fock simulations, exact diagonalization and perturbative calculations, we study ground-state properties of clean circular quantum dots formed in a graphene monolayer. With chemical potential at the neutrality point, we study N ≤ 15 interacting particles, where the fine structure constant α parametrizes the Coulomb interaction. We explore Sucher’s positive projection (“no-pair”) approach, a more general Hamiltonian conserving both N and the number of additional electron-hole pairs, and the full QED problem, where only N is conserved. We find electron-hole pair production for α > 1, where the filled Dirac sea is reconstructed and a finite-size excitonic instability occurs. We also address the case of an orbital magnetic field.


Dirac Point Graphene Monolayer Exact Diagonalization Magnetic Catalysis Interaction Matrix Element 
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© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Faculty of PhysicsUniversitat Bielefeld, FinanzbuchhaltungBielefeldGermany
  2. 2.Institut für Theoretische PhysikHeinrich-Heine-UniversitDüsseldorfGermany

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