Multiparticle equations for interacting Dirac fermions in magnetically confined graphene quantum dots

2010/01/31 by R. Egger, Reinhold Egger, Alessandro De Martino +5
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics #cond-mat.mes-hall #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/43/21/215202

published as J. Phys. A: Math. Theor. 43 (2010) 215202. · 19 pages, 3 figures, published version

openalex publication_date 2010/05/04 · arxiv created 2010/05/05 · arxiv updated 2010/05/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the energy of quasi-particles in graphene within the Hartree-Fock approximation. The quasi-particles are confined via an inhomogeneous magnetic field and interact via the Coulomb potential. We show that the associated functional has a minimizer and determine the stability conditions for the N-particle problem in such a graphene quantum dot.

Citations

• Magnetic Confinement of Massless Dirac Fermions in Graphene
• Electronic structure of quantum dots
• Fock-Darwin States of Dirac Electrons in Graphene-Based Artificial Atoms
• The electronic properties of graphene
• On the Hartree-Fock Equations of the Electron-Positron Field