Artifical atoms in interacting graphene quantum dots
arXiv:0905.3667 · doi:10.1103/PhysRevB.80.161402
Abstract
We describe the theory of few Coulomb-correlated electrons in a magnetic quantum dot formed in graphene. While the corresponding nonrelativistic (Schrödinger) problem is well understood, a naive generalization to graphene's "relativistic" (Dirac-Weyl) spectrum encounters divergencies and is ill-defined. We employ Sucher's projection formalism to overcome these problems. Exact diagonalization results for the two-electron quantum dot, i.e., the artificial helium atom in graphene, are presented.
4+ pages, 2 figures
References in corpus (27)
- The electronic properties of graphene
- Suspended Graphene: a bridge to the Dirac point
- Chaotic Dirac billiard in graphene quantum dots
- Temperature dependent transport in suspended graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- Spin qubits in graphene quantum dots
- Evidence of Klein tunneling in graphene p-n junctions
- Magnetic confinement of massless Dirac fermions in graphene
- Magnetic field driven metal-insulator phase transition in planar systems
- Quantum dots in graphene
- Is graphene in vacuum an insulator?
- Tunable Coulomb blockade in nanostructured graphene
- Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
- Lattice field theory simulations of graphene
- Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots
- Symmetry Classes in Graphene Quantum Dots: Universal Spectral Statistics, Weak Localization, and Conductance Fluctuations
- Observation of excited states in a graphene quantum dot
- Electron-Hole Crossover in Graphene Quantum Dots
- Analytic Model for the Energy Spectrum of a Graphene Quantum Dot in a Perpendicular Magnetic Field
- The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms
- Density-Functional Theory of Graphene Sheets
- Massive Dirac fermions in single-layer graphene
- Electron-electron interaction and charging effects in graphene quantum dots
- Coulomb Blockade in Graphene Nanodisks
- Absence of Wigner Crystallization in Graphene
- Edge states in graphene quantum dots: Fractional quantum Hall effect analogies and differences at zero magnetic field
- Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
Cited by in corpus (14)
- Properties of Graphene: A Theoretical Perspective
- Barrier transmission of Dirac-like pseudospin-one particles
- Quantum dots and spin qubits in graphene
- Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
- Current resonances in graphene with time dependent potential barriers
- States near Dirac points of rectangular graphene dot in a magnetic field
- Finite-size version of the excitonic instability in graphene quantum dots
- Magnetic scattering of Dirac fermions in topological insulators and graphene
- Electron states in the field of charged impurities in two-dimensional Dirac systems
- Wigner localization in a graphene quantum dot with a mass gap
- Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots
- Multiparticle equations for interacting Dirac Fermions in graphene nanostructures
- Two-electron bound states near a Coulomb impurity in gapped graphene
- Correlation and current anomalies in helical quantum dots