Electronic Properties of Quantum Dots in Magnetic Fields
arXiv:2009.02504 · doi:10.1140/epjb/e2020-10178-2
Abstract
We address the electronic properties of quantum dots in the two-dimensional lattice when subjected to a perpendicular magnetic field. Implementing an infinite mass boundary condition, we first solve the eigenvalue problem for an isolated quantum dot in the low-energy, long-wavelength approximation where the system is described by an effective Dirac-like Hamiltonian that interpolates between the graphene (pseudospin 1/2) and Dice (pseudospin 1) limits. Results are compared to a full numerical (finite-mass) tight-binding lattice calculation. In a second step we analyse charge transport through a contacted quantum dot in a magnetic field by calculating the local density of states and the conductance within the kernel polynomial and Landauer-Büttiker approaches. Thereby the influence of a disordered environment is discussed as well.
arXiv comment11 pager, 10 figures
References in corpus (45)
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Chiral tunneling and the Klein paradox in graphene
- Chaotic Dirac billiard in graphene quantum dots
- Kwant: a software package for quantum transport
- The Kernel Polynomial Method
- Boundary conditions for Dirac fermions on a terminated honeycomb lattice
- Aharonov-Bohm cages in two-dimensional structures
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Aharonov-Bohm effect in graphene
- 3D massless Kane fermions observed in a zinc-blende crystal
- From dia- to paramagnetic orbital susceptibility of Dirac cones
- Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
- Barrier transmission of Dirac-like pseudospin-one particles
- Conductance of p-n-p graphene structures with 'air-bridge' top gates
- Electrostatic confinement of electrons in an integrable graphene quantum dot
- Lattice generalization of the Dirac equation to general spin and the role of the flat band
- Analytic Model for the Energy Spectrum of a Graphene Quantum Dot in a Perpendicular Magnetic Field
- Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
- Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
- Modeling edge effects in Graphene Nanoribbon Field-effect Transistors with real and mode space methods
- Photon-assisted electron transport in graphene
- Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling
- Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
- Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
- Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions
- Valley-polarized magnetoconductivity and particle-hole symmetry breaking in a periodically modulated - lattice
- Mie scattering by a charged dielectric particle
- Scattering of two-dimensional massless Dirac electrons by a circular potential barrier
- Aharonov-Bohm effect in an electron-hole graphene ring system
- Imaging Dirac fermions flow through a circular Veselago lens
- Spin Orbit Interaction and Isotropic Electronic Transport in Graphene
- Metal-to-insulator transition and electron-hole puddle formation in disordered graphene nanoribbons
- Anderson disorder in graphene nanoribbons: A local distribution approach
- Interplay of Lorentz-Berry forces in position-momentum spaces for valley-dependent impurity scattering in alpha-T3 lattices
- Electron dynamics in graphene with gate-defined quantum dots
- Electron confinement in graphene with gate-defined quantum dots
- Non-equilibrium transport in the pseudospin-1 Dirac-Weyl system
- Intravalley Multiple Scattering of Quasiparticles in Graphene
- Effects of disorder and contacts on transport through graphene nanoribbons
- Floquet scattering of light and sound in Dirac optomechanics
- Comment on "Anderson transition in disordered graphene"
- Graphene under the influence of Aharonov-Bohm flux and constant magnetic field
- Resonant scattering of Dice quasiparticles on oscillating quantum dots
- Transport and quantum coherence in graphene rings: Aharonov-Bohm oscillations, Klein tunneling and particle localization
- Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators