Electronic properties of α − 3 quantum dots in magnetic fields

We address the electronic properties of quantum dots in the two-dimensional α − 𝒯 3 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 α − 𝒯 3 quantum dot in a magnetic field by calculating the local density of states and the conductance within the kernel polynomial and Landauer-Buttiker approaches. Thereby the influence of a disordered environment is discussed as well.