Arkadiusz Wojs

Electronic properties of gated triangular graphene quantum dots: Magnetism, correlations, and geometrical effects

We present a theory of electronic properties of gated triangular graphene quantum dots with zigzag edges as a function of size and carrier density. We focus on electronic correlations, spin, and geometrical effects using a combination of atomistic tight-binding, Hartree-Fock, and configuration interaction methods (TB + HF + CI), including long-range Coulomb interactions. The single-particle energy spectrum of triangular dots with zigzag edges exhibits a degenerate shell at the Fermi level with a degeneracy

Quasiparticle interactions in fractional quantum Hall systems: Justification of different hierarchy schemes

{N}_{\mathrm{edge}}

Exciton droplets in zero dimensional systems in a magnetic field

proportional to the edge size. We determine the effect of the electron-electron interactions on the ground state, the total spin, and the excitation spectrum as a function of a shell filling and the degeneracy of the shell using TB + HF + CI for

Exciton-exciton interactions in highly excited quantum dots in a magnetic field

{N}_{\mathrm{edge}}l12

Composite fermions and the fractional quantum Hall effect: essential role of the pseudopotential

and approximate CI method for

Electronic structure and optical properties of self-assembled quantum dots

{N}_{\mathrm{edge}}\ensuremath{\geqslant}12

Fractional quantum Hall states of clustered composite fermions

. For a half-filled neutral shell we find spin-polarized ground state for structures up to

Composite fermions and quantum Hall systems: role of the Coulomb pseudopotential

N=500

Composite fermions in fractional quantum Hall systems

atoms in agreement with previous ab initio and mean-field calculations and in agreement with Liebs theorem for a Hubbard model on a bipartite lattice. Adding a single electron leads to the complete spin depolarization for

Hund's rule for monopole harmonics, or why the composite fermion picture works

{N}_{\mathrm{edge}}\ensuremath{\leqslant}9