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Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots by Paananen, Tomi; Egger, Reinhold; Siedentop, Heinz is a scholarly article available to read on EtoBox.

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We study $N$ interacting massless Dirac fermions confined in a two-dimensional quantum dot. Physical realizations of this problem include a graphene monolayer and the surface state of a strong topological insulator. We consider both a magnetic confinement and an infinite mass confinement. The ground state energy is computed as a function of the effective interaction parameter $\alpha$ from the Hartree-Fock approximation and, alternatively, by employing the M\"uller exchange functional. For N=2, we compare those approximations to exact diagonalization results. The Hartree-Fock energies are highly accurate for the most relevant interaction range $\alpha\alt 2$, but the M\"uller functional leads to an unphysical instability when $\alpha\agt 0.756$. Up to 20 particles were studied using Hartree-Fock calculations. Wigner molecule formation was observed for strong but realistic interactions, accompanied by a rich peak structure in the addition energy spectrum.

Author

Paananen, Tomi; Egger, Reinhold; Siedentop, Heinz

Published

2010

Language

EN