Quasiparticles for quantum dot array in graphene and the associated Magnetoplasmons

Details Quasiparticles for quantum dot array in graphene and the associated Magnetoplasmons Quasiparticles for quantum dot array in graphene and the associated Magnetoplasmons

2009-01-08

arxiv.org/abs/0901.1131v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevB.79.075418

We calculate the low-frequency magnetoplasmon excitation spectrum for a square array of quantum dots on a two-dimensional (2D) graphene layer. The confining potential is linear in the distance from the center of the quantum dot. The electron eigenstates in a magnetic field and confining potential are mapped onto a 2D plane of electron-hole pairs in an effective magnetic field without any confinement. The tight-binding model for the array of quantum dots leads to a wavefunction with inter-dot mixing of the quantum numbers associated with an isolated quantum dot. For chosen confinement, magnetic field, wave vector and frequency, we plot the dispersion equation as a function of the period $d$ of the lattice. We obtain those values of $d$ which yield collective plasma excitations. For the allowed transitions between the valence and conduction bands in our calculations, we obtain plasmons when $d \lesssim 100 {\AA}$.

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