• 文献标题:   Quasiparticles for a quantum dot array in graphene and the associated magnetoplasmons
  • 文献类型:   Article
  • 作  者:   BERMAN OL, GUMBS G, ECHENIQUE PM
  • 作者关键词:   carbon, conduction band, eigenvalues eigenfunction, nanostructured material, plasmon, quantum dot, tightbinding calculation, valence band, wave function
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   CUNY
  • 被引频次:   6
  • DOI:   10.1103/PhysRevB.79.075418
  • 出版年:   2009

▎ 摘  要

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 wave function with interdot 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 less than or similar to 100 A.