Electron diffraction by periodic arrays of quantum antidots

J. P. Leburton, Yu B. Lyanda-Geller

Research output: Contribution to journalArticlepeer-review


Electron diffraction by a periodic array of repulsive δ barriers is an analytically solvable quantum-mechanical problem. In this geometry, bearing some analogy with single-barrier tunneling, incident electrons are perpendicular to the periodic barrier of antidots. In contrast to conventional quasi-one-dimensional tunneling, which conserves the component of the electron wave vector transverse to the current, electron diffraction occurs through multiple channels characterized by the transverse electron wave vectors differing by the reciprocal lattice vector of the periodic array. For a one-dimensional (ID) array of two-dimensional (2D) δ potentials we predict highly nonlinear characteristics in the vicinity of Fermi energies when a new channel for diffraction opens up. Two lines of ID arrays reveal a rich resonant diffraction structure.

Original languageEnglish (US)
Pages (from-to)17716-17723
Number of pages8
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number24
StatePublished - 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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