Eur. Phys. J. B 66, 51-55 (2008)
https://doi.org/10.1140/epjb/e2008-00395-2

Polaronic effects in one-dimensional quantum antidot arrays

Department of Physics, Faculty of Sciences, Ankara University, 06100 Tandoğan, Ankara, Turkey

Corresponding author: ^a kandemir@science.ankara.edu.tr

Received: 9 July 2008
Published online: 24 October 2008

Abstract

We study the effect of polaronic corrections arising from the electron-longitudinal optical phonon interaction on the energy spectrum of a two-dimensional electron system with a one-dimensional periodic antidot array geometry created by a weak electrostatic modulation potential, and subjected to a weak magnetic field modulation as well as a uniform strong perpendicular static magnetic field. To incorporate the effects of electron-phonon interactions within the framework of Fröhlich polaron theory, we first apply a displaced-oscillator type unitary transformation to diagonalise the relevant Fröhlich Hamiltonian, and we then determine the parameters of this transformation together with the parameter included in the electronic trial wave function . On the basis of this technique, it has been shown that the polaronic corrections have non-negligible effects on the electronic spectrum of a two-dimensional electron system with a quantum antidot array, since switching such an interaction results in shifting the degeneracy restoring points of Landau levels wherein the flatband condition is fulfilled, thus suppressing the Weiss oscillations.