Polaronic effects in one-dimensional quantum antidot arrays
Department of Physics, Faculty of Sciences, Ankara University, 06100 Tandoğan, Ankara, Turkey
Corresponding author: a firstname.lastname@example.org
Published online: 24 October 2008
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.
PACS: 68.65.Hb – Quantum dots (patterned in quantum wells) / 81.07.Ta – Quantum dots / 85.35.Be – Quantum well devices (quantum dots, quantum wires, etc.) / 73.21.-b – Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008