Regensburg 2025 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 29: Poster II

HL 29.37: Poster

Dienstag, 18. März 2025, 18:00–20:00, P1

Non-Local Effects in Landau Quantized Two-Dimensional Electron Gases — •Sabrina Meyer¹, Andreas Knorr¹, Stephen Hughes², and Lara Greten¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin, Germany — ²Department of Physics, Queen’s University, Kingston, Canada

Landau levels are the quantum analogon of the cyclotron motion under a strong magnetic field in two-dimensional electron gases, as present in high quality GaAs films. Even though recent experimental work examines nanopatterning - introducing metal gaps to localize and amplify electric fields on the nanoscale - current theoretical descriptions still rely on a local susceptibility for excitation with large wavelengths. This study includes non-local effects in a microscopic theory for the electron dynamics: We find modified selection rules beyond the dipole approximation that allow for the direct excitation of ground state electrons to higher Landau levels, that are forbidden in a local description. These modifications become especially important when the electric field varies significantly within the spatial extend of the Landau level wave function (∝ 100 nm). This applies for nanopatterned devices as well as for light scattering with wavelength on the order of the Landau level radius.

Keywords: Landau levels; non-local susceptibility; theory; light-matter-interaction