# Regensburg 2016 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# HL: Fachverband Halbleiterphysik

## HL 53: Poster II

### HL 53.32: Poster

### Mittwoch, 9. März 2016, 09:30–13:30, Poster A

**Imaging of Condensed Quantum States in the Quantum Hall Effect Regime** — Josef Oswald^{1} and •Rudolf A. Römer^{2} — ^{1}Leoben University, Franz Josef Str. 18, A-8700 Leoben, Austria — ^{2}University of Warwick, Coventry CV4 7AL, UK

It has been proposed already some time ago that Wigner crystallization in the tails of the Landau levels may play an important role in the quantum Hall regime. Here we use numerical simulations for modelling condensed quantum states and propose real space imaging of such highly correlated electron states by scanning gate microscopy (SGM). The ingredients for our modelling are a many particle model that combines a self-consistent Hartree-Fock calculation for the steady state with a non-equilibrium network model for the electron transport. If there exist condensed many particle quantum states in our electronic model system, our simulations demonstrate that the response pattern of the total sample current as a function of the SGM tip position delivers detailed information about the geometry of the underlying quantum state. For the case of a ring shaped dot potential in the few electron limit it is possible to find regimes with a rigid (condensed) charge distribution in the ring, where the SGM pattern corresponds to the probability density of the quantum states. The existence of the SGM image can be interpreted as the manifestation of an electron solid, since the pattern generation of the charge distribution requires certain stability against the moving tip potential.