Comparing measured and calculated local density of states in a disordered two-dimensional electron system
M. Morgenstern, J. Klijn, Chr. Meyer, R.A. Roemer, R. Wiesendanger

TL;DR
This study compares measured and calculated local density of states in a disordered two-dimensional electron system on n-InAs(110), revealing strong corrugations and irregularities due to weak localization effects.
Contribution
It provides a direct comparison between experimental LDOS measurements and theoretical calculations in a disordered 2DES, highlighting the impact of weak localization.
Findings
LDOS exhibits 20 times stronger corrugations than 3DES
Irregular structures in LDOS are observed due to weak localization
Fourier analysis shows dominant unperturbed k-values with additional lower k-values
Abstract
The local density of states (LDOS) of the adsorbate induced two-dimensional electron system (2DES) on n-InAs(110) is studied by low-temperature scanning tunneling spectroscopy. In contrast to a similar 3DES, the 2DES LDOS exhibits 20 times stronger corrugations and rather irregular structures. Both results are interpreted as a consequence of weak localization. Fourier transforms of the LDOS reveal that the k-values of the unperturbed 2DES still dominate the 2DES, but additional lower k-values contribute significantly. To clarify the origin of the LDOS patterns, we measure the potential landscape of the same 2DES area allowing to calculate the expected LDOS from the single particle Schr"odinger equation and to directly compare it with the measured one.
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