Phase transitions in two dimensions - the case of Sn adsorbed on Ge(111) surfaces
O. Bunk, J.H. Zeysing, G. Falkenberg, and R.L. Johnson, M. Nielsen,, M.M. Nielsen, and R. Feidenhans'l

TL;DR
This study precisely characterizes the atomic arrangements of Sn adsorbed on Ge(111) surfaces at different temperatures, revealing phase-dependent atomic displacements and substrate modifications.
Contribution
It provides accurate atomic coordinates for both room-temperature and low-temperature phases of Sn on Ge(111), highlighting structural differences and atomic displacements.
Findings
Sn atoms occupy T4-sites in the (root3xroot3)R30degree phase.
In the low-temperature phase, one Sn atom per (3x3) unit cell is displaced outward by 0.26 Å.
Displacement correlates with increased double-layer spacing in the Ge substrate.
Abstract
Accurate atomic coordinates of the room-temperature (root3xroot3)R30degree and low-temperature (3x3) phases of 1/3 ML Sn on Ge(111) have been established by grazing-incidence x-ray diffraction with synchrotron radiation. The Sn atoms are located solely at T4-sites in the (root3xroot3)R30degree structure. In the low temperature phase one of the three Sn atoms per (3x3) unit cell is displaced outwards by 0.26 +/- 0.04 A relative to the other two. This displacement is accompanied by an increase in the first to second double-layer spacing in the Ge substrate.
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