Abstract
Ordinary coincidence site lattices (CSLs) are very well understood for a large class of lattices in dimensions d≤ 4, as well as their generalization for various highly symmetric modules. Here, we consider multiple coincidence site lattices, i.e. intersections of several ordinary CSLs, which appear in connection with triple and multiple junctions. We restrict our considerations to the most prominent lattices in dimensions d≤3 and present an outlook for further lattices and modules.
Acknowledgements
The authors are grateful to Uwe Grimm and Peter Pleasants for helpful discussions on the present subject. This work was supported by the German Research Council (DFG) within the CRC 701.