Thematic Einstein Semester on

Geometric and Topological Structure of Materials

Summer Semester 2021


Michael Klatt   (Saarland U)


Geometrical and Physical Properties of Novel Cellular Microstructures: From optimal "Quantizers" to "Phoamtonic" designs


Unique geometries often bring forth surprising physical behaviors. Thus, the characterization and construction of novel cellular microstructures can often help novel material design. In the first part of the talk, we will discuss an example of how an analysis of density fluctuations reveals a universal hidden order in locally optimized tessellations [1,2]. In the second part of the talk, we will turn foams into photonic networks that can control the flow of electromagnetic waves [3].

[1] Klatt, M. A. et al. Universal hidden order in amorphous cellular geometries. Nature Communications 10, 811 (2019).
[2] Hain, T. M., Klatt, M. A. & Schröder-Turk, G. E. Low-temperature statistical mechanics of the Quantizer problem: Fast quenching and equilibrium cooling of the three-dimensional Voronoi liquid. J. Chem. Phys. 153, 234505 (2020).
[3] Klatt, M. A., Steinhardt, P. J. & Torquato, S. Phoamtonic designs yield sizeable 3D photonic band gaps. Proc. Natl. Acad. Sci. USA 116, 23480–23486 (2019).