Potential Energy Landscapes of Spin Glasses on Archimedean lattices

I use augmented disconnectivity graphs to visualize and analyze the potential energy landscape of spin glasses. The disconnectivity graphs show the energy minima of the systems and the lowest highest barriers connecting the minima. Due to the effects of frustration, these minima can form extended structures on the energy landscape, which I have classified into three types. Together with regular minima, they are the type-1, type-2, and type-3 dales. In the disconnectivity graphs, the different types are distinguished via colors, and their sizes are indicated for the different energy levels. This classification provides in-depth insight when analyzing the properties of spin glasses, which I will illustrate with examples of spin glasses on the triangular, the Kagome, and the Snub Archimedean lattices. Each of the lattice topologies shows distinct characteristics in the occurrence and size of the minima structures, providing valuable information about the complexity of the systems, their accessibility to optimization procedures, and their implications for kinetic processes.