Visualizing Energy Structures of Spin Glasses

Disconnectivity graphs are two-dimensional representations of high-dimensional energy landscapes. Widely used to describe energy-landscapes and gain an understanding for the kinematics and thermodynamic properties of nano-clusters and polymers, they have yet to be thoroughly utilized for spin systems. Due to the effects of frustration, discrete spin systems possess extended minima energy structures which I have classified into three different types. These types are distinguished in the disconnectivity graphs using colors and their respective sizes are indicated via a bar chart. In this talk I will introduce the classification of the energy structures and show some of the results for different types of spin-glass systems. Note that the classification and analyses of the energy structures provides valuable information about the complexity of the systems and shows distinctive features specific to the models.