Network Robustness: detecting quantum critical phase transitions in the XY model
Chung-Pin Chou1, Hong-Yi Chen2, Yi-Hua Wang2*
1Beijing Computational Science Research Center, Beijing, China
2Physics, National Taiwan Normal University, Taipei, Taiwan
* presenting author:Yi-Hua Wang,
The network system can be used to analyze the interaction in the many body system. We want to detect the phrase transition in the XY model in terms of the complex network theory from real space. The network space experiences a homogeneous-heterogeneous transition in real space. Now, the network robustness could be the order parameter to distinguish the ferromagnetic and paramagnetic phases in the XY model.Based on the graph spectrum, the robustness is similar to entanglement entropy. We suggest that the idea of the network robustness can be applied to characterizing the phase transition in the XY model.

Keywords: Network, XY model, quantum critical phase transition, entanglement entropy