Study on the phase transition of the fractal scale-free networks

• 来源期刊: 中国物理B（英文版）
• 关键词: fractal scale-free network phase transition renormalization
• 年，卷（期）: 2018,（10）
• 页码范围: 480-486
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/10/106402

摘要

Based on the Ising spin, the phase transition on fractal scale-free networks with tree-like skeletons is studied, where the loops are generated by local links. The degree distribution of the tree-like skeleton satisfies the power-law form P(k)～k?δ. It is found that whenδ ≥3, the renormalized scale-free network will have the same degree distribution as the original network. For a special case ofδ =4.5, a ferromagnetic to paramagnetic transition is found and the critical temperature is determined by the box-covering renormalization method. By keeping the structure of the fractal scale-free network constant, the numerical relationship between the critical temperature and the network size is found, which is the form of power law.