Spin glass behavior of the antiferromagnetic Heisenberg model on scale free network

26th IUPAP Conference on Computational Physics

物理学;计算机科学

Surungan, Tasrief^1,3 ; Zen, Freddy P.^2,3 ; Williams, Anthony G.^4

Department of Physics, Hasanuddin University, Makassar

90245, Indonesia^1

Department of Physics, Bandung Institute of Technology, Bandung

40132, Indonesia^2

Indonesian Center for Theoretical and Mathematical Physics (ICTMP), Bandung Institute of Technology, Bandung

40132, Indonesia^3

Special Research Center for the Subatomic Structure of Matter (CSSM), University of Adelaide, Adelaide

SA

5005, Australia^4

关键词: Antiferromagnetic Heisenberg models;    Antiferromagnetics;    Canonical systems;    Critical temperatures;    D-dimensional regular lattices;    Heisenberg models;    Lower critical dimension;    Spin-glass behavior;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/640/1/012005/pdf
DOI  :  10.1088/1742-6596/640/1/012005

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Randomness and frustration are considered to be the key ingredients for the existence of spin glass (SG) phase. In a canonical system, these ingredients are realized by the random mixture of ferromagnetic (FM) and antiferromagnetic (AF) couplings. The study by Bartolozzi et al. [Phys. Rev. B73, 224419 (2006)] who observed the presence of SG phase on the AF Ising model on scale free network (SFN) is stimulating. It is a new type of SG system where randomness and frustration are not caused by the presence of FM and AF couplings. To further elaborate this type of system, here we study Heisenberg model on AF SFN and search for the SG phase. The canonical SG Heisenberg model is not observed in d-dimensional regular lattices for (d ≤ 3). We can make an analogy for the connectivity density (m) of SFN with the dimensionality of the regular lattice. It should be plausible to find the critical value of m for the existence of SG behaviour, analogous to the lower critical dimension (dl) for the canonical SG systems. Here we study system with m = 2, 3, 4 and 5. We used Replica Exchange algorithm of Monte Carlo Method and calculated the SG order parameter. We observed SG phase for each value of m and estimated its corersponding critical temperature.