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Infinite-disorder Critical Point of Dilute Quantum Transverse Ising Model on a Small World Network
Xiang-Mu Kong *,Jia-Xue Liu
College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
*Correspondence author
#Submitted by
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Funding: National Natural Science Foundation of China (No.Grant No. 11275112), the Natural Science Foundation of Shandong Province of China(No.Grant No. ZR2011AM018), Specialized Research Fund for the Doctoral Program of Higher Education (No.Grant Nos. 20103705110001, 20123705110004)
Opened online:27 January 2014
Accepted by: none
Citation: Xiang-Mu Kong,Jia-Xue Liu.Infinite-disorder Critical Point of Dilute Quantum Transverse Ising Model on a Small World Network[OL]. [27 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4583461
 
 
We investigate the effects of the topology of the small world networks on the infinite disorder critical point of the dilute quantum transverse Ising spin system. The certain quantum phase transition of the system is dominated by the classical percolation transition on the small world networks. The results show that there are power law Griffiths singularities which are independent of the concentration of the random connected bonds away from the critical point and the strength of the Griffiths singularities on both sides of the infinite disorder critical point has no difference. The critical exponents on the infinite disorder critical point of the system are obtained and it is found that they are independent of the random connected bonds concentration in the small world networks.
Keywords:Disordered structures; Quantum phase transition; Long-range interactions; Static properties
 
 
 

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