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Title
Japanese: 
English:Free and freer XY models 
Author
Japanese: Yérali Gandica, HOLME PETTER.  
English: Yérali Gandica, Petter Holme.  
Language English 
Journal/Book name
Japanese: 
English:Physical Review E 
Volume, Number, Page Vol. 101    No. 3   
Published date Mar. 2020 
Publisher
Japanese: 
English: 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
Official URL https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.032311
 
DOI https://doi.org/10.1103/PhysRevE.101.032311
Abstract We study two versions of the XY model where the spins but also the interaction topology is allowed to change. In the free XY model, the number of links is fixed, but their positions in the network are not. We also study a more relaxed version where even the number of links is allowed to vary, we call it the freer XY model. When the interaction networks are dense enough, both models have phase transitions visible both in spin configurations and the network structure. The low-temperature phase in the free XY model is characterized by tightly connected clusters of spins pointing in the same direction and isolated spins disconnected from the rest. For the freer XY model the low-temperature phase is almost completely connected. In both models, exponents describing the magnetic ordering are mostly consistent with values of the mean-field theory of the standard XY model.

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