scholarly journals Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Jie Ren ◽  
Wen-Long You ◽  
Andrzej M. Oleś
2005 ◽  
Vol 731 (3) ◽  
pp. 352-359
Author(s):  
Junpeng Cao ◽  
Gang Xiong ◽  
X.C. Xie ◽  
X.R. Wang ◽  
Yupeng Wang

2015 ◽  
Vol 29 (09) ◽  
pp. 1550071 ◽  
Author(s):  
Jing-Min Zhu

For matrix product states of one-dimensional spin-1/2 chains, we investigate the properties of quantum phase transition of the proposed composite system. We find that the system has three different ferromagnetic phases, one line of the two ferromagnetic phases coexisting equally describes the paramagnetic state, and the other two lines of two ferromagnetic phases coexisting equally describe the ferrimagnetic states, while the three phases coexisting equally point describes the ferromagnetic state. Whether on phase transition lines or at the phase transition point, the system is always in an isolated mediate-coupling state, the physical quantities are discontinuous and the system has long-range correlation and has long-range classical correlation and long-range quantum correlation. We believe that our work is helpful for comprehensively and profoundly understanding the quantum phase transitions, and of some certain guidance and enlightening on the classification and measure of quantum correlation of quantum many-body systems.


2004 ◽  
Vol 174 (8) ◽  
pp. 853 ◽  
Author(s):  
Sergei M. Stishov

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