Dynamics of the spin- XY chain with Dzyaloshinskii–Moriya interaction

2005 ◽  
Vol 359-361 ◽  
pp. 1403-1405 ◽  
Author(s):  
Oleg Derzhko ◽  
Taras Verkholyak
Keyword(s):  
Xy Chain ◽  
2018 ◽  
Vol 16 (06) ◽  
pp. 1850051 ◽  
Author(s):  
Biao-Liang Ye ◽  
Yan Luo ◽  
Shu-Yuan Jiang ◽  
Dan Zhang ◽  
Jian-Qin Xu ◽  
...  

We study quantum phase transition of the [Formula: see text] spin model with Dzyaloshinsky–Moriya interaction, by using quantum correlation measures, i.e. quantum deficit and measurement-induced disturbance. It is shown that as the Dzyaloshinsky–Moriya coupling parameter [Formula: see text] increases, the behaviors of quantum phase transition can be suppressed. We also investigate quantum phase transition for the Ising and [Formula: see text] spin models at finite temperature. It is found that quantum phase transition characterized by measurement-induced disturbance is greater than or equal to that characterized by quantum deficit. Other interesting analytical results and numerical results on quantum phase transition for the proposed spin models are also presented by applying the two measures. Furthermore, we also compare quantum deficit and measurement-induced disturbance with quantum entanglement, quantum discord and quantum coherence.


2017 ◽  
Vol 15 (03) ◽  
pp. 1750021 ◽  
Author(s):  
Wajid Joyia ◽  
Khalid Khan

In this paper, we address the tripartite quantum discord for the Heisenberg XY chain with the Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group (QRG) method. In thermodynamic limit, like the entanglement, the tripartite discord exhibits the quantum phase transition (QPT) between the spin-fluid and the Neel phases. The effect of the DM interaction and the anisotropy on the features of the tripartite quantum discord has been probed. It is noted that the DM interaction brings the critical point earlier and affects heavily with the size of the system. Moreover, the system requires a larger number of the iterations to achieve the QPT for the tripartite quantum discord as compared to the entanglement.


2008 ◽  
Vol 17 (8) ◽  
pp. 2800-2803 ◽  
Author(s):  
Qin Meng ◽  
Xu Sheng-Long ◽  
Tao Ying-Juan ◽  
Tian Dong-Ping

2011 ◽  
Vol 20 (10) ◽  
pp. 100307
Author(s):  
Jian Zhang ◽  
Bin Shao ◽  
Jian Zou ◽  
Qian-Shu Li

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Woo Seung Ham ◽  
Abdul-Muizz Pradipto ◽  
Kay Yakushiji ◽  
Kwangsu Kim ◽  
Sonny H. Rhim ◽  
...  

AbstractDzyaloshinskii–Moriya interaction (DMI) is considered as one of the most important energies for specific chiral textures such as magnetic skyrmions. The keys of generating DMI are the absence of structural inversion symmetry and exchange energy with spin–orbit coupling. Therefore, a vast majority of research activities about DMI are mainly limited to heavy metal/ferromagnet bilayer systems, only focusing on their interfaces. Here, we report an asymmetric band formation in a superlattices (SL) which arises from inversion symmetry breaking in stacking order of atomic layers, implying the role of bulk-like contribution. Such bulk DMI is more than 300% larger than simple sum of interfacial contribution. Moreover, the asymmetric band is largely affected by strong spin–orbit coupling, showing crucial role of a heavy metal even in the non-interfacial origin of DMI. Our work provides more degrees of freedom to design chiral magnets for spintronics applications.


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