Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction
Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction
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DOI：
10.1103/physreva.84.042302
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发表时间：
2011-06
影响因子：
2.9
通讯作者：
Fu-Wu Ma;X. Kong
中科院分区：
文献类型：
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作者：
Fu-Wu Ma;X. Kong
利用量子重整化群方法研究了具有交错Dzyaloshinskiii-Moriya（DM）相互作用的各向异性自旋1/2 XY模型的量子纠缠和量子相变.得到了耦合常数的标度和系统的临界点。结果表明，当重整化群迭代次数趋于无穷大时，系统在自旋流体相和Neel相之间存在一个QPT，对应于DM相互作用强度的两个饱和值. DM相互作用可以增强系统的纠缠度，影响系统的量子点转移。为了得到更深入的理解，纠缠的一阶导数在临界点处表现出非解析的行为，它与关联长度的发散直接相关。这表明相关长度指数与临界指数密切相关，即，系统的缩放行为。
We study the quantum entanglement and quantum phase transition (QPT) of the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction by means of the quantum renormalization group method. The scaling of coupling constants and the critical points of the system are obtained. It is found that when the number of renormalization group iterations tends to infinity, the system exhibit a QPT between the spin-fluid and Neel phases which correspond with two saturated values of the concurrence for a given value of the strength of DM interaction. The DM interaction can enhance the entanglement and influence the QPT of the system. To gain further insight, the first derivative of the entanglement exhibit a nonanalytic behavior at the critical point and it directly associates with the divergence of the correlation length. This shows that the correlation length exponent is closely related to the critical exponent, i.e., the scaling behaviors of the system.