2011/06/05 by Fu-Wu Ma, Shengxin Liu, Xiang-Mu Kong · 87 citations
Computer Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical point (mathematics) #Divergence (linguistics) #Exponent #Geometry #Mathematics #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum critical point #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization #Renormalization group #Scaling #Spin (aerodynamics) #Thermodynamics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.84.042302
published in Physical Review A 84(4) (American Physical Society) · 12 pages, 7 figures
arxiv created 2011/06/05 · openalex publication_date 2011/10/03 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 N'eel 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.