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S＝1铁磁模型中阻挫和各向异性引起的量子相变 被引量：1

Quantum phase transition caused by the frustration and anisotropic effect in the S＝1 ferromagnetic model
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摘要 利用密度矩阵重整化群(density matrix renormalization group,DMRG)方法研究近邻作用为铁磁耦合、次近邻为反铁磁耦合的一维S=1的各向异性海森堡自旋模型.计算了该系统的基态能、z轴自旋关联函数和面内自旋关联函数.结果表明:各向异性值Δ和阻挫α的相互作用使得系统基态发生相变;在低阻挫区域,Δ>1时系统为铁磁相,0<Δ<1时基态处于自旋液体相;在阻挫较大的区域,自旋关联函数随距离的增大呈现指数函数形式衰减,且具有周期振荡特征,与自旋S=1/2的结果形成鲜明的对比. By using the density matrix renormalization group （DMRG） method, the author investi- gates the diagram of the one-dimensional frustrated anisotropic ferromagnetic S= 1 Heisenberg spin model, in which the nearest neighboring interactions are anisotropic ferromagnetic and the next nea- rest neighboring exchanges are considerable anti-ferromagnetic. The ground state energy and both the in-plane and out-of-plane spin correlation functions are calculated. Apart from the ferromagnetic phase and the spin-fluid phase in the small frustration region, but in the large frustration region, it is identified that spin correlations decay with a short-range exponential law and an oscillating behav- ior. The result is different from the previous result for S=1/2.
作者 李俊英 彭晓亮 潘丽华 刘拥军
机构地区 扬州大学物理科学与技术学院
出处 《扬州大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第2期29-33,共5页 Journal of Yangzhou University：Natural Science Edition
基金 江苏省科技支撑计划(工业)项目(BE2009106)
关键词 密度矩阵重整化群 阻挫 各向异性 铁磁海森堡模型 自旋关联 density matrix renormalization group frustration anisotropy Heisengberg model spincorrelation function
分类号 O413.1 [理学—理论物理]
  • 相关文献

参考文献17

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共引文献1

同被引文献19

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  • 7HASE M, KUROE H, OZAWA K, et al. Magnetic properties of Rb2Cu2Mo3O12 including a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest- neighbor exchange interactions [J]. Phys Rev B, 2004, 70(10): 104426: 1-6.
  • 8DRECHSLER S L, RICHTER J, GIPPIUS A A, et al. Helical ground state and weak ferromagnetism in the edge-shared chain cuprate NaCu2O2[J]. Europhys I.ett, 2006, 73(1): 83-89.
  • 9ENDERLE M, MUKHERJEE C, FAK B, et al. Quantum helimagnetism of the frustrated spin-1/2 chain LiCuVO4[J]. Europhys Lett, 2005, 70(2): 237-243.
  • 10DMITRIEV D V, KRIVNOV V Ya. Multimagnon bound states in an easy-axis frustrated ferromagnetic spin chain [J]. Phys Rev B, 2009, 79(5): 054421:1-10.

引证文献1

扬州大学学报（自然科学版）
2012年 第2期

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