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无长程序的混合自旋反铁磁材料L 2 BaNiO 5 的理论研究

孔红艳, Lin Zhang, 宋筠

Published Jun 20, 2006• 0 citations
Publisher

Abstract

构建了准一维自旋为1的反铁磁Heisenberg模型, 并采用双时Green函数理论研究了无长程序的反铁磁材料L 2 BaNiO 5 在奈尔温度以上时的物理性质. 得到了该系统的关联函数、沿Ni链方向的激发谱以及该激发谱中Haldane能隙随温度的变化关系. 我们发现, 虽然高温时该系统Boson凝聚消失, 反铁磁长程序不存在, 但是由于该系统中的短程关联仍然存在, 致使激发谱中仍然存在能隙. 而且受Ni离子与稀土离子间磁相互作用的影响, 致使沿Ni链方向激发谱的能量增强. 另外, 还发现随着温度的升高Haldane能隙在增加.

DOI
10.1360/2006-36-3-274

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Acta Physica Sinica•Jan 1, 2000•1 citation
构建了准一维自旋为1的反铁磁Heisenberg模型, 并采用双时Green函数理论研究了无长程序的反铁磁材料L 2 BaNiO 5 在奈尔温度以上时的物理性质. 得到了该系统的关联函数、沿Ni链方向的激发谱以及该激发谱中Haldane能隙随温度的变化关系. 我们发现, 虽然高温时该系统Boson凝聚消失, 反铁磁长程序不存在, 但是由于该系统中的短程关联仍然存在, 致使激发谱中仍然存在能隙. 而且受Ni离子与稀土离子间磁相互作用的影响, 致使沿Ni链方向激发谱的能量增强. 另外, 还发现随着温度的升高Haldane能隙在增加.
关于磁性宏观量子隧道效应的一个有趣的理论结果 ,是所谓的宇称效应 .几位作者用自旋相干态路径积分方法证明 :若单个自旋的Hamiltonian^H绕z轴有M重旋转对称性 ,则当自旋量子数S不是M/ 2的整数倍时,〈-Se-i^Ht S〉为零 ,此处|m〉(m =-S ,-S + 1 ,… ,S)是自旋算符z分量^Sz 的本征态.这里不仅对上述结论给出了一个纯量子力学的证明(不限于大自旋极限 ) ,而且把它推广到更一般情形:对于由N个自旋构成的量子系统(其Hamiltonian记为^H) ,包括单个自旋、铁磁微粒和反铁磁微粒作为特例,若 ^H仍具有前述对称性 ,则当∑Ni=1(mi-m′i)不等于M的整数倍时,〈m′N…m′2m′1|e-i^Ht m1m2 …mN〉为零,此处|m1m2 …mN〉 =∏ Nα=1mα〉 ,而|mα〉是^Szα 的本征态.另外,对于大自旋,上述宇称效应并不表示自旋从±z向到_+z向的隧穿被淬灭.
Magnetic excitations of the ideal one-dimensional, spin S =1, antiferromagnet Y 2 BaNiO 5 are studied by means of inelastic neutron scattering on single crystal sample. Our experimental results at low temperature indicate that Y 2 BaNiO 5 can be regarded as the best isotropic Haldane-system sofar studied with the intrachain exchange energy J / k B =-24.1 meV and the averaged gap Δ( T =7 K)=8.5 meV. Y 2 BaNiO 5 exhibits a good magnetic one-dimensionality with the inter-/intrachain exchange ratio of | J ′ / J |≤10 -4 and has only very small easy-axis and in-plane single ion anisotropy of | D / J |=0.03 and | E / J |∼0.01. In addition the temperature dependence of the Haldane gap Δ( T ) and its damping rate was determined.
We consider the finite-temperature dynamical susceptibility $\ensuremath{\chi}(\ensuremath{\omega},q,T)$ of gapped quantum spin chains such as the integer spin Heisenberg and transverse field Ising models. At zero temperature $\ensuremath{\chi}$ in these models is dominated by a delta-function line arising from the coherent propagation of single-particle modes. Using methods of integrable quantum field theory, we determine the evolution of the lineshape at low temperatures. We show that the lineshape is in general asymmetric in energy. We discuss the application of our results to inelastic neutron-scattering experiments on gapped spin chain systems such as Y2BaNiO5{\text{Y}}_{2}{\text{BaNiO}}_{5}Y2​BaNiO5​ and CsNiCl3{\text{CsNiCl}}_{3}CsNiCl3​.
摘要 采用变分累积展开法研究了超立方格点上任意自旋的量子Heisenberg薄膜的临界点.从自由能的解析性质出发,原则上能计算作为多层膜层数l函数的临界约化温度θ(n)(l)到任意累积展开级次n.给出了θ(n)(l)的前三级解析表达式和数值结果,并对结果作了分析和讨论. Abstract 作者及机构信息 陈洪, 郑瑞伦 1. 西南师范大学物理系,重庆400715 Authors and contacts 1. 西南师范大学物理系,重庆400715 参考文献 施引文献