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arXiv 0812.4601cond-mat.str-elcond-mat.stat-mech
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自旋为1/2的XY链在三位相互作用下的动力学性质

Dynamic properties of the spin-1/2 XY chain with three-site interactions

Taras Krokhmalskii, Oleg Derzhko, Joachim Stolze, Taras Verkholyak

摘要:

本文研究了横场中自旋为1/2的XY链的多格点相互作用。引入哈密顿量的附加项涉及与三个相邻位置相关的自旋分量的乘积。一个乔丹-维格纳变换导致一个简单的双线性费米形式的哈密顿量,因此自旋模型承认一个严格的分析。我们指出了在以前的研究中分别讨论的模型的几个变体之间的密切关系。模型的基态相(铁磁体和两种自旋液体)反映在自旋链的动力学结构因子中,这是本研究的重点。首先,我们考虑zz动态结构因子报告这个数量的封闭形式的表达和分析的两个费米子(粒子-空穴)激发连续统,其中管理的横向自旋分量波动和其他一些本地运营商波动的动态特性。然后,我们研究的XX动态结构因子,这是由许多费米子激发,报告分析和数值结果。我们讨论了一些容易识别的特征的动态结构的因素,这是签名的存在下的三个网站的相互作用。

英文摘要:

We consider a spin-1/2 XY chain in a transverse (z) field with multi-site interactions. The additional terms introduced into the Hamiltonian involve products of spin components related to three adjacent sites. A Jordan-Wigner transformation leads to a simple bilinear Fermi form for the resulting Hamiltonian and hence the spin model admits a rigorous analysis. We point out the close relationships between several variants of the model which were discussed separately in previous studies. The ground-state phases (ferromagnet and two kinds of spin liquid) of the model are reflected in the dynamic structure factors of the spin chains, which are the main focus in this study. First we consider the zz dynamic structure factor reporting for this quantity a closed-form expression and analyzing the properties of the two-fermion (particle-hole) excitation continuum which governs the dynamics of transverse spin component fluctuations and of some other local operator fluctuations. Then we examine the xx dynamic structure factor which is governed by many-fermion excitations, reporting both analytical and numerical results. We discuss some easily recognized features of the dynamic structure factors which are signatures for the presence of the three-site interactions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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