论文标题

在张开的抗铁磁XXZ旋转1/2链中的Spinon限制

Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain

论文作者

Rutkevich, S. B.

论文摘要

散发的抗铁磁磁性方案中无限的海森贝格XXZ自旋(1/2)链具有两个退化的真空吸尘器和扭结拓扑激发(也称为蜘蛛),将这些真空作为基本激发。任意交错的纵向磁场h的应用可引起两个相邻的蜘蛛之间的远距离吸引力,从而将它们限制在“梅森”结合状态下。利用XXZ模型在去构型相H = 0中的集成性,我们使用交错的磁场h的强度作为小参数,对H \至+0的弱限制状态中的两翼型结合状态的能光谱进行扰动计算。在弱限制方案中,在h中的领先顺序的弱点近似中也计算了局部自旋算子的横向和纵向动力学结构因子。

The infinite Heisenberg XXZ spin-(1/2) chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations. Application of an arbitrary weak staggered longitudinal magnetic field h induces a long-range attractive potential between two adjacent spinons leading to their confinement into 'meson' bound states. Exploiting the integrability of the XXZ model in the deconfined phase h = 0, we perform perturbative calculations of the energy spectra of the two-spinon bound states in the weak confinement regime at h \to +0, using the strength of the staggered magnetic field h as a small parameter. Both transverse and longitudinal dynamical structure factors of the local spin operators are calculated as well in the two-spinon approximation in the weak confinement regime to the leading order in h.

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