论文标题

在过渡线上具有铁磁和反铁磁相互作用的自旋三角链

Spin triangle chain with ferromagnetic and antiferromagnetic interactions on the transition line

论文作者

Krivnov, V. Ya., Dmitriev, D. V.

论文摘要

我们研究了旋转 - $ \ frac {1} {2} $三角形线性链的各向异性模型,具有竞争性的铁磁相互作用和抗抗铁磁相互作用,而铁磁性链球菌之间的相互作用。对于相互作用之间的一定比例,一块刺激带是无分散的,导致存在局部粘液状态,这些状态形成了宏观退化的基态。激发光谱具有特定的结构,具体取决于三角形三角形相互作用的值。这种特定的结构决定了低温热力学,尤其是特定热的温度依赖性。在相互作用的强各向异性的极限下,频谱具有多尺度结构,该结构由小参数上的子集组成。每个子集负责特定热的温度依赖性中峰的出现。

We investigate spin-$\frac{1}{2}$ anisotropic model of a linear chain of triangles with competing ferro- and antiferromagnetic interactions and ferromagneic Heisenberg interactions between triangles. For a certain ratio between interactions the one-magnon excitation band is dispersionless leading to an existence of localized-magnon states which form macroscopically degenerated ground states. The spectrum of excitations has a specific structure depending on the value of the triangle-triangle interaction. Such specific structure determines the low-temperature thermodynamics and, in particular, the temperature dependence of a specific heat. In the limit of strong anisotropy of interactions the spectrum has a multi-scale structure which consists of subsets rank-ordered on small parameter. Each subset is responsible for the appearance of the peak in the temperature dependence of the specific heat.

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