Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions

Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions
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具有额外各向同性三体交换相互作用的交替自旋海森堡链的相图

DOI:
10.1140/epjb/e2014-50423-7
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发表时间:
2014
期刊:
The European Physical Journal B
影响因子:
--
通讯作者:
J. Schnack
J. Schnack
中科院分区:
--
文献类型:
--
作者:
N. Ivanov;J. Ummethum;J. Schnack

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目前,各向同性的三体交换相互作用很少被探索,并且主要被用作构建各种精确可解的一维模型的工具,尽管一般来说,在一般的海森堡自旋系统中,这些竞争项可以被期望支持特定的量子效应和相位。由S = 1和σ= 1/2的自旋构成的海森堡链定义了一个允许额外三体交换项的现实原型模型。基于数值密度矩阵重整化群(DMRG)和精确对角化(艾德)计算,我们证明了附加的各向同性三体项可以稳定多种部分极化态以及两种特定的非磁性态,包括由两种高斯共形理论控制的临界自旋液相以及由主导四极S自旋涨落表征的临界向列相.大多数已建立的影响是有关的三体相互作用的一些具体功能,如促进本地共线自旋配置和增强的倾向,对最近邻的自旋集群。可以预期的是,大部分预测的各向同性三体相互作用的影响,坚持在更高的空间维度。
For the time being isotropic three-body exchange interactions are scarcely explored and mostly used as a tool for constructing various exactly solvable one-dimensional models, although, generally speaking, such competing terms in generic Heisenberg spin systems can be expected to support specific quantum effects and phases. The Heisenberg chain constructed from alternatingS= 1 andσ= 1/2 site spins defines a realistic prototype model admitting extra three-body exchange terms. Based on numerical density-matrix renormalization group (DMRG) and exact diagonalization (ED) calculations, we demonstrate that the additional isotropic three-body terms stabilize a variety of partially-polarized states as well as two specific non-magnetic states including a critical spin-liquid phase controlled by two Gaussinal conformal theories as well as a critical nematic-like phase characterized by dominant quadrupolarS-spin fluctuations. Most of the established effects are related to some specific features of the three-body interaction such as the promotion of local collinear spin configurations and the enhanced tendency towards nearest-neighbor clustering of the spins. It may be expected that most of the predicted effects of the isotropic three-body interaction persist in higher space dimensions.
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