论文标题
迈向晶格气体的描述,对混合自旋(1,1/2)Heisenberg八面体链的haldane和基于簇的Haldane基态上方的低温特性描述
Towards lattice-gas description of low-temperature properties above the Haldane and cluster-based Haldane ground states of a mixed spin-(1,1/2) Heisenberg octahedral chain
论文作者
论文摘要
先前从有效的混合旋转海森堡链中详细阐述了混合自旋(1,1/2)的富含自旋(1,1/2)的丰富地面相图,该链通过在八面链的正方形岩石上使用局部保护来得出。在这里,我们对该模型的热力学特性进行了全面分析。在高度沮丧的参数区域中,混合旋转海森贝格八面体链的最低能量特征状态属于平坦带,这允许对局部磁通型方法中的低温磁性特性进行精确描述,从而利用了硬核模型的经典lattice lattice lattice lattice lattice lattice-gas。本文提供了局部杂志方法的更全面的版本,该方法将其有效性范围扩展到涉及Haldane和基于群集的Haldane地面状态的较少沮丧的参数区域。 A comparison between results of the developed localized-magnon theory and accurate numerical methods such as full exact diagonalization and finite-temperature Lanczos technique convincingly evidence that the low-temperature magnetic properties above the Haldane and the cluster-based Haldane ground states can be extracted from a classical lattice-gas model of hard-core monomers and dimers, which is additionally supplemented by a hard-core particle spanned over the whole晶格代表haldane阶段的差异。
The rich ground-state phase diagram of the mixed spin-(1,1/2) Heisenberg octahedral chain was previously elaborated from effective mixed-spin Heisenberg chains, which were derived by employing a local conservation of a total spin on square plaquettes of an octahedral chain. Here we present a comprehensive analysis of the thermodynamic properties of this model. In the highly frustrated parameter region the lowest-energy eigenstates of the mixed-spin Heisenberg octahedral chain belong to flat bands, which allow a precise description of low-temperature magnetic properties within the localized-magnon approach exploiting a classical lattice-gas model of hard-core monomers. The present article provides a more comprehensive version of the localized-magnon approach, which extends the range of its validity down to a less frustrated parameter region involving the Haldane and cluster-based Haldane ground states. A comparison between results of the developed localized-magnon theory and accurate numerical methods such as full exact diagonalization and finite-temperature Lanczos technique convincingly evidence that the low-temperature magnetic properties above the Haldane and the cluster-based Haldane ground states can be extracted from a classical lattice-gas model of hard-core monomers and dimers, which is additionally supplemented by a hard-core particle spanned over the whole lattice representing the gapped Haldane phase.