Exact Ground States in Spin Systems with Orbital Degeneracy
Exact Ground States in Spin Systems with Orbital Degeneracy
复制标题
轨道简并自旋系统中的精确基态
DOI：
10.1143/jpsj.68.322
复制
发表时间：
1999
影响因子：
1.7
通讯作者：
K. Itoh
中科院分区：
文献类型：
--
作者：
K. Itoh
我们提出了精确的基态自旋模型与轨道简并在一个和更高的维度。当哈密顿量由两个可交换算符的乘积构成时，提出了一种精确求取模型基态的方法。对于具有二重简并度的自旋1/2模型，给出了一些精确的基态，如价键（VB）态、磁有序态和轨道有序态。我们还发现了具有更高自旋和简并度的模型，它们在自旋和轨道扇区中具有新的VB基态。
We present exact ground states in spin models with orbital degeneracy in one and higher dimensions. A method to obtain the exact ground states of the models when the Hamiltonians are composed of the products of two commutable operators is proposed. For the case of the spin-1/2 model with two-fold degeneracy some exact ground states are given, such as the Valence-Bond (VB), the magnetically ordered, and the orbitally ordered states under particular parameter regimes. We also find models with the higher spin and degeneracy which have the new type VB ground states in the spin and the orbital sectors.