Exact ground-state correlation functions of one-dimensional strongly correlated electron models with resonating-valence-bond ground state
Exact ground-state correlation functions of one-dimensional strongly correlated electron models with resonating-valence-bond ground state
复制标题
具有共振价键基态的一维强相关电子模型的精确基态相关函数
DOI：
10.1007/bf02174131
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发表时间：
1995
影响因子：
1.6
通讯作者：
M. Kohmoto
中科院分区：
文献类型：
--
作者：
M. Yamanaka;Shinsuke Honjo;Y. Hatsugai;M. Kohmoto
我们研究以共振价键态作为精确基态的一维强相关电子模型。使用价键态几何表示的传递矩阵方法精确评估相关函数。在这种方法中，我们只处理小维度的矩阵。这使我们能够给出分析结果。结果表明，相关函数随距离呈指数衰减。结果表明存在有限的激发间隙，并且基态是绝缘的。由于相应的非相互作用系统可能是绝缘的或金属的，我们可以说间隙源于强相关性。还对当前模型的持续电流进行了研究，发现其完全消失。
We investigate one-dimensional strongly correlated electron models which have the resonating-valence-bond state as the exact ground state. The correlation functions are evaluated exactly using the transfer matrix method for the geometric representations of the valence-bond states. In this method, we only treat matrices with small dimensions. This enables us to give analytical results. It is shown that the correlation functions decay exponentially with distance. The result suggests that there is a finite excitation gap, and that the ground state is insulating. Since the corresponding noninteracting systems may be insulating or metallic, we can say that the gap originates from strong correlation. The persistent currents of the present models are also investigated and found to be exactly vanishing.