论文标题

量子二聚体模型,其中包含由旋转1/2表示Heisenberg Antiferromagnets表示的Rokhsar-Kivelson点

Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets

论文作者

Hirose, Yuhei, Oguchi, Akihide, Fukumoto, Yoshiyuki

论文摘要

我们获得了一个量子二聚体模型(QDM),该模型包含一个由钻石式装饰的正方形晶格上的Spin-1/2 Heisenberg Antiferromagnet表示的Rokhsar-Kivelson(RK)点。该晶格具有宏观退化的非磁接地态,相当于方形QDM的希尔伯特空间。然后,通过引入进一步的邻居耦合作为扰动,获得了包含RK点作为二阶有效哈密顿的二阶有效哈密顿量的QDM。我们的模型可以为QDM中谐振价键态实现实现实现的新方法。

We obtain a quantum dimer model (QDM) containing a Rokhsar-Kivelson (RK) point expressed by spin-1/2 Heisenberg antiferromagnets on a diamond-like decorated square lattice. This lattice has macroscopically degenerated nonmagnetic ground states, which are equivalent to the Hilbert space of a square-lattice QDM. Then, a square-lattice QDM containing the RK point as a second-order effective Hamiltonian is obtained by introducing further neighbor couplings as perturbation. Our model can provide a new method for the experimental realization of a resonating valence bond state in the QDM.

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