Columnar dimer and plaquette resonating-valence-bond orders in the quantum dimer model.
Columnar dimer and plaquette resonating-valence-bond orders in the quantum dimer model.
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量子二聚体模型中的柱状二聚体和血小板共振价键顺序。
DOI：
10.1103/physrevb.54.12938
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Karl J. Runge
中科院分区：
文献类型：
--
作者：
Pak Wo Leung;King Chuen Chiu;Karl J. Runge
本文研究了Rokhsar和Kivelson提出的量子二聚体模型在尺寸为{ital L}{乘以}{ital L}（其中{ital L}{le}8）的方形晶格上的哈密顿量的对角化性质，该模型具有周期边界条件。柱状有序参数和低洼激发谱的有限尺度研究表明，在零温度相图的任何有限区域都没有二聚体液态的证据。此外，我们发现在{ital V}/{ital J}的负值处，柱状二聚体状态向中间状态转变的证据。这种状态与斑块共振-价键状态一致。这种状态的能隙以{ital L}的幂定律消失。它显示柱状二聚体有序，但在二聚体柱内有紊乱。这种状态一直持续到{ital V}/{ital J}{lt}1，只有当{ital V}/{ital J}=1时，系统才转变为二聚体液态。{版权所有}{ital 1996美国物理学会。}
We study the nature of the ground state of the quantum dimer model proposed by Rokhsar and Kivelson by diagonalizing the Hamiltonian of the model on square lattices of size {ital L}{times}{ital L}, where {ital L}{le}8, with periodic boundary conditions. Finite-size scaling studies of the columnar order parameter and the low lying excitation spectrum show no evidence of a dimer liquid state in any finite region of the zero temperature phase diagram. In addition, we find evidence of a transition from the columnar dimer state to an intermediate state at a negative value of {ital V}/{ital J}. This state is consistent with the plaquette resonating-valence-bond state. The energy gap of this state vanishes as a power law of {ital L}. It exhibits columnar dimer order, but has disorder {ital within} the dimer columns. This state persists up to {ital V}/{ital J}{lt}1, and the system changes to a dimer liquid state only at {ital V}/{ital J}=1. {copyright} {ital 1996 The American Physical Society.}