AI 中文总结
研究棋盘格晶格上共振价键态，推导相关哈密顿量。通过单重态-单重态及二聚体-二聚体关联衰减特性，发现无序诱导热序机制，热退相干抑制量子干涉，产生准长程有序混合态。
AI 中文摘要
我们推导了一个在棋盘格晶格上具有共振价键基态的局部自旋-1/2哈密顿量。该状态的特征是单重态-单重态关联呈指数衰减，而在相应的量子二聚体模型中，二聚体-二聚体关联呈幂律衰减。这一观察结果导致了一种新颖的无序诱导热序机制，即热退相干抑制了基态中不同关联贡献之间的破坏性量子干涉，并导致了一种性质不同的准长程有序混合态。
英文摘要
We derive a local spin-1/2 Hamiltonian with a resonating valence bond ground state on the checkerboard lattice. The state is characterized by the exponential decay of singlet-singlet correlations, whereas dimer-dimer correlations decay with a power law in the corresponding Quantum Dimer model. This observation leads to a novel mechanism for thermal Order by Disorder whereby thermal decoherence suppresses destructive quantum interference between different contributions to the correlations in the ground state and results in a qualitatively different, quasi-long-range ordered mixed state.
Comments10 pages, including 6 pages of Supplementary Materials
