链间耦合诱导自旋1二聚体固体的量子熔化
Quantum Melting of Spin-1 Dimer Solid Induced by Inter-chain Couplings
摘要：
二聚价键固体自然出现在自旋1/2系统的二分晶格，几何挫折发挥了关键作用，无论是在其稳定性和最终的“熔化”由于量子波动。在这里，我们问这样的二聚固体在自旋1系统的稳定性的问题，以各向异性的正方形晶格与双线性和双二次自旋-自旋相互作用作为一个范例模型。晶格可以被看作是一组自旋为1的耦合链，在链间耦合消失的极限下，已知具有稳定的二聚体相。我们使用密度矩阵重整化群（DMRG）和无限投射纠缠对态（iPEPS）技术，并辅以分析平均场和线性味波理论计算来研究这个模型.虽然后者预测二聚体相保持稳定，直到一个合理的大链间-链内耦合比$r \lesssim 0.6$，DMRG和iPEPS发现，二聚体固体熔化的弱得多的链间耦合不超过$r\lesssim 0.15$。我们发现到磁有序状态的过渡是一阶的，表现为滞后和序参量跳跃，排除了去限制量子临界的情况。在2D自旋-1系统中二聚相的稳定性的明显缺乏表明了熔化二聚体固体的强量子涨落。
英文摘要：
Dimerized valence bond solids appear naturally in spin-1/2 systems on bipartite lattices, with the geometric frustrations playing a key role both in their stability and the eventual `melting' due to quantum fluctuations. Here, we ask the question of the stability of such dimerized solids in spin-1 systems, taking the anisotropic square lattice with bilinear and biquadratic spin-spin interactions as a paradigmatic model. The lattice can be viewed as a set of coupled spin-1 chains, which in the limit of vanishing inter-chain coupling are known to possess a stable dimer phase. We study this model using the density matrix renormalization group (DMRG) and infinite projected entangled-pair states (iPEPS) techniques, supplemented by the analytical mean-field and linear flavor wave theory calculations. While the latter predicts the dimer phase to remain stable up to a reasonably large interchain-to-intrachain coupling ratio $r \lesssim 0.6$, the DMRG and iPEPS find that the dimer solid melts for much weaker interchain coupling not exceeding $r\lesssim 0.15$. We find the transition into a magnetically ordered state to be first order, manifested by a hysteresis and order parameter jump, precluding the deconfined quantum critical scenario. The apparent lack of stability of dimerized phases in 2D spin-1 systems is indicative of strong quantum fluctuations that melt the dimer solid.
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