中心对称受挫磁体中斯格明子的量子失稳
Quantum Destabilization of Skyrmions in Centrosymmetric Frustrated Magnets
AI总结：
用神经网络量子态方法研究自旋量子数s对正方晶格上J1-J2-J3中心对称量子海森堡模型中斯格明子稳定性的作用，揭示量子纵向涨落致其失稳及相关规律。
摘要：
我们使用神经网络量子态方法研究了自旋量子数s在正方晶格上的J1-J2-J3中心对称量子海森堡模型中对斯格明子稳定性的作用。结果表明，从半经典区域过渡到极端量子极限（s = 1/2）时，斯格明子稳定性Q严重退化并最终消失。我们证明这种失稳是由量子纵向涨落驱动的，Q表现为1/s的幂律衰减。此外，我们通过建立斯格明子稳定性、纠缠和局部自旋大小之间的定量对应关系，揭示了这种衰减的微观起源。我们的发现表明，受挫晶格中经典稳健的斯格明子相基本上仅限于高自旋材料，这表明实现稳定的原子尺度拓扑结构至少需要s = 3/2的自旋矩。
英文摘要：
We investigate the role of the spin quantum number $s$ on the stability of skyrmions in a $J_1-J_2-J_3$ centrosymmetric quantum Heisenberg model on a square lattice using the neural network quantum states method. Our results reveal that the skyrmion stability $Q$ is severely degraded when transitioning from the semiclassical regime to the extreme quantum limit ($s=1/2$), where it ultimately vanishes. We demonstrate that this destabilization is driven by quantum longitudinal fluctuations, with $Q$ exhibiting a power-law decay as a function of the reciprocal spin moment $1/s$. Notably, the extreme quantum limit ($s=1/2$) deviates drastically from this scaling behavior, exhibiting distinct physics compared to larger spin moments. Furthermore, we reveal the microscopic origin of this decay by establishing a quantitative correspondence between skyrmion stability, entanglement, and local spin magnitude: as the local second Rényi entropy (an indicator of entanglement) increases and the local spin magnitude is suppressed, the skyrmion stability vanishes linearly. This regime marks a quantum state where the skyrmion number $C$ remains as remanent geometric feature of the spin orientations, yet the skyrmion stability $Q$ vanishes due to the longitudinal suppression of the local spin magnitude. Our findings suggest that classically robust skyrmion phases in frustrated lattices are fundamentally restricted to high-spin materials, indicating that a spin moment must of at least $s = 3/2$ is required for the realization of stable, atomic-scale topological textures.
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