论文标题
在沮丧的Ising磁性中，由量子域壁诱导的不一致相的量子三临界性
Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism
论文作者
论文摘要
在许多密切相关的系统中，不可通信性起着至关重要的作用。在某些情况下，理论上可以在1D线样拓扑激发的框架中理解这种异国情调的秩序的起源，称为``量子弦''。在这里，我们研究了三角形晶格上的扩展横向域模型。使用大型量子蒙特卡洛模拟，我们发现空间各向异性可以从相应的时钟顺序中稳定不相称的阶段。我们对结构因子和弦密度的结果表现出不稳定的有序波矢量与量子字符串密度之间的线性关系，量子字符串的密度使人联想到未掺杂的库酸酯超导体中的孔密度。在引入下一步最邻居的相互作用时，我们会观察到一个量子三智度指向不相称的阶段。在仔细分析了不同弦拓扑扇区内的基态能量之后，我们得出的结论是，这种三个临界性是由于有效的远程间相互作用而非不同的衰减行为，这是由于有效的长距离弦上的相互作用而引起的。
Incommensurability plays a critical role in many strongly correlated systems. In some cases, the origin of such exotic order can be theoretically understood in the framework of 1d line-like topological excitations known as ``quantum strings''. Here we study an extended transverse field Ising model on a triangular lattice. Using the large scale quantum Monte Carlo simulations, we find that the spatial anisotropy can stabilize an incommensurate phase out of the commensurate clock order. Our results for the structure factor and the string density exhibit a linear relationship between incommensurate ordering wave vector and the density of quantum strings, which is reminiscent of hole density in under-doped cuprate superconductors. When introducing the next-nearest-neighbor interaction, we observe a quantum tricritical point out of the incommensurate phase. After carefully analyzing the ground state energies within different string topological sectors, we conclude that this tricriticality is non-trivially caused by effective long-range inter-string interactions with two competing terms following different decaying behaviors.
