蜂窝晶格上海森堡模型的边缘磁性
Edge magnetism of Heisenberg model on honeycomb lattice
摘要：
在我们以前的研究中，我们发现在蜂窝晶格上的海森堡模型的锯齿形边缘附近存在一个具有线性色散的铁磁振子分支。在这里，我们开发了一个边缘磁振子的场论描述，并发现它的动力学是由一维相对论克莱因-戈登方程。有趣的是，边缘磁振子的边界场论与它的体相对应的理论联系在一起，后者由二维克莱因-戈登方程描述。此外，我们还揭示了宇称对称性如何在蜂窝纳米结构的相对边缘上的倏逝模。通过采用包括Schwinger玻色子和密度矩阵重整化群在内的替代方法，我们还证明了即使在Neel序被量子涨落破坏的情况下，相对论边缘磁振子仍然是鲁棒的。边缘磁振子是未补偿边缘的直接结果，并且可以通过实验探针在实际材料中验证。
英文摘要：
In our previous study, a single-branch of ferromagnetic magnon with linear dispersion is shown to exist near the (uncompensated) zigzag edge for Heisenberg model on honeycomb lattice. Here we develop a field-theory description for the edge magnon and find its dynamics is captured by the one-dimensional relativistic Klein-Gordon equation. It is intriguing that the boundary field theory for the edge magnon is tied up with its bulk counterpart, described by the two-dimensional Klein-Gordon equation. Furthermore, we also reveal how the parity symmetry relates evanescent modes on opposite edges in a honeycomb nanoribbon. By employing alternative methods, including Schwinger bosons and density-matrix renormalization group, we also demonstrate that the relativistic edge magnon is robust even when the Neel order in the bulk is destroyed by quantum fluctuations. The edge magnon is a direct consequence of uncompensated edge and may be verified in realistic materials by experimental probes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
