AI 中文总结
研究二维准晶晶格中磁性斯格明子，利用含特定相互作用和外场的经典海森堡模型，通过斯格明子间排斥与准周期钉扎势竞争，实现对拓扑电荷和规范场的控制，可场控调节霍尔电导率，为准晶磁体用于磁存储等提供可能。
AI 中文摘要
我们使用具有Dzyaloshinskii-Moriya相互作用和外磁场的经典海森堡模型研究二维准晶晶格中的磁性斯格明子。斯格明子间排斥与准周期钉扎势之间的竞争导致一系列不同的斯格明子晶格构型。准周期钉扎势的层次结构使得接近饱和场时斯格明子密度能准连续抑制。这为控制拓扑电荷及巡游电子的规范场提供机制，可通过小磁场变化大幅改变霍尔电导率并使其在饱和附近平滑归零。这种基于多稳定性的场控可调性表明准晶磁体是可调拓扑纹理的平台，在磁存储和磁电响应中有潜在应用。
英文摘要
We study magnetic skyrmions in a two-dimensional quasicrystalline lattice using a classical Heisenberg model with Dzyaloshinskii-Moriya interactions and an external magnetic field. The competition between the skyrmion-skyrmion repulsion and an emergent quasiperiodic pinning landscape gives rise to a sequence of distinct skyrmion lattice configurations as a function of field. The resulting hierarchy of quasiperiodic pinning potentials, characterized by closely spaced quasi-degenerate minima, enables a quasi-continuous suppression of the skyrmion density as the saturation field is approached, in sharp contrast to the strongly first-order collapse of skyrmion crystals on periodic lattices. This provides a direct mechanism for controlling the topological charge and, consequently, the emergent gauge field for itinerant electrons. As a consequence, the Hall conductivity can be strongly modified with small changes in the magnetic field and driven smoothly to zero near saturation. This field-controlled tunability, rooted in the underlying multistability, identifies quasicrystalline magnets as a platform for tunable topological textures, with potential applications in magnetic memory and magnetoelectronic response.
Comments13+3 pages, 11+3 figures
