多孔石墨烯中的涌现量子几何相位
Emergent Quantum Geometric Phases in Holey Graphene
- Universidad de Salamanca（萨拉曼卡大学）
- Instituto de Estructura de la Materia IEM-CSIC（西班牙国家研究委员会物质结构研究所）
- Universidad Complutense（马德里康普顿斯大学）
- National Institute for Materials Science（国立材料科学研究所）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
本研究通过纳米图案化反点阵列在单层石墨烯中实现并测量了量子几何相位，无需扭转或多层堆叠即可产生类莫尔电子谱，为莫尔物理提供了可调、可扩展的实空间设计平台。
中文摘要 AI 辅助
在石墨烯和其他二维材料中，电子密度的周期性调制可以显著改变能谱和输运性质。在此，我们报道了在超高质量周期性图案化反点阵列的封装单层石墨烯中的磁输运测量，该阵列保留了材料的本征电子性质。这种光刻定义平台能够在难以达到的长度尺度上可控地访问可公度性和超晶格现象。通过系统地调节晶格尺寸，我们揭示了由具有相当半径的回旋轨道遵循多条经典轨迹所产生的经典可公度性特征的层级结构，导致超出传统单轨道图像的加宽电阻峰。在这些特征之上，我们观察到显著的Brown-Zak振荡，其源于磁通量子与工程布拉维晶格晶胞之间的量子可公度性。我们证明了系统的本征几何相位可直接测量，并展示了磁场周期性与光刻周期性图案的精确匹配，其中类莫尔电子谱可以在单层石墨烯中无需扭转、晶格失配或多层堆叠即可几何生成。我们的结果确立了纳米图案化石墨烯作为一个清洁、可调且可扩展的平台，通过按需实空间设计实现和探索莫尔物理。
英文摘要
In graphene and other two-dimensional materials, periodic modulations of the electron density can significantly alter the energy spectrum and transport properties. Here, we report magnetotransport measurements in encapsulated monolayer graphene with ultra-high-quality patterned periodic antidot lattices that preserve the intrinsic electronic properties of the material. This lithographically defined platform enables controlled access to commensurability and superlattice phenomena at length scales otherwise difficult to achieve. By systematically tuning the lattice dimensions, we reveal a hierarchy of classical commensurability features arising from cyclotron orbits with comparable radii that follow multiple classical trajectories, resulting in broadened resistance peaks beyond the conventional single-orbit picture. Superimposed on these features, we observe pronounced Brown-Zak oscillations arising from the quantum commensurability between the magnetic flux quantum and the unit cell of the engineered Bravais lattices. We demonstrate that the intrinsic geometric phase of our system is directly measurable and show a precise matching of the magnetic field periodicity to the lithographic periodic patterning, where moiré-like electronic spectra can be geometrically generated in single-layer graphene without the need for twist, lattice mismatch, or multilayer stacking. Our results establish nanopatterned graphene as a clean, tunable, and scalable platform for realizing and exploring moiré physics through on-demand real-space design
