层状材料中的多样量子化现象
Diverse quantization phenomena in layered materials
摘要：
在二维凝聚态系统中的各种量子化现象，是由于一个均匀的垂直磁场和几何创建的晶格对称性，是这本书的重点。它们涵盖了多样化的磁电性质、各种磁光选择规则、不寻常的量子霍尔电导率以及单粒子和多粒子磁库仑激发。在具有不同堆叠结构、堆叠调制结构和硅掺杂晶格的少层石墨烯系统、具有底-顶和底-底屈曲结构的双层硅烯/锗烯系统、单层和双层磷烯系统以及量子拓扑绝缘体中，都清晰地揭示了这些丰富而独特的行为。我们发展/修正了广义紧束缚模型、静态和动态Kubo公式以及随机相位近似，以深入探索基本性质并提出简洁的物理图像。详细讨论了不同的高分辨率实验测量，它们与理论预测一致。
英文摘要：
The diverse quantization phenomena in 2D condensed-matter systems, being due to a uniform perpendicular magnetic field and the geometry-created lattice symmetries, are the focuses of this book. They cover the diversified magneto-electronic properties, the various magneto-optical selection rules, the unusual quantum Hall conductivities, and the single- and many-particle magneto-Coulomb excitations. The rich and unique behaviors are clearly revealed in few-layer graphene systems with the distinct stacking configurations, the stacking-modulated structures, and the silicon-doped lattices, bilayer silicene/germanene systems with the bottom-top and bottom-bottom buckling structures, monolayer and bilayer phosphorene systems, and quantum topological insulators. The generalized tight-binding model, the static and dynamic Kubo formulas, and the random-phase approximation, are developed/modified to thoroughly explore the fundamental properties and propose the concise physical pictures. The different high-resolution experimental measurements are discussed in detail, and they are consistent with the theoretical predictions.
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