Topological order in quantum materials

量子材料中的拓扑序

• 批准号: 355158-2013
• 负责人: Burkov, Anton
• 金额: $ 1.82万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=572548
• 关键词: Topological; order; quantum; materials

The goal of condensed matter physics is to discover and describe new states of macroscopic matter. The traditional classification of phases of matter is largely based on the idea of broken symmetry: for example crystalline order of atoms in solids breaks translational symmetry of empty space and macroscopic magnetization in ferromagnets breaks rotational symmetry of space. In recent years a new paradigm for classification of phases has been emerging, which emphasizes topological (meaning insensitive to smooth changes in material parameters) properties of the electronic structure of materials, rather than broken symmetries. In this proposal I will outline a research program, aimed towards developing a complete theoretical understanding of the physics of quantum materials with nontrivial topological properties of the electronic structure. The focus of the proposal will be on materials, which are not insulators, and yet possess topologically-nontrivial electronic structure.

凝聚态物理学的目标是发现和描述宏观物质的新状态。 物质相的传统分类主要是基于对称性破缺的概念：例如，固体中原子的结晶顺序打破了空空间的平移对称性，铁磁体中的宏观磁化打破了空间的旋转对称性。近年来出现了一种新的相分类范式，它强调材料电子结构的拓扑性质（对材料参数的平滑变化不敏感），而不是对称性的破坏。在这个建议中，我将概述一个研究计划，旨在发展一个完整的理论理解量子材料的物理与非平凡的电子结构的拓扑性质。该提案的重点将是材料，这不是绝缘体，但拥有拓扑非平凡的电子结构。