Multi-gap topological physics: from a new geometric perspective to materials

多间隙拓扑物理：从新的几何视角看材料

• 批准号: EP/X025829/1
• 负责人: Robert-Jan Slager
• 金额: $ 164.58万
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FX025829%2F1
• 关键词: Multi; gap; topological; physics; new

The discovery of topological materials has sparked a revolution in our understanding of matter. Distinguished from their conventional counterparts by topological invariants rather than order parameters, topological insulators and metals have not only reinvigorated materials science but also inspired pursuits in for example cold-atom systems and photonic devices, and still affect a broad range of cutting edge theoretical and experimental research. Within this programme, we aim to establish a new chapter in this success story by investigating novel multi-gap topological phases that cannot be addressed by conventional approaches. Encapsulating a paradigm shift beyond single-gap topology, the first manifestations of this physics have recently been surfacing in a variety of contexts ranging from twisted layered graphene systems to magnetic materials and quench dynamics.A central element of our approach relies on utilising a geometrical methodology that cannot only parametrise and characterise uncharted kinds of multi-gap dependent topological phases but is also part of a deeper framework that promises relations between new kinds of observable quantities and novel notions of quantum state distance. Profiting from this unique starting point, MultiTop proposes to use these contemporary handles to explore new topological phases in the contexts of out-of-equilibrium systems, crystalline materials and superconducting structures. This will in turn allow us to uncover new physical observables in these settings upon focussing on boundary effects, defect signatures and electromagnetically induced responses. Finally, we will underpin the impact of the pioneering theoretical nature of the project by designing viable pathways to experiment using ab-initio evaluations and metamaterial modelling. Given the variety of proposed subjects, yet centred around a single new perspective, we anticipate that our programme has a strong potential to uncover fundamentally novel understanding.

拓扑材料的发现引发了我们对物质的理解。拓扑参数和金属不仅具有拓扑参数而不是传统的对应物，拓扑绝缘子和金属不仅具有重新启动的材料科学，而且还激发了启发的追求，例如冷原子系统和光子设备，并且仍然会影响广泛的最先进的理论和实验性研究。在该计划中，我们旨在通过调查传统方法无法解决的新型多间隙拓扑阶段来建立这个成功故事中的新章节。 Encapsulating a paradigm shift beyond single-gap topology, the first manifestations of this physics have recently been surfacing in a variety of contexts ranging from twisted layered graphene systems to magnetic materials and quench dynamics.A central element of our approach relies on utilising a geometrical methodology that cannot only parametrise and characterise uncharted kinds of multi-gap dependent topological phases but is also part of a deeper framework that promises relations在新型可观察数量和量子状态距离的新颖概念之间。从这个独特的起点中获利，Multitop提议使用这些当代手柄在不平衡系统，结晶材料和超导结构的背景下探索新的拓扑阶段。反过来，这将使我们能够在这些设置中发现新的物理可观察物，重点关注边界效应，缺陷特征和电磁诱导的响应。最后，我们将通过为使用AB-Initio评估和超材料建模设计可行的实验途径来支持该项目的开创性理论性质的影响。鉴于提出的主题多种多样，但以一种新的新观点为中心，我们预计我们的计划具有根本上新颖的理解的强大潜力。