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理解的革命。拓扑绝缘体和金属与传统的拓扑绝缘体和金属的区别在于拓扑不变量而不是序参数，拓扑绝缘体和金属不仅重振了材料科学，而且激发了对冷原子系统和光子器件的追求，并且仍然影响着广泛的前沿理论和实验研究。在该计划中，我们的目标是通过研究传统方法无法解决的新颖多间隙拓扑相，在这个成功故事中建立一个新的篇章。封装了超越单间隙拓扑的范式转变，这种物理学的第一个表现形式最近已经在各种各样的背景下浮出水面，从扭曲的层状石墨烯系统到磁性材料和淬火动力学。间隙依赖的拓扑相位，但也是一个更深层次的框架，承诺之间的关系，新类型的可观察量和量子态距离的新概念的一部分。得益于这一独特的起点，MultiTop提出使用这些当代手柄在非平衡系统、晶体材料和超导结构的背景下探索新的拓扑相。这反过来又使我们能够在这些设置中发现新的物理观测值，重点关注边界效应，缺陷签名和电磁感应响应。最后，我们将通过设计可行的途径来使用从头计算评估和超材料建模进行实验，从而巩固该项目的开创性理论性质的影响。鉴于所提出的主题的多样性，但围绕一个单一的新视角，我们预计我们的计划有很强的潜力，从根本上揭示新的理解。