Topological insulators and free fermions: from Hermitian to non-Hermitian

拓扑绝缘体和自由费米子：从厄米特到非厄米特

• 批准号: DP240100838
• 负责人: Prof Murray Batchelor
• 金额: $ 32.11万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2024
• 资助国家: 澳大利亚
• 起止时间: 2024-01-01 至 2026-12-31
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP240100838
• 关键词: Topological; insulators; free; fermions; Hermitian

This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. The project will also apply diagrammatic methods to address a long-standing challenge in solving a particular model. The project aims to contribute to training researchers in an area of the mathematical sciences of benefit to the future development of new concepts for next-generation electronic devices and smart materials.

该项目旨在开发和充分理解一类数学模型，描述拓扑绝缘体物理学中至关重要的粒子基本相互作用系统。这将包括将精确解扩展到更复杂的模型，以及开发和应用拓扑数据分析来检测这些和更一般材料中的拓扑相变。该项目还将应用图解方法来解决解决特定模型的长期挑战。该项目旨在为培训数学科学领域的研究人员做出贡献，以利于下一代电子设备和智能材料新概念的未来发展。