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.

该项目旨在开发并充分理解一类数学模型，描述拓扑绝缘子物理学中具有重要意义的基本相互作用系统。这将包括将精确溶液扩展到更复杂的模型以及拓扑数据分析以检测这些材料和更多一般材料中的拓扑相变的开发和应用。该项目还将采用图解方法来解决解决特定模型的长期挑战。该项目旨在为在数学科学领域的培训研究人员提供贡献，以使下一代电子设备和智能材料的新概念的未来发展。