全息超导系统中负折射现象的研究

As an exotic electromagnetic phenomena, the negative refraction has attracted considerable attention for many years. In recent years, the design and application of negative refractive index materials have become hot research topics. On the other hand, as a very important breakthrough in physics, the gauge/gravity duality has revealed the profound correspondence between the gravity theory and the field theory, and provided us new insights into the understanding of the strongly coupled system in condensed matter physics. Since the study of the optical properties of the strongly coupled superconducting systems is of great significance for the application of high-temperature superconducting materials, in this project we will use the gauge/gravity duality to investigate the negative refraction in the three types of superconducting systems, namely, the metal/superconductor phase transition, insulator/superconductor phase transition and Josephson junction, analyze the electromagnetic response functions of s-wave order (the scalar field), p-wave order (the vector field), d-wave order (the tensor field), competition and coexistence of order parameters in different holographic models, obtain the effects of the model parameters and space-time parameters on the electric permittivity, magnetic permeability, Depine-Lakhtakia index relating to the negative refraction and dissipation in the systems, try to give the general feature for the negative refraction in the holographic superconductors and find out the physical essences and laws of some fundamental problems in the intersectional field. Meanwhile the results of this research will give the theoretical support to the experimental observation.

作为一种奇异的电磁现象，负折射一直受到研究者的广泛关注，负折射率材料的设计和应用更是近年来研究的热点。另一方面，作为物理学中极为重要的突破，引力/规范场对偶揭示了场论和引力理论之间深刻的对应关系，为研究凝聚态物理中的强耦合系统提供了新视角。既然强耦合超导系统的光学性质研究对于高温超导材料的应用具有重要意义，本项目将利用引力/规范场对偶研究金属/超导相变、绝缘/超导相变和约瑟夫森结等三类强耦合超导体系的负折射问题，探讨s波（标量场）、p波（矢量场）、d波（张量场）以及多相共存和竞争等不同全息模型中电磁响应函数的行为，获得模型参数和时空参数对系统介电常数、磁导率、反映负折射的Depine-Lakhtakia指数以及耗散的影响，寻求全息超导系统发生负折射的普适规律并探究其物理根源及意义，弄清楚多学科交叉领域中一些基本问题的物理本质和规律，同时为观测提供理论支持。

作为一种奇异的电磁现象，负折射一直受到研究者的广泛关注，负折射率材料的设计和应用更是近年来研究的热点。另一方面，作为物理学中极为重要的突破，引力/规范场对偶揭示了场论和引力理论之间深刻的对应关系，为研究凝聚态物理中的强耦合系统提供了新视角。既然强耦合超导系统的光学性质研究对于高温超导材料的应用具有重要意义，本项目利用引力/规范场对偶构建了金属/超导相变、绝缘/超导相变和约瑟夫森结等三类强耦合超导体系的全息对偶模型，研究了相应体系的负折射问题，探讨了s波（标量场）、p波（矢量场）、d波（张量场）以及多相共存和竞争等不同全息模型中电磁响应函数的行为，获得了模型参数和时空参数对系统介电常数、磁导率、反映负折射的Depine-Lakhtakia指数以及耗散的影响，寻求了全息超导系统发生负折射的普适规律并探究了其物理根源及意义，弄清楚了多学科交叉领域中一些基本问题的物理本质和规律，同时为观测提供了理论支持。

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