Glide-Symmetric Z2 Magnetic Topological Crystalline Insulators

Beschreibung

This book presents a comprehensive theory on glide-symmetric topological crystalline insulators. Beginning with developing a theory of topological phase transitions between a topological and trivial phase, it derives a formula for topological invariance in a glide-symmetric topological phase when inversion symmetry is added into a system. It also shows that the addition of inversion symmetry drastically simplifies the formula, providing insights into this topological phase, and proposes potential implementations. Lastly, based on the above results, the author establishes a way to design topological photonic crystals. Allowing readers to gain a comprehensive understanding of the glide-symmetric topological crystalline insulators, the book offers a way to produce such a  topological phase in various physical systems, such as electronic and photonic systems, in the future.
This book presents a comprehensive theory on glide-symmetric topological crystalline insulators. Beginning with developing a theory of topological phase transitions between a topological and trivial phase, it derives a formula for topological invariance in a glide-symmetric topological phase when inversion symmetry is added into a system. It also shows that the addition of inversion symmetry drastically simplifies the formula, providing insights into this topological phase, and proposes potential implementations. Lastly, based on the above results, the author establishes a way to design topological photonic crystals. Allowing readers to gain a comprehensive understanding of the glide-symmetric topological crystalline insulators, the book offers a way to produce such a  topological phase in various physical systems, such as electronic and photonic systems, in the future.
Nominated as an outstanding Ph.D. thesis by the Tokyo Institute of Technology, Japan Summarizes independent theories (such as symmetry-based indicators and K-theory) in one table Offers design guidelines for topological materials and discussions on their use in photonic crystals

Autor*in

Heejae Kim

Themen in »Glide-Symmetric Z2 Magnetic Topological Crystalline Insulators«

Topological Crystalline Insulator Topological Magnetic Photonic Crystal by Glide Symmetry Weyl Semimetal Space-Group Symmetry Symmetry-Based Indicator Higher-Order Topology Berry Phase, Berry Connection and Berry Curvature Topological Invariance by Layer Construction

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