Catalogue of topological electronic materials

量子物理学・ナノサイエンス第63回特別セミナー

概要

“Ten-fold way” table[1] tells us that different spatial dimensions and symmetries correspond to different topological classes. However, this table only contains time-reversal symmetry, particle-hole symmetry and chiral symmetries, but not a crystalline symmetry. Discoveries for topological insulators[2], topological crystalline insulators[3], and high-order topological insulators[4] make people realize that crystalline symmetries can bring new topological states and the diversity of symmetry-protected topological states in materials. Thus classification of topological states for the variety of crystalline symmetries becomes a vital issue.

In my talk, I will introduce a series of theoretical tools, such as compatibility relation[5], symmetry-based indicator[6], and indicator formulas[7-9], which can help us to diagnose various topological states by considering time-reversal symmetry and crystalline symmetries. After that, I will show you how to use those theoretical tools to perform a high-throughput calculation[10].

• [1] Chiu, et al. Reviews of Modern Physics, 88, 035005 (2016).
• [2] Zhang et al. Nature Physics, 5, 438 (2009).
• [3] Hsieh, et al. Nature Communications 3, 982 (2012).
• [4] Schindler, et al. Science Advances 4, eaat0346 (2018).
• [5] Bradlyn et al, Nature 547, 298 (2017).
• [6] Po et al, Nature Communications 8, 50 (2017).
[7] Zhida Song, Tiantian Zhang et al. Nature Communications 9, 3530 (2018).
• [8] Zhida Song, Tiantian Zhang et al. Physical Review X 8, 031069 (2018).
• [9] Khalaf, et al. Phys. Rev. X 8, 031070 (2018).
• [10] Zhang, et al. Nature 566, 475 (2019).

• 量子物理学・ナノサイエンス第63回特別セミナー

• 量子物理学・ナノサイエンス先端研究センター 主催
• 東京工業大学理学院・物理学系 共催