Applications of Double Group Theory in 2D Materials

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Published: Nov 15, 2023
Keywords:
Group Theory, 2D Materials, Group IV, Group V

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Muhammad Yusuf Hakim Widianto
Institut Teknologi Sepuluh Nopember
Mineo Saito
Institute of Science and Technology, Kanazawa University

Abstract

Group theory is a fundamental mathematical frame- work valuable for analyzing the band structures in materials science. The hexagonal structures have unique electronic struc- tures, especially in 2D materials in group-IV, where the system is observed as the topological insulator. Meanwhile, in the case of group-V, it is semiconductors. This paper analyzes group- IV and group-V band structures based on group theory and proposes a method to identify the irreducible representation (IR) in symmorphic systems. It is found that all materials in group- IV are topological insulators. The evaluation of Z2 invariant v in group-V found that the phosphorene and bismuthene cases are v = 0 and v = 1, respectively, and belong to trivial and topological insulator materials for phosphorene and bismuthene, respectively.

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How to Cite
Widianto, M. Y. H., & Saito, M. (2023). Applications of Double Group Theory in 2D Materials. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 9(2), 60–62. Retrieved from https://journal.its.ac.id/index.php/ijcsam/article/view/4655
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Vol. 9 No. 2 (2023)
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Articles

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