cmp-mlの皆様
6月21日(金) 16:00より、物性研究所理論セミナーをハイブリッド形式で開催致します。
”Generation scheme of symmetry-adapted closest Wannier model”というタイトルで、
理研の大岩陸人先生にお話し頂きます。
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forms.gle/6ccnZFNUbmhbsqbV6
講演の詳細は以下をご確認下さい。
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Date : Friday, Jun 21st, 2024
Time: 16:00 – 17:00
Place : On Zoom and Seminar Room 5 (A615), ISSP(Hybrid)
Speaker: Rikuto Oiwa (RIKEN CEMS)
Affiliation: RIKEN CEMS
Title: Generation scheme of symmetry-adapted closest Wannier model
Abstract:
T. Ozaki has recently developed a new method to construct the closest Wannier (CW) orbitals to a given set of localized guiding orbitals [1]. In the CW formalism, the disentanglement of bands is achieved with no iterative calculations, significantly reducing computational costs. In this talk, I will present a generation scheme of the CW model that respects the symmetry of the system by introducing the post-processing symmetrization step based on the symmetry-adapted multipole basis (SAMB) [2]. Since the symmetry properties of the CW orbital and its guiding atomic orbital are equivalent, we can define SAMBs as the complete and orthonormal matrix basis set in the Hilbert space of the CW orbitals. It is shown that the CW Hamiltonian can be expressed as a linear combination of SAMBs belonging to the identity irreducible representation, and the symmetry of the model is fully recovered. We demonstrate how our method works in the case of Nb. We further show an additional usefulness of the present method by modeling the chiral Tellurium crystal. We show that the weight of the electric toroidal quadrupole (Gu) is most dominant and much larger than that of the electric toroidal monopole (G0), and Gu plays an important role in stabilizing the helical structure of Tellurium. The present method is implemented in the open-source Python library, SymClosestWannier [3].
[1] T. Ozaki, arXiv:2306.15296, (2023).
[2] H. Kusunose, RO, and S. Hayami, Phys. Rev. B 107, 195118 (2023).
[3] RO, A. Inda, S. Hayami, T. Nomoto, R. Arita, and H. Kusunose, github.com/CMT-MU/SymClosestWannier
Please also refer to the following URL:
www.issp.u-tokyo.ac.jp/maincontents/seminar/all2.html?ptype=seminar&pid=23453
www.issp.u-tokyo.ac.jp/maincontents/seminar/all2_en.html?ptype=seminar&pid=23453
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東京大学物性研究所
三澤貴宏
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