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Theory on inelastic photon and neutron scattering in two-dimensional quasiperiodic Heisenberg antiferromagnets
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| Title: | Theory on inelastic photon and neutron scattering in two-dimensional quasiperiodic Heisenberg antiferromagnets |
| Other Titles: | ２次元準周期Heisenberg反強磁性体における光子及び中性子の非弾性散乱理論 |
| Authors: | 井上, 天 Browse this author |
| Issue Date: | 23-Mar-2023 |
| Publisher: | Hokkaido University |
| Abstract: | We calculate magnetic Raman scattering for the antiferromagnetic Heisenberg model on a5-fold Penrose lattice and an 8-fold Ammann-Beenker lattice. We derive effective magnetic Raman operators in quasiperiodic lattices from second- and fourth-order perturbations and analyze them using spin-wave theory. Quasicrystals have crystallographically forbidden point group symmetry. Based on group theory, we decompose the Raman spectra into irreducible representations to reveal the origin of each irreducible mode spectrum and its polarization dependence. We incorporate magnon-magnon interactions by means of Green’s function and configuration-interaction schemes and show that the configuration-interaction scheme has great advantages for the quantitative evaluation of multimagnon fluctuations. We also calculate the dynamic structure factor for the Heisenberg antiferromagnets on the Penrose lattice and reveal the magnetic excitation structure. We define a site-resolved dynamic structure factor and map it to the perpendicular space which is characteristic of quasiperiodic systems to investigate the spatial structure of magnetic excitations in detail. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第15271号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 教授 山本 昌司, 教授 根本 幸児, 教授 河本 充司, 講師 大原 潤 |
| Degree Affiliation: | 理学院（物性物理学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/91563 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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