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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2404.13533 |
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| _version_ | 1866911847705214976 |
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| author | Udagawa, Masafumi Nakai, Hiroki Hotta, Chisa |
| author_facet | Udagawa, Masafumi Nakai, Hiroki Hotta, Chisa |
| contents | Pinch point is a spectral discontinuity found in the neutron diffraction image of spin ice. Similar spectral singularity is commonly observed in a broad range of systems that have a close connection with flat bands. We focus on the electron flat band and its two topologically distinct classes of wavefunction: the compact localized state (CLS), and the non-contractible loop state (NLS). We establish their simple mathematical relationship, showing that different Bloch NLSs can be derived as momentum derivatives of a Bloch CLS, depending on the approaching direction toward the singular point. This CLS-NLS correspondence helps visualize the pinch point as an interference pattern among NLSs through a ``polarizer", which encodes the information about the location of singular momentum and the experimental techniques like spin-polarized photoemission spectroscopy. It helps extract topological information knit to microscopic electronic and magnetic structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13533 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pinch-point spectral singularity from the interference of topological loop states Udagawa, Masafumi Nakai, Hiroki Hotta, Chisa Materials Science Pinch point is a spectral discontinuity found in the neutron diffraction image of spin ice. Similar spectral singularity is commonly observed in a broad range of systems that have a close connection with flat bands. We focus on the electron flat band and its two topologically distinct classes of wavefunction: the compact localized state (CLS), and the non-contractible loop state (NLS). We establish their simple mathematical relationship, showing that different Bloch NLSs can be derived as momentum derivatives of a Bloch CLS, depending on the approaching direction toward the singular point. This CLS-NLS correspondence helps visualize the pinch point as an interference pattern among NLSs through a ``polarizer", which encodes the information about the location of singular momentum and the experimental techniques like spin-polarized photoemission spectroscopy. It helps extract topological information knit to microscopic electronic and magnetic structures. |
| title | Pinch-point spectral singularity from the interference of topological loop states |
| topic | Materials Science |
| url | https://arxiv.org/abs/2404.13533 |