Quantification of electronic asymmetry: chirality and axiality in solids
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911191371087872 |
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| author | Miki, Tatsuya Ikeda, Hiroaki Suzuki, Michi-To Hoshino, Shintaro |
| author_facet | Miki, Tatsuya Ikeda, Hiroaki Suzuki, Michi-To Hoshino, Shintaro |
| contents | Chiral and axial materials offer platforms for intriguing phenomena, such as cross-correlated responses and chirality-induced spin selectivity. However, quantifying the properties of such materials has generally been considered challenging. Here, we demonstrate that the spatial distribution of the electron chirality, represented by $Ψ^\dagger γ^5 Ψ$ with the four-component Dirac field $Ψ$, characterizes the chirality and axiality of materials. Furthermore, we reveal that spin-derived electric polarization can serve as an effective indicator of material polarity. We present quantitative evaluations of electron chirality distribution and spin-derived electric polarization based on first-principles calculations. Additionally, we propose that electron chirality can be directly observed via circular dichroism in photoemission spectroscopy, which measures the difference between right- and left-handed circularly polarized light. Electron chirality and spin-derived electric polarization provide a new framework for quantifying chirality, axiality, and polarity in asymmetric materials, paving the way for the exploration of novel functional materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantification of electronic asymmetry: chirality and axiality in solids Miki, Tatsuya Ikeda, Hiroaki Suzuki, Michi-To Hoshino, Shintaro Materials Science Chiral and axial materials offer platforms for intriguing phenomena, such as cross-correlated responses and chirality-induced spin selectivity. However, quantifying the properties of such materials has generally been considered challenging. Here, we demonstrate that the spatial distribution of the electron chirality, represented by $Ψ^\dagger γ^5 Ψ$ with the four-component Dirac field $Ψ$, characterizes the chirality and axiality of materials. Furthermore, we reveal that spin-derived electric polarization can serve as an effective indicator of material polarity. We present quantitative evaluations of electron chirality distribution and spin-derived electric polarization based on first-principles calculations. Additionally, we propose that electron chirality can be directly observed via circular dichroism in photoemission spectroscopy, which measures the difference between right- and left-handed circularly polarized light. Electron chirality and spin-derived electric polarization provide a new framework for quantifying chirality, axiality, and polarity in asymmetric materials, paving the way for the exploration of novel functional materials. |
| title | Quantification of electronic asymmetry: chirality and axiality in solids |
| topic | Materials Science |
| url | https://arxiv.org/abs/2410.23549 |