Geometric Origin of Phonon Magnetic Moment in Dirac Materials
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908364232982528 |
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| author | Chen, Wenqin Zhang, Xiao-Wei Cao, Ting Lin, Shi-Zeng Xiao, Di |
| author_facet | Chen, Wenqin Zhang, Xiao-Wei Cao, Ting Lin, Shi-Zeng Xiao, Di |
| contents | We develop a theory for the phonon magnetic moment in doped Dirac materials, treating phonons as emergent gauge and gravitational fields coupled to Dirac fermions in curved space. By classifying electron-phonon coupling into angular momentum channels of Fermi surface deformation, we show that the phonon moment arises from two mechanisms: proportional to the electron Hall conductivity through the emergent gauge field coupling, and to the Hall viscosity through the frame field coupling. Applying our theory to Cd$_3$As$_2$ with first-principles calculations, we find quantitative agreement with experiment. Our results reveal a general mechanism for dynamically generating large phonon magnetism in metals and suggest a new route for probing Hall viscosity via phonon dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09732 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Origin of Phonon Magnetic Moment in Dirac Materials Chen, Wenqin Zhang, Xiao-Wei Cao, Ting Lin, Shi-Zeng Xiao, Di Materials Science Mesoscale and Nanoscale Physics We develop a theory for the phonon magnetic moment in doped Dirac materials, treating phonons as emergent gauge and gravitational fields coupled to Dirac fermions in curved space. By classifying electron-phonon coupling into angular momentum channels of Fermi surface deformation, we show that the phonon moment arises from two mechanisms: proportional to the electron Hall conductivity through the emergent gauge field coupling, and to the Hall viscosity through the frame field coupling. Applying our theory to Cd$_3$As$_2$ with first-principles calculations, we find quantitative agreement with experiment. Our results reveal a general mechanism for dynamically generating large phonon magnetism in metals and suggest a new route for probing Hall viscosity via phonon dynamics. |
| title | Geometric Origin of Phonon Magnetic Moment in Dirac Materials |
| topic | Materials Science Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2505.09732 |