Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917249856569344 |
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| author | Matthaiakakis, Ioannis Jia, Weizhen Klees, Raffael L. Fernández, David Rodríguez Xian, Zhuo-Yu Meyer, René Erdmenger, Johanna Hankiewicz, Ewelina M. |
| author_facet | Matthaiakakis, Ioannis Jia, Weizhen Klees, Raffael L. Fernández, David Rodríguez Xian, Zhuo-Yu Meyer, René Erdmenger, Johanna Hankiewicz, Ewelina M. |
| contents | This work focuses on the non-dissipative, parity-odd spin transport of $(2+1)$-dimensional relativistic electrons, generated by torsion, and the torsional Hall viscosity $ζ_{\rm H}$. We first determine $ζ_{\rm H}$ for massive Dirac fermions in the presence of a constant electromagnetic field. We predict that the magnetic field induces a contribution to $ζ_{\rm H}$ competing with the one originating from the Dirac mass. Moreover, we quantify the impact on $ζ_{\rm H}$ originating from the band structure deformation quadratic in momentum terms that was proposed by Bernevig-Hughes-Zhang (BHZ). We find that the BHZ deformation substantially enhances $ζ_{\rm H}$ in magnitude as measured in a domain wall configuration, when compared to the free Dirac fermion result. Nevertheless, the torsional Hall viscosity still discriminates between topologically trivial and non-trivial regimes. Our results, hence, pave the way for a deeper understanding of hydrodynamic spin transport and its possible verification in experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations Matthaiakakis, Ioannis Jia, Weizhen Klees, Raffael L. Fernández, David Rodríguez Xian, Zhuo-Yu Meyer, René Erdmenger, Johanna Hankiewicz, Ewelina M. Mesoscale and Nanoscale Physics High Energy Physics - Theory This work focuses on the non-dissipative, parity-odd spin transport of $(2+1)$-dimensional relativistic electrons, generated by torsion, and the torsional Hall viscosity $ζ_{\rm H}$. We first determine $ζ_{\rm H}$ for massive Dirac fermions in the presence of a constant electromagnetic field. We predict that the magnetic field induces a contribution to $ζ_{\rm H}$ competing with the one originating from the Dirac mass. Moreover, we quantify the impact on $ζ_{\rm H}$ originating from the band structure deformation quadratic in momentum terms that was proposed by Bernevig-Hughes-Zhang (BHZ). We find that the BHZ deformation substantially enhances $ζ_{\rm H}$ in magnitude as measured in a domain wall configuration, when compared to the free Dirac fermion result. Nevertheless, the torsional Hall viscosity still discriminates between topologically trivial and non-trivial regimes. Our results, hence, pave the way for a deeper understanding of hydrodynamic spin transport and its possible verification in experiments. |
| title | Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.13250 |