A supersymmetric study of charge and spin transport in Weyl semimetals under axionic electrodynamic response
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| Formato: | Preprint |
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2026
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| _version_ | 1866910263860527104 |
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| author | Pérez-Pedraza, J. C. Martín-Ruiz, A. Urrutia, L. F. |
| author_facet | Pérez-Pedraza, J. C. Martín-Ruiz, A. Urrutia, L. F. |
| contents | We investigate the charge and spin transport properties of a Weyl semimetal under an external magnetic field using a low-energy effective theory. By performing a chiral transformation, we remove the axial term from the fermionic Lagrangian, while its physical effects are retained through the system's electromagnetic response. This response, derived from integrating out the fermionic degrees of freedom, takes the form of axionic electrodynamics and enters the Dirac equation via minimal coupling. The resulting dynamics separate naturally into magnetic and electric components: the magnetic sector admits a supersymmetric factorization, while the electric part exhibits a PT-supersymmetric structure. Robin boundary conditions are applied to the spinor, setting the energy spectrum and defining exact spinor solutions. We obtain the chiral projections of probability and current densities, exhibiting a chiral imbalance in the material. We show that in the x-direction, only one chirality contributes to the chiral current ($j^x_l = 0$). Spin density and currents where also computed. Our results demonstrate how the interplay between axionic response and supersymmetry governs transport phenomena in our specific setup, offering novel insights into the effective field theory description of Weyl semimetals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27657 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A supersymmetric study of charge and spin transport in Weyl semimetals under axionic electrodynamic response Pérez-Pedraza, J. C. Martín-Ruiz, A. Urrutia, L. F. Mesoscale and Nanoscale Physics High Energy Physics - Theory We investigate the charge and spin transport properties of a Weyl semimetal under an external magnetic field using a low-energy effective theory. By performing a chiral transformation, we remove the axial term from the fermionic Lagrangian, while its physical effects are retained through the system's electromagnetic response. This response, derived from integrating out the fermionic degrees of freedom, takes the form of axionic electrodynamics and enters the Dirac equation via minimal coupling. The resulting dynamics separate naturally into magnetic and electric components: the magnetic sector admits a supersymmetric factorization, while the electric part exhibits a PT-supersymmetric structure. Robin boundary conditions are applied to the spinor, setting the energy spectrum and defining exact spinor solutions. We obtain the chiral projections of probability and current densities, exhibiting a chiral imbalance in the material. We show that in the x-direction, only one chirality contributes to the chiral current ($j^x_l = 0$). Spin density and currents where also computed. Our results demonstrate how the interplay between axionic response and supersymmetry governs transport phenomena in our specific setup, offering novel insights into the effective field theory description of Weyl semimetals. |
| title | A supersymmetric study of charge and spin transport in Weyl semimetals under axionic electrodynamic response |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.27657 |