Persistent Charge and Spin Currents in a Ferromagnetic Hatano-Nelson Ring
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| Format: | Preprint |
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2025
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| _version_ | 1866915777146257408 |
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| author | Karmakar, Sourav Ganguly, Sudin Maiti, Santanu K. |
| author_facet | Karmakar, Sourav Ganguly, Sudin Maiti, Santanu K. |
| contents | We investigate persistent charge and spin currents in a ferromagnetic Hatano-Nelson ring with anti-Hermitian intradimer hopping, where non-reciprocal hopping generates a synthetic magnetic flux and drives a non-Hermitian Aharonov-Bohm effect. The system supports both real and imaginary persistent currents, with ferromagnetic spin splitting enabling all three spin-current components, dictated by the orientation of magnetic moments. The currents are computed using the current operator method within a biorthogonal basis. In parallel, the complex band structure is analyzed to uncover the spectral characteristics. We emphasize how the currents evolve across different topological regimes, and how they are influenced by chemical potential, ferromagnetic ordering, finite size, and disorder. Strikingly, disorder can even amplify spin currents, opening powerful new routes for manipulating spin transport in non-Hermitian systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Persistent Charge and Spin Currents in a Ferromagnetic Hatano-Nelson Ring Karmakar, Sourav Ganguly, Sudin Maiti, Santanu K. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Strongly Correlated Electrons Computational Physics Quantum Physics We investigate persistent charge and spin currents in a ferromagnetic Hatano-Nelson ring with anti-Hermitian intradimer hopping, where non-reciprocal hopping generates a synthetic magnetic flux and drives a non-Hermitian Aharonov-Bohm effect. The system supports both real and imaginary persistent currents, with ferromagnetic spin splitting enabling all three spin-current components, dictated by the orientation of magnetic moments. The currents are computed using the current operator method within a biorthogonal basis. In parallel, the complex band structure is analyzed to uncover the spectral characteristics. We emphasize how the currents evolve across different topological regimes, and how they are influenced by chemical potential, ferromagnetic ordering, finite size, and disorder. Strikingly, disorder can even amplify spin currents, opening powerful new routes for manipulating spin transport in non-Hermitian systems. |
| title | Persistent Charge and Spin Currents in a Ferromagnetic Hatano-Nelson Ring |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Strongly Correlated Electrons Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2509.06109 |