Coherent transport in non-Abelian quantum graphs
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914531366666240 |
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| author | Poshakinskiy, A. V. Golub, L. E. |
| author_facet | Poshakinskiy, A. V. Golub, L. E. |
| contents | We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the conductance, which has different periodicities in the diffusive and ballistic regimes. We classify all configurations of magnetic and spin-orbit fields where a logarithmically divergent weak-(anti)localization correction appears in the diffusive regime. The conductivity of topologically distinct configurations is the same in the diffusive regime but different in the ballistic regime. The proposed setup provides a feasible realization of quantum graphs with non-Abelian gauge fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03826 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coherent transport in non-Abelian quantum graphs Poshakinskiy, A. V. Golub, L. E. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Physics We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the conductance, which has different periodicities in the diffusive and ballistic regimes. We classify all configurations of magnetic and spin-orbit fields where a logarithmically divergent weak-(anti)localization correction appears in the diffusive regime. The conductivity of topologically distinct configurations is the same in the diffusive regime but different in the ballistic regime. The proposed setup provides a feasible realization of quantum graphs with non-Abelian gauge fields. |
| title | Coherent transport in non-Abelian quantum graphs |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2605.03826 |