Nearly semi-elliptic relation between the minimal conductivity and Hall conductivity in unpaired Dirac fermions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908652830457856 |
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| author | Fu, Bo Bai, Kai-Zhi Bi, Shi-Hao Shen, Shun-Qing |
| author_facet | Fu, Bo Bai, Kai-Zhi Bi, Shi-Hao Shen, Shun-Qing |
| contents | Electric conductivities may reveal the topological and magnetic properties of band structures in solids, especially for two-dimensional unpaired Dirac fermions. In this work, we evaluate the longitudinal and Hall conductivity for unpaired Dirac fermions in the framework of the self-consistent Born approximation and find a nearly semi-elliptic relation between the minimal conductivity and Hall conductivities in the Dirac fermions. Near the charge neutrality point, disorder may drive a metal-insulator transition, and enhance the longitudinal conductivity. For the massless case, the minimal conductivity $σ_{xx}^*$ coexists with the half-quantized Hall conductivity $e^2/2h$, forming an indicator for the parity anomalous semimetal. The relation signals a disorder-induced metallic phase that bridges two topologically distinct insulating phases, and agrees with the recent experimental observation in magnetic topological insulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10972 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nearly semi-elliptic relation between the minimal conductivity and Hall conductivity in unpaired Dirac fermions Fu, Bo Bai, Kai-Zhi Bi, Shi-Hao Shen, Shun-Qing Mesoscale and Nanoscale Physics Electric conductivities may reveal the topological and magnetic properties of band structures in solids, especially for two-dimensional unpaired Dirac fermions. In this work, we evaluate the longitudinal and Hall conductivity for unpaired Dirac fermions in the framework of the self-consistent Born approximation and find a nearly semi-elliptic relation between the minimal conductivity and Hall conductivities in the Dirac fermions. Near the charge neutrality point, disorder may drive a metal-insulator transition, and enhance the longitudinal conductivity. For the massless case, the minimal conductivity $σ_{xx}^*$ coexists with the half-quantized Hall conductivity $e^2/2h$, forming an indicator for the parity anomalous semimetal. The relation signals a disorder-induced metallic phase that bridges two topologically distinct insulating phases, and agrees with the recent experimental observation in magnetic topological insulators. |
| title | Nearly semi-elliptic relation between the minimal conductivity and Hall conductivity in unpaired Dirac fermions |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2511.10972 |