The electronic transport properties of parabolic topological edge states
The broadly studied topological edge states in two-dimensional materials are usually of a linear dispersion relation. However, the transport of non-Dirac topological edge states is rarely studied. Here, we report the finding of topological edge states with a parabolic dispersion. The topological nat...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ada797 |
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| author | Lu Yun Wang |
| author_facet | Lu Yun Wang |
| author_sort | Lu Yun Wang |
| collection | DOAJ |
| description | The broadly studied topological edge states in two-dimensional materials are usually of a linear dispersion relation. However, the transport of non-Dirac topological edge states is rarely studied. Here, we report the finding of topological edge states with a parabolic dispersion. The topological nature of the states is supported by spatial wave function, Chern number calculation and the quantized linear conductance. The parabolic dispersion aspect of the edge states can be verified via a double-barrier junction which acts as a Fabry–Perot interferometer. For the parabolic dispersion edges states, the Fermi energy E dependent resonance peaks spacing δ shows a $\delta\sim\sqrt{E}$ relation. In contrast, for the linear dispersion edges states, δ is a constant. Finally, the transport properties of parabolic topological edge states under Anderson disorder are studied. It is found that under a strong disorder, the quantized conductance is sensitive to the Fermi energy, but unaffected by the sample length. |
| format | Article |
| id | doaj-art-dbe40a7e615046e280b5ff5616782d05 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-dbe40a7e615046e280b5ff5616782d052025-01-29T09:23:12ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127101302210.1088/1367-2630/ada797The electronic transport properties of parabolic topological edge statesLu Yun Wang0Lizhi Academy, Shaanxi University of Technology , Hanzhong 723001, People’s Republic of ChinaThe broadly studied topological edge states in two-dimensional materials are usually of a linear dispersion relation. However, the transport of non-Dirac topological edge states is rarely studied. Here, we report the finding of topological edge states with a parabolic dispersion. The topological nature of the states is supported by spatial wave function, Chern number calculation and the quantized linear conductance. The parabolic dispersion aspect of the edge states can be verified via a double-barrier junction which acts as a Fabry–Perot interferometer. For the parabolic dispersion edges states, the Fermi energy E dependent resonance peaks spacing δ shows a $\delta\sim\sqrt{E}$ relation. In contrast, for the linear dispersion edges states, δ is a constant. Finally, the transport properties of parabolic topological edge states under Anderson disorder are studied. It is found that under a strong disorder, the quantized conductance is sensitive to the Fermi energy, but unaffected by the sample length.https://doi.org/10.1088/1367-2630/ada797topological edge stateselectronic transportAnderson disorder |
| spellingShingle | Lu Yun Wang The electronic transport properties of parabolic topological edge states New Journal of Physics topological edge states electronic transport Anderson disorder |
| title | The electronic transport properties of parabolic topological edge states |
| title_full | The electronic transport properties of parabolic topological edge states |
| title_fullStr | The electronic transport properties of parabolic topological edge states |
| title_full_unstemmed | The electronic transport properties of parabolic topological edge states |
| title_short | The electronic transport properties of parabolic topological edge states |
| title_sort | electronic transport properties of parabolic topological edge states |
| topic | topological edge states electronic transport Anderson disorder |
| url | https://doi.org/10.1088/1367-2630/ada797 |
| work_keys_str_mv | AT luyunwang theelectronictransportpropertiesofparabolictopologicaledgestates AT luyunwang electronictransportpropertiesofparabolictopologicaledgestates |