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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ada797 |
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| Summary: | 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. |
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| ISSN: | 1367-2630 |