Symmetric localization of $ν_{\text{tot}}=4/3$ fractional topological insulator edges
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| Format: | Preprint |
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2026
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| _version_ | 1866908877636763648 |
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| author | Chou, Yang-Zhi Sarma, Sankar Das |
| author_facet | Chou, Yang-Zhi Sarma, Sankar Das |
| contents | Motivated by the recent twisted MoTe$_2$ experiment [arXiv:2601.18508], we develop a disordered interacting edge theory of a fractional topological insulator at $ν_{\text{tot}}=4/3$, consisting of two time-reversal-conjugated $ν=2/3$ fractional quantum Hall states. For an $S_z$-conserving edge, we uncover three distinct phases with two possible conductance values per edge in the long-edge limit: $\frac{2}{3}\frac{e^2}{h}$ and $\frac{4}{3}\frac{e^2}{h}$. In the presence of $S_z$-changing perturbations (e.g., Rashba spin-orbit coupling), an interaction-induced insulating edge state can emerge without breaking time-reversal or charge-conservation symmetry, corresponding to the absence of a topologically protected edge state. We further provide an exact mapping to a noninteracting fermionic theory exhibiting Anderson localization. Our results showcase an explicit, experimentally relevant example that the edge-state two-terminal transport is insufficient to identify the $ν_{\text{tot}}=4/3$ fractional topological insulators. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_10103 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric localization of $ν_{\text{tot}}=4/3$ fractional topological insulator edges Chou, Yang-Zhi Sarma, Sankar Das Strongly Correlated Electrons Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Motivated by the recent twisted MoTe$_2$ experiment [arXiv:2601.18508], we develop a disordered interacting edge theory of a fractional topological insulator at $ν_{\text{tot}}=4/3$, consisting of two time-reversal-conjugated $ν=2/3$ fractional quantum Hall states. For an $S_z$-conserving edge, we uncover three distinct phases with two possible conductance values per edge in the long-edge limit: $\frac{2}{3}\frac{e^2}{h}$ and $\frac{4}{3}\frac{e^2}{h}$. In the presence of $S_z$-changing perturbations (e.g., Rashba spin-orbit coupling), an interaction-induced insulating edge state can emerge without breaking time-reversal or charge-conservation symmetry, corresponding to the absence of a topologically protected edge state. We further provide an exact mapping to a noninteracting fermionic theory exhibiting Anderson localization. Our results showcase an explicit, experimentally relevant example that the edge-state two-terminal transport is insufficient to identify the $ν_{\text{tot}}=4/3$ fractional topological insulators. |
| title | Symmetric localization of $ν_{\text{tot}}=4/3$ fractional topological insulator edges |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.10103 |