Quantum Critical Dynamics Induced by Topological Zero Modes
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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_ | 1866910101418278912 |
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| author | Komissarov, Ilia Holder, Tobias Queiroz, Raquel |
| author_facet | Komissarov, Ilia Holder, Tobias Queiroz, Raquel |
| contents | We investigate the low-frequency ac transport in the Su-Schrieffer-Heeger (SSH) chain with chiral disorder near the topological delocalization transition. Our key finding is that the formation of hybridized pairs of topological domain wall zero modes leads to the anomalous logarithmic scaling of the ac conductivity $σ(ω) \sim \log ω$ at criticality, and $σ(ω) \sim ω^{2 δ} \log ^2 ω$ away from it. Using the combination of real-space renormalization group analysis and qualitative hybridization arguments, we demonstrate that the form of the scaling of ac conductivity at criticality stems directly from the stretched-exponential ($ψ(x) \sim e^{-s \sqrt{x}}~\,$) spatial decay of zero-mode wavefunctions at the critical point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12233 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Critical Dynamics Induced by Topological Zero Modes Komissarov, Ilia Holder, Tobias Queiroz, Raquel Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks We investigate the low-frequency ac transport in the Su-Schrieffer-Heeger (SSH) chain with chiral disorder near the topological delocalization transition. Our key finding is that the formation of hybridized pairs of topological domain wall zero modes leads to the anomalous logarithmic scaling of the ac conductivity $σ(ω) \sim \log ω$ at criticality, and $σ(ω) \sim ω^{2 δ} \log ^2 ω$ away from it. Using the combination of real-space renormalization group analysis and qualitative hybridization arguments, we demonstrate that the form of the scaling of ac conductivity at criticality stems directly from the stretched-exponential ($ψ(x) \sim e^{-s \sqrt{x}}~\,$) spatial decay of zero-mode wavefunctions at the critical point. |
| title | Quantum Critical Dynamics Induced by Topological Zero Modes |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2502.12233 |