Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes
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| Main Authors: | , , , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917796753965056 |
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| author | Kaur, Simrandeep Chanda, Tanima Amin, Kazi Rafsanjani Sahani, Divya Watanabe, Kenji Taniguchi, Takashi Ghorai, Unmesh Gefen, Yuval Sreejith, G. J. Bid, Aveek |
| author_facet | Kaur, Simrandeep Chanda, Tanima Amin, Kazi Rafsanjani Sahani, Divya Watanabe, Kenji Taniguchi, Takashi Ghorai, Unmesh Gefen, Yuval Sreejith, G. J. Bid, Aveek |
| contents | Fractional quantum Hall (FQH) phases emerge due to strong electronic interactions and are characterized by anyonic quasiparticles, each distinguished by unique topological parameters, fractional charge, and statistics. In contrast, the integer quantum Hall (IQH) effects can be understood from the band topology of non-interacting electrons. We report a surprising super-universality of the critical behavior across all FQH and IQH transitions. Contrary to the anticipated state-dependent critical exponents, our findings reveal the same critical scaling exponent $κ= 0.41 \pm 0.02$ and localization length exponent $γ= 2.4 \pm 0.2$ for fractional and integer quantum Hall transitions. From these, we extract the value of the dynamical exponent $z\approx 1$. We have achieved this in ultra-high mobility trilayer graphene devices with a metallic screening layer close to the conduction channels. The observation of these global critical exponents across various quantum Hall phase transitions was masked in previous studies by significant sample-to-sample variation in the measured values of $κ$ in conventional semiconductor heterostructures, where long-range correlated disorder dominates. We show that the robust scaling exponents are valid in the limit of short-range disorder correlations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_06194 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes Kaur, Simrandeep Chanda, Tanima Amin, Kazi Rafsanjani Sahani, Divya Watanabe, Kenji Taniguchi, Takashi Ghorai, Unmesh Gefen, Yuval Sreejith, G. J. Bid, Aveek Mesoscale and Nanoscale Physics Strongly Correlated Electrons Fractional quantum Hall (FQH) phases emerge due to strong electronic interactions and are characterized by anyonic quasiparticles, each distinguished by unique topological parameters, fractional charge, and statistics. In contrast, the integer quantum Hall (IQH) effects can be understood from the band topology of non-interacting electrons. We report a surprising super-universality of the critical behavior across all FQH and IQH transitions. Contrary to the anticipated state-dependent critical exponents, our findings reveal the same critical scaling exponent $κ= 0.41 \pm 0.02$ and localization length exponent $γ= 2.4 \pm 0.2$ for fractional and integer quantum Hall transitions. From these, we extract the value of the dynamical exponent $z\approx 1$. We have achieved this in ultra-high mobility trilayer graphene devices with a metallic screening layer close to the conduction channels. The observation of these global critical exponents across various quantum Hall phase transitions was masked in previous studies by significant sample-to-sample variation in the measured values of $κ$ in conventional semiconductor heterostructures, where long-range correlated disorder dominates. We show that the robust scaling exponents are valid in the limit of short-range disorder correlations. |
| title | Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2312.06194 |