Topological Thermal Hall Conductance of Even Denominator Fractional States
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914893306789888 |
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| author | Paul, Arup Kumar Tiwari, Priya Melcer, Ron Umansky, Vladimir Heiblum, Moty |
| author_facet | Paul, Arup Kumar Tiwari, Priya Melcer, Ron Umansky, Vladimir Heiblum, Moty |
| contents | The even denominator fractional quantum Hall (FQH) states $ν=5/2$ and $ν=7/2$ have been long predicted to host non-abelian quasiparticles (QPs). Their present energy-carrying neutral modes are hidden from customary conductance measurements and thus motivate thermal transport measurements, which are sensitive to all energy-carrying modes. While past `two-terminal' thermal conductance ($k_{2t}T$) measurements already proved the non-Abelian nature of the $ν=5/2$ FQH state, they might have been prone to a lack of thermal equilibration among the counter-propagating edge modes. Here, we report a novel thermal Hall conductance measurement of the $ν=5/2$ and $ν=7/2$ states, being insensitive to equilibration among edge modes. We verify the state's non-Abelian nature, with both states supporting a single upstream Majorana edge mode (hence, a particle-hole Pfaffian order). While current numerical works predict a different topological order, this contribution should motivate further theoretical work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15787 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological Thermal Hall Conductance of Even Denominator Fractional States Paul, Arup Kumar Tiwari, Priya Melcer, Ron Umansky, Vladimir Heiblum, Moty Mesoscale and Nanoscale Physics The even denominator fractional quantum Hall (FQH) states $ν=5/2$ and $ν=7/2$ have been long predicted to host non-abelian quasiparticles (QPs). Their present energy-carrying neutral modes are hidden from customary conductance measurements and thus motivate thermal transport measurements, which are sensitive to all energy-carrying modes. While past `two-terminal' thermal conductance ($k_{2t}T$) measurements already proved the non-Abelian nature of the $ν=5/2$ FQH state, they might have been prone to a lack of thermal equilibration among the counter-propagating edge modes. Here, we report a novel thermal Hall conductance measurement of the $ν=5/2$ and $ν=7/2$ states, being insensitive to equilibration among edge modes. We verify the state's non-Abelian nature, with both states supporting a single upstream Majorana edge mode (hence, a particle-hole Pfaffian order). While current numerical works predict a different topological order, this contribution should motivate further theoretical work. |
| title | Topological Thermal Hall Conductance of Even Denominator Fractional States |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2311.15787 |