Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917750589358080 |
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| author | Pu, Songyang Balram, Ajit C. Hu, Yuwen Tsui, Yen-Chen He, Minhao Regnault, Nicolas Zaletel, Michael P. Yazdani, Ali Papić, Zlatko |
| author_facet | Pu, Songyang Balram, Ajit C. Hu, Yuwen Tsui, Yen-Chen He, Minhao Regnault, Nicolas Zaletel, Michael P. Yazdani, Ali Papić, Zlatko |
| contents | Composite fermion (CF) is a topological quasiparticle that emerges from a non-perturbative attachment of vortices to electrons in strongly correlated two-dimensional materials. Similar to non-interacting fermions that form Landau levels in a magnetic field, CFs can fill analogous ``Lambda'' levels, giving rise to the fractional quantum Hall (FQH) effect of electrons. Here, we show that Lambda levels can be directly visualized through the characteristic peak structure in the signal obtained via spectroscopy with the scanning tunneling microscopy (STM) on a FQH state. Complementary to transport, which probes low-energy properties of CFs, we show that \emph{high-energy} features in STM spectra can be interpreted in terms of Lambda levels. We numerically demonstrate that STM spectra can be accurately modeled using Jain's CF theory. Our results show that STM provides a powerful tool for revealing the anatomy of FQH states and identifying physics beyond the non-interacting CF paradigm. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_06779 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy Pu, Songyang Balram, Ajit C. Hu, Yuwen Tsui, Yen-Chen He, Minhao Regnault, Nicolas Zaletel, Michael P. Yazdani, Ali Papić, Zlatko Mesoscale and Nanoscale Physics Strongly Correlated Electrons Composite fermion (CF) is a topological quasiparticle that emerges from a non-perturbative attachment of vortices to electrons in strongly correlated two-dimensional materials. Similar to non-interacting fermions that form Landau levels in a magnetic field, CFs can fill analogous ``Lambda'' levels, giving rise to the fractional quantum Hall (FQH) effect of electrons. Here, we show that Lambda levels can be directly visualized through the characteristic peak structure in the signal obtained via spectroscopy with the scanning tunneling microscopy (STM) on a FQH state. Complementary to transport, which probes low-energy properties of CFs, we show that \emph{high-energy} features in STM spectra can be interpreted in terms of Lambda levels. We numerically demonstrate that STM spectra can be accurately modeled using Jain's CF theory. Our results show that STM provides a powerful tool for revealing the anatomy of FQH states and identifying physics beyond the non-interacting CF paradigm. |
| title | Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2312.06779 |