Spin of fractional quantum Hall neutral modes and "missing states" on a sphere
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912715732156416 |
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| author | Nguyen, Dung Xuan Son, Dam Thanh |
| author_facet | Nguyen, Dung Xuan Son, Dam Thanh |
| contents | A low-energy neutral quasiparticle in a fractional quantum Hall system appears in the latter's energy spectrum on a sphere as a series of many-body excited states labeled by the angular momentum $L$ and whose energy is a smooth function of $L$ in the limit of large sphere radius. We argue that the signature of a nonvanishing spin (intrinsic angular momentum) $s$ of the quasiparticle is the absence, in this series, of states with total angular momentum less than $s$.We reinterpret the missing of certain states, observed in an exact-diagonalization calculation of the spectrum of the $ν=7/3$ FQH state in a wide quantum well as well as in many proposed wave functions for the excited states as a consequence of the spin-2 nature of the zero-momentum magnetoroton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin of fractional quantum Hall neutral modes and "missing states" on a sphere Nguyen, Dung Xuan Son, Dam Thanh Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Theory A low-energy neutral quasiparticle in a fractional quantum Hall system appears in the latter's energy spectrum on a sphere as a series of many-body excited states labeled by the angular momentum $L$ and whose energy is a smooth function of $L$ in the limit of large sphere radius. We argue that the signature of a nonvanishing spin (intrinsic angular momentum) $s$ of the quasiparticle is the absence, in this series, of states with total angular momentum less than $s$.We reinterpret the missing of certain states, observed in an exact-diagonalization calculation of the spectrum of the $ν=7/3$ FQH state in a wide quantum well as well as in many proposed wave functions for the excited states as a consequence of the spin-2 nature of the zero-momentum magnetoroton. |
| title | Spin of fractional quantum Hall neutral modes and "missing states" on a sphere |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.06914 |