Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911139230646272 |
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| author | Fagerlund, Alexander Nardin, Alberto Mazza, Leonardo Ardonne, Eddy |
| author_facet | Fagerlund, Alexander Nardin, Alberto Mazza, Leonardo Ardonne, Eddy |
| contents | We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value inherited from the fractional spin of the bulk quasiparticle. We present a geometric picture that does not rely on global symmetries of the wavefunction but is able to treat quasiparticles and edges with different shapes. We study finite-size many-body wavefunctions on the cylinder with circular quasiparticles and straight edges. Our results are supported by matrix-product-state calculations for the Laughlin and the k=3 Read-Rezayi states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles Fagerlund, Alexander Nardin, Alberto Mazza, Leonardo Ardonne, Eddy Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value inherited from the fractional spin of the bulk quasiparticle. We present a geometric picture that does not rely on global symmetries of the wavefunction but is able to treat quasiparticles and edges with different shapes. We study finite-size many-body wavefunctions on the cylinder with circular quasiparticles and straight edges. Our results are supported by matrix-product-state calculations for the Laughlin and the k=3 Read-Rezayi states. |
| title | Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2412.14879 |