Numerical investigation of the structure factors of the Read-Rezayi series
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910343090929664 |
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| author | Herviou, Loïc Mila, Frédéric |
| author_facet | Herviou, Loïc Mila, Frédéric |
| contents | We numerically investigate the guiding center stucture factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in [Can et al, Phys. Rev. Lett. 113 (2014)] for the $ν= \frac{3}{5}$ and $ν= \frac{4}{6}$ Read-Rezayi states. Furthermore, we discuss the strong finite-size effects present in numerically accessible wavefunctions, and provide a simple recipe to minimize them on manifolds where non-Abelian theories have topological degeneracies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical investigation of the structure factors of the Read-Rezayi series Herviou, Loïc Mila, Frédéric Strongly Correlated Electrons We numerically investigate the guiding center stucture factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in [Can et al, Phys. Rev. Lett. 113 (2014)] for the $ν= \frac{3}{5}$ and $ν= \frac{4}{6}$ Read-Rezayi states. Furthermore, we discuss the strong finite-size effects present in numerically accessible wavefunctions, and provide a simple recipe to minimize them on manifolds where non-Abelian theories have topological degeneracies. |
| title | Numerical investigation of the structure factors of the Read-Rezayi series |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2402.15560 |