Autor: |
Prashant Kumar, Frederick Duncan Michael Haldane |
Jazyk: |
angličtina |
Rok vydání: |
2024 |
Předmět: |
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Zdroj: |
SciPost Physics, Vol 16, Iss 5, p 117 (2024) |
Druh dokumentu: |
article |
ISSN: |
2542-4653 |
DOI: |
10.21468/SciPostPhys.16.5.117 |
Popis: |
We numerically compute the guiding center static structure factor $\bar S(k)$ of various fractional quantum Hall (FQH) states to $\mathcal{O}(k\ell)^6$ where $k$ is the wavenumber and $\ell$ is the magnetic length. Employing density matrix renormalization group on an infinite cylinder of circumference $L_y$, we study the two-dimensional limit using $L_y/\xi \gg 1$, where $\xi$ is the correlation length. The main findings of our work are: 1) the ground states that deviate away from the ideal conformal block wavefunctions, do not saturate the Haldane bound, and 2) the coefficient of $O(k\ell)^6$ term appears to be bounded above by a value predicted by field theories proposed in the literature. The first finding implies that the graviton mode is not maximally chiral for experimentally relevant FQH states. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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