TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.5.117
TI  - A numerical study of bounds in the correlations of fractional quantum Hall states
PY  - 2024/05/01
UR  - https://scipost.org/SciPostPhys.16.5.117
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 5
SP  - 117
A1  - Kumar, Prashant
AU  - Haldane, Frederick Duncan Michael
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.5.117,
	title={{A numerical study of bounds in the correlations of fractional quantum Hall states}},
	author={Prashant Kumar and Frederick Duncan Michael Haldane},
	journal={SciPost Phys.},
	volume={16},
	pages={117},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.5.117},
	url={https://scipost.org/10.21468/SciPostPhys.16.5.117},
}